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Link: http://codepad.org/G6s6VLLp    [ raw code | output | fork ]

C, pasted on Jun 13:
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private void bt_ConvertActionPerformed(java.awt.event.ActionEvent evt) {                                           
        
        NewEnvironmentMacro.addNewEnvironment("multline", "\\multline@@env{", "}", 0);
        if (txtInput.getText().equals("")) {
            JOptionPane.showMessageDialog(rootPane, "HÌnh như bạn chưa điền phương trình.\nHãy nhập phương trình và chúng tôi sẽ giải quyết nó cho bạn.");
        } else {
            // biến lưu dạng pt do người dùng nhập
            String input = txtInput.getText();
            // mapleCode
            String mapleCode = "restart:\n"
                    + "#---------------------------------- TIỀN XỬ LÝ ------------------------------------\n"
                    + "chuyenVePt := proc (fString)\n"
                    + "	local ep; \n"
                    + "	ep := parse(fString);\n"
                    + "	ep := lhs(ep) - rhs(ep) = 0;\n"
                    + "	return convert(ep, string);\n"
                    + "end proc:\n"
                    + "\n"
                    + "taoChuoi := proc(str, L)\n"
                    + "	uses StringTools;\n"
                    + "	local new_str, n, i, temp;\n"
                    + "	new_str := str;\n"
                    + "	n := numelems(L);\n"
                    + "	for i from 1 to n do\n"
                    + "		temp := cat(\"{\", convert(i, string), \"}\");\n"
                    + "		new_str := Substitute(new_str, temp, L[i]);\n"
                    + "	end do;\n"
                    + "	return new_str;\n"
                    + "end proc:\n"
                    + "\n"
                    + "getSetOfChar := proc()\n"
                    + "	local charExpr, s;\n"
                    + "	uses StringTools;\n"
                    + "	charExpr := \"()*+-_./0123456789=ABCDEFGHIJKLMNOPQRSTUVWXYZ^abcdefghijklmnopqrstuvwxyz\";	\n"
                    + "	s := {seq(charExpr[i], i=1..length(charExpr))};\n"
                    + "	return s;\n"
                    + "end proc:\n"
                    + "tien_xu_ly := proc(str)	\n"
                    + "	local setOfChars, new_str, c;\n"
                    + "	uses StringTools;	\n"
                    + "	# xóa kí tự thừa\n"
                    + "	setOfChars := getSetOfChar();\n"
                    + "	new_str := \"\";\n"
                    + "	for c in str do\n"
                    + "		if (c = \"'\") or (c in setOfChars) then\n"
                    + "			new_str := cat(new_str, c);\n"
                    + "		end if;\n"
                    + "	end do;\n"
                    + "	# thay thế ' bằng _	\n"
                    + "	new_str := Substitute(new_str, \"'\", \"_\");\n"
                    + "	# thêm dấu bằng		\n"
                    + "	if Search(\"=\", new_str) = 0 then\n"
                    + "		new_str := cat(new_str, \"=0\");\n"
                    + "	else \n"
                    + "		new_str := chuyenVePt(new_str);\n"
                    + "	end if;			\n"
                    + "	return new_str;\n"
                    + "end proc:\n"
                    + "\n"
                    + "getLeft := proc(fString)\n"
                    + "	local f;\n"
                    + "	f := parse(fString);\n"
                    + "	return convert(lhs(f), string);\n"
                    + "end proc:\n"
                    + "\n"
                    + "getLatex := proc(f)\n"
                    + "	return cat(\"\\\\(\", latex(f, output=string), \"\\\\)\"); \n"
                    + "end proc:\n"
                    + "\n"
                    + "#---------------------------------------------------------------------------------\n"
                    + "#---------------------------------- NHẬN DẠNG ------------------------------------\n"
                    + "\n"
                    + "# ví dụ: xy = yu + xs thì input là: xy - yu - xs\n"
                    + "# Ví dụ: y' = y / x + e^(y / x)  thì input là: y' - y / x - e^(y / x)\n"
                    + "\n"
                    + "check2 := proc(f, var1, var2)\n"
                    + "	local vars, g;\n"
                    + "	g := subs(var1 = 1, f);\n"
                    + "	g := subs(var2 = 21, g);\n"
                    + "	g := subs(e = 0, g);\n"
                    + "	vars := indets(g);		\n"
                    + "	return evalb(numelems(vars) = 0);\n"
                    + "end proc:\n"
                    + "\n"
                    + "check := proc(f, var)\n"
                    + "	local vars, g;\n"
                    + "	g := subs(var = 0.1653001562, f);\n"
                    + "	g := subs(e = 0.1653001562, g);\n"
                    + "	vars := indets(g);		\n"
                    + "	return evalb(numelems(vars) = 0);\n"
                    + "end proc:\n"
                    + "\n"
                    + "check_tach_bien := proc (fString) \n"
                    + "	local fx, gy, f; \n"
                    + "	uses StringTools;	\n"
                    + "	if evalb(0 < Search(\"y_\", fString)) then \n"
                    + "		return [false];\n"
                    + "	end if; \n"
                    + "	f := parse(fString); \n"
                    + "	fx := coeff(f, dx, 1); \n"
                    + "	gy := coeff(f, dy, 1); \n"
                    + "	if check(fx, x) and check(gy, y) then \n"
                    + "		return [true, fx, gy];\n"
                    + "	else \n"
                    + "		return [false] \n"
                    + "	end if; \n"
                    + "end proc:\n"
                    + "\n"
                    + "check_dang_cap := proc(fString)	\n"
                    + "	local g, gString, f;	\n"
                    + "	uses StringTools;\n"
                    + "	if evalb(0 = Search(\"y_\", fString)) then \n"
                    + "		return [false];\n"
                    + "	end if; \n"
                    + "	gString := Subs(\"y_\" = \"0\", fString):\n"
                    + "	g := parse(gString):\n"
                    + "	g := algsubs(y/x = u, g):\n"
                    + "	if check(g, u) then\n"
                    + "		return [true, parse(gString)];\n"
                    + "	end if;\n"
                    + "	return [false];\n"
                    + "end proc:\n"
                    + "\n"
                    + "check_tuyen_tinh_cap_1 := proc(fString)\n"
                    + "	local g, gString, px, qx;\n"
                    + "	uses StringTools;\n"
                    + "	try		\n"
                    + "		if evalb(0 = Search(\"y_\", fString)) then \n"
                    + "			return [false];\n"
                    + "		end if; \n"
                    + "		gString := Subs(\"y_\" = \"0\", fString):\n"
                    + "		g := parse(gString):		\n"
                    + "		px := coeff(g, y, 1);		\n"
                    + "		qx := expand(px * y) - expand(g);		\n"
                    + "		if check(px, x) and check(qx, x) then\n"
                    + "			return [true, px, qx];\n"
                    + "		end if;\n"
                    + "	catch:\n"
                    + "		printf(\"Bị lỗi \\n \");\n"
                    + "		return [false];\n"
                    + "	end try;\n"
                    + "	return [false];\n"
                    + "end proc:\n"
                    + "\n"
                    + "check_bernouli := proc(fString)\n"
                    + "	local f, g, beta, alpha, remind, gString, i, px, qx;\n"
                    + "	uses StringTools;\n"
                    + "	try						\n"
                    + "		if Search(\"y_\", fString) = 0 then \n"
                    + "			return [false];\n"
                    + "		end if; \n"
                    + "		# Xóa y'\n"
                    + "		gString := Subs(\"y_\" = \"0\", fString):\n"
                    + "		g := parse(gString);\n"
                    + "		f := expand(g / y);	\n"
                    + "		\n"
                    + "		remind := expand(g) - expand(f * y);\n"
                    + "		if remind != 0 then\n"
                    + "			return [false];\n"
                    + "		end if;		\n"
                    + "		# tim alpha		\n"
                    + "		px := coeff(f, y, 0);\n"
                    + "		f := expand(f) - expand(px);		\n"
                    + "		g := coeffs(f, y);				\n"
                    + "		if numelems({g}) != 1 then\n"
                    + "			return [false];\n"
                    + "		end if;\n"
                    + "		alpha := -10;		\n"
                    + "		for beta from -5 to 5 do\n"
                    + "			if expand(g * (y ^ beta)) = expand(f) then\n"
                    + "				alpha := beta + 1;\n"
                    + "				break;\n"
                    + "			end if;\n"
                    + "		end do;	\n"
                    + "		if alpha = -10 then \n"
                    + "			return [false];\n"
                    + "		end if;\n"
                    + "		qx := -g;				\n"
                    + "		if check(px, x) and check(qx, x) then\n"
                    + "			return [true, px, qx, alpha];\n"
                    + "		end if;\n"
                    + "	catch:\n"
                    + "		printf(\"Bị lỗi \\n \");\n"
                    + "		return [false];\n"
                    + "	end try;\n"
                    + "	return [false];	\n"
                    + "end proc:\n"
                    + "\n"
                    + "check_vi_phan_toan_phan := proc(fString)\n"
                    + "	local pxy, qxy, f;\n"
                    + "	f := parse(fString); \n"
                    + "	pxy := coeff(f, dx, 1);\n"
                    + "	qxy := coeff(f, dy, 1);	\n"
                    + "	if check2(pxy, x, y) and check2(qxy, x, y) then\n"
                    + "		return [true, pxy, qxy];\n"
                    + "	else\n"
                    + "		return [false];\n"
                    + "	end if;\n"
                    + "end proc:\n"
                    + "\n"
                    + "nhan_dien := proc(gString)\n"
                    + "	local f, fString;\n"
                    + "	fString := tien_xu_ly(gString);			\n"
                    + "	fString := getLeft(fString);\n"
                    + "	f := check_tach_bien(fString);\n"
                    + "	if f[1] = true then\n"
                    + "		return [\"tach_bien\", f[2], f[3]];\n"
                    + "	end if;\n"
                    + "	f := check_dang_cap(fString);\n"
                    + "	if f[1] = true then\n"
                    + "		return [\"dang_cap\", f[2]];\n"
                    + "	end if;\n"
                    + "	f := check_tuyen_tinh_cap_1(fString);\n"
                    + "	if f[1] = true then\n"
                    + "		return [\"tuyen_tinh\", f[2], f[3]];\n"
                    + "	end if;\n"
                    + "	f := check_bernouli(fString);\n"
                    + "	if f[1] = true then\n"
                    + "		return [\"bernouli\", f[2], f[3], f[4]];\n"
                    + "	end if;	\n"
                    + "	f := check_vi_phan_toan_phan(fString);\n"
                    + "	if f[1] = true then\n"
                    + "		return [\"toan_phan\", f[2], f[3]];\n"
                    + "	end if;\n"
                    + "	return [\"unknown\"];\n"
                    + "end proc:\n"
                    + "\n"
                    + "#---------------------------------------------------------------------------------\n"
                    + "#---------------------------------- BỘ GIẢI TOÁN ------------------------------------\n"
                    + "giaiPtTachBien:=proc(L)\n"
                    + "	local	fxPf, gyPf, raw, resEx, Fx, Gy, \n"
                    + "			rawPf, int_expr_Pf, resPf;\n"
                    + "	local _res;\n"
                    + "	\n"
                    + "	Fx := L[1];  Gy := L[2];\n"
                    + "	printf(\"Phương trình của bạn là phương trình tách biến \\n \");\n"
                    + "	_res := \"Phuong trinh cua ban la phuong trinh tach bien \\n \";\n"
                    + "	fxPf := getLatex(Fx);\n"
                    + "	gyPf := getLatex(Gy);\n"
                    + "	printf(\"Ta đưa phương trình về dạng:  \\n \");\n"
                    + "	_res := cat(_res, \"Ta dua phuong trinh ve dang:  \\n \");\n"
                    + "	raw := Fx*dx + Gy*dy;\n"
                    + "	rawPf := getLatex(raw, output=string);\n"
                    + "	printf(\"%s = 0\", rawPf);\n"
                    + "	_res := cat(_res, taoChuoi(\"{1} = 0\", [rawPf]));\n"
                    + "	printf(\" \\n Tiếp theo ta tính nguyên hàm 2 vế: \\n \");	\n"
                    + "	_res := cat(_res, \" \\n Tiep theo ta tinh nguyen ham 2 ve: \\n \");\n"
                    + "	int_expr_Pf := getLatex(Int(Fx, x) + Int(Gy, y));\n"
                    + "	printf(\"%s = 0\", int_expr_Pf);\n"
                    + "	_res := cat(_res, taoChuoi(\"{1} = 0 \", [int_expr_Pf]));\n"
                    + "	printf(\"  \\n Vậy, nghiệm tổng quát của phương trình là:  \\n \");\n"
                    + "	_res := cat(_res, \"  \\n Vay, nghiem tong quat cua phuong trinh la:  \\n \");\n"
                    + "	resEx := int(Fx,x) + int(Gy,y) = C;\n"
                    + "	resPf := getLatex(resEx);\n"
                    + "	printf(resPf);	\n"
                    + "	_res := cat(_res, resPf);\n"
                    + "	return _res;\n"
                    + "end proc:\n"
                    + "\n"
                    + "dang_cap := proc(L)\n"
                    + "	local FxPf, fuPf, fu, u, resTB, Fx;\n"
                    + "	local resPf;\n"
                    + "	local _res;\n"
                    + "	\n"
                    + "	Fx := -L[1];		\n"
                    + "	printf(\"Phương trình của bạn là phương trình đẳng cấp \\n \");\n"
                    + "	_res := \"Phuong trinh cua ban la phuong trinh dang cap \\n \";\n"
                    + "	FxPf := getLatex(Fx);	\n"
                    + "	printf(\"Phương trình của bạn là: y' = %s \\n \", FxPf);\n"
                    + "	_res := cat(_res, taoChuoi(\"Phuong trinh cua ban la: y' = {1}  \\n \", [FxPf]));\n"
                    + "	printf(\"Các bước giải:  \\n \");\n"
                    + "	_res := cat(_res, \"Cac buoc giai:  \\n \");\n"
                    + "	printf(\"Đặt u = y/x => y = u.x => y' = u + xu' \\n \");	\n"
                    + "	_res := cat(_res, \"Dat u = y/x => y = u.x => y' = u + xu' \\n \");\n"
                    + "	printf(\"Thay y' vào phương trình đầu ta được:  \\n \");\n"
                    + "	_res := cat(_res, \"Thay y' vao phuong trinh dau ta duoc:  \\n \");\n"
                    + "\n"
                    + "	fu := algsubs(y / x = u, Fx) - u;\n"
                    + "	fuPf := getLatex(fu);\n"
                    + "	printf(\"xu' = %s  \\n \", fuPf);\n"
                    + "	_res := cat(_res, taoChuoi(\"xu' = {1}  \\n \", [fuPf]));\n"
                    + "	printf(\"Đây là phương trình tách biến, ta sẽ giải dựa theo phương trình tách biến  \\n \");\n"
                    + "	_res := cat(_res, \"Day la phuong trinh tach bien, ta se giai dua theo phuong trinh tach bien \\n \");\n"
                    + "	fu := algsubs(u = y, fu);		\n"
                    + "	resTB := giaiPtTachBien([-1/x, 1/fu]);\n"
                    + "	printf(\"Giải phương trình tách biến trên ta được  \\n \");\n"
                    + "	_res := cat(_res, \"Giai phuong trinh tach bien tren ta duoc  \\n \");\n"
                    + "	\n"
                    + "	resTB := algsubs(y = u, resTB);\n"
                    + "	resPf := getLatex(getTB);\n"
                    + "	printf(\"%s  \\n \", resPf);\n"
                    + "	_res := cat(_res, taoChuoi(\"{1}  \\n \", [resPf]));\n"
                    + "	\n"
                    + "	resTB := algsubs(u = y / x, resTB);\n"
                    + "	resPf := getLatex(resTB);	\n"
                    + "	printf(\"Tương đương với: %s  \\n \", resPf);\n"
                    + "	_res := cat(_res, taoChuoi(\"Tuong duong voi: {1}  \\n \", [resPf]));\n"
                    + "	return _res;\n"
                    + "end proc:\n"
                    + "\n"
                    + "tuyen_tinh_cap_1 := proc(L) \n"
                    + "	local PxPf, QxPf, aPf, yPf, y, res1, res2, a, C, Px, Qx;\n"
                    + "	local _res;\n"
                    + "	\n"
                    + "	Px := L[1];\n"
                    + "	Qx := L[2];\n"
                    + "	printf(\"Phương trình của bạn là phương trình tuyến tính cấp 1 \\n \");\n"
                    + "	_res := \"Phuong trinh cua ban la phuong trinh tuyen tinh cap 1 \\n \";\n"
                    + "	\n"
                    + "	PxPf := getLatex(Px);\n"
                    + "	QxPf := getLatex(Qx);\n"
                    + "	printf(\"Phương trình của bạn là: y' + (%s)y = %s  \\n \", PxPf, QxPf);\n"
                    + "	_res := cat(_res, taoChuoi(\"Phuong trinh cua ban la: y' + ({1})y = {2}  \\n \", [PxPf, QxPf]));\n"
                    + "	\n"
                    + "	printf(\"Các bước giải:  \\n \");\n"
                    + "	_res := cat(_res, \"Cac buoc giai:  \\n \");\n"
                    + "	printf(\"Đầu tiên, mình tính nguyên hàm của: %s,  \\n Đặt nó là a. Ta có:  \\n \", PxPf);\n"
                    + "	_res := cat(_res, taoChuoi(\"Dau tien, minh tinh nguyen ham cua  {1},  \\n Dat no la a. Ta co:  \\n \", [PxPf]));\n"
                    + "	a := int(Px, x);\n"
                    + "	aPf := getLatex(Int(Px, x));\n"
                    + "	printf(\"<=> a = %s \\n \", aPf);\n"
                    + "	_res := cat(_res, taoChuoi(\"<=> a = {1}  \\n \", [aPf]));\n"
                    + "	yPf := getLatex(exp(-a) * (Int(Qx * exp(a), x)) + C);\n"
                    + "	printf(\"Vậy kết quả là: y = %s \\n \", yPf);\n"
                    + "	_res := cat(_res, taoChuoi(\"Vay ket qua la: y = {1}  \\n \", [yPf]));\n"
                    + "	y := exp(-1 * a) * (int(Qx * exp(a), x) + C);\n"
                    + "	res1 := getLatex(y);\n"
                    + "	printf(\"=> y = %s \\n \", res1);\n"
                    + "	_res := cat(_res, taoChuoi(\"=> y = {1}  \\n \", [res1]));\n"
                    + "	res2 := getLatex(expand(y));\n"
                    + "	if length(res1) > length(res2) then\n"
                    + "		printf(\"<=> y = %s\", res2);\n"
                    + "		_res := cat(_res, taoChuoi(\"<=> y = {1}\", [res2]));\n"
                    + "	end if;\n"
                    + "	return [y, _res];\n"
                    + "end proc:\n"
                    + "\n"
                    + "bernouli := proc(L)\n"
                    + "	local PxPf, QxPf, aPf, z, zPf, diff_z, diff_y, y;\n"
                    + "	local main_expr,diff_z_before, expr_ps, _Px, _Qx, Px, Qx, alpha;\n"
                    + "	local exprPf, daoHamZY, daoHamZYPf, yPf;\n"
                    + "	local _res; \n"
                    + "	\n"
                    + "	Px := L[1];\n"
                    + "	Qx := L[2];\n"
                    + "	alpha := L[3];\n"
                    + "\n"
                    + "	printf(\"Phương trình của bạn là phương trình bernouli \\n \");	\n"
                    + "	_res := \"Phuong trinh cua ban la phuong trinh bernouli \\n \";\n"
                    + "	PxPf := getLatex(Px);\n"
                    + "	QxPf := getLatex(Qx);\n"
                    + "	aPf := getLatex(alpha);\n"
                    + "	\n"
                    + "	main_expr := diff_y + Px * y = Qx * (y ^ alpha);\n"
                    + "	exprPf := getLatex(Px * y = Qx * y ^ alpha);\n"
                    + "	\n"
                    + "	printf(\"Phương trình của bạn là: y' + %s (1) \\n \", exprPf);\n"
                    + "	_res := cat(_res, taoChuoi(\"Phuong trinh cua ban la: y' + {1} (1) \\n \", [exprPf]));\n"
                    + "	printf(\"Các bước giải:  \\n \");\n"
                    + "	_res := cat(_res, \"Cac buoc giai:  \\n \");\n"
                    + "	z := y ^ (1 - alpha);\n"
                    + "	zPf := getLatex(z);	\n"
                    + "	printf(\"Đặt z = %s \\n \", zPf);	\n"
                    + "	_res := cat(_res, taoChuoi(\"Dat z = {1}  \\n \", [zPf]));\n"
                    + "	daoHamZY := diff(z, y);\n"
                    + "	daoHamZYPf := getLatex(Diff(z, y));	\n"
                    + "	printf(\"Suy ra, z' = (%s)y' \\n \", daoHamZYPf);\n"
                    + "	_res := cat(_res, taoChuoi(\"Suy ra, z' = ({1})y' \\n \", [daoHamZYPf]));\n"
                    + "	printf(\"Nhân cả 2 vế của phương trình (1) với %s, ta có:  \\n \", daoHamZYPf);	\n"
                    + "	_res := cat(_res, taoChuoi(\"Nhan ca 2 ve cua phuong trinh (1) voi {1}, ta co:  \\n \", [daoHamZYPf]));\n"
                    + "	main_expr := expand(main_expr * daoHamZY);\n"
                    + "	exprPf := getLatex(main_expr);\n"
                    + "	printf(\"(1) <=> %s \\n \", exprPf);\n"
                    + "	_res := cat(_res, taoChuoi(\"(1) <=> {1}  \\n \", [exprPf]));\n"
                    + "	\n"
                    + "	diff_z_before := _z * diff_y;		\n"
                    + "	main_expr := algsubs(diff_z_before = _z, main_expr);	\n"
                    + "	z := 'z';\n"
                    + "	main_expr := algsubs(y ^ (1 - alpha) = z, main_expr);\n"
                    + "\n"
                    + "	exprPf := getLatex(main_expr);\n"
                    + "	printf(\"==> %s\", exprPf);\n"
                    + "	_res := cat(_res, taoChuoi(\"==> {1}\", [exprPf]));\n"
                    + "	printf(\"(Đây là phương trình tuyến tính cấp 1) \\n \");\n"
                    + "	_res := cat(_res, \"(Day la phuong trinh tuyen tinh cap 1) \\n \");\n"
                    + "	_Px := coeff(lhs(main_expr), z);\n"
                    + "	_Qx := rhs(main_expr);\n"
                    + "	\n"
                    + "	z := tuyen_tinh_cap_1([_Px, _Qx]);\n"
                    + "	_res := cat(_res, z[2]);\n"
                    + "	z := z[1];\n"
                    + "	zPf := getLatex(z);	\n"
                    + "	printf(\" \\n z = %s\", zPf);\n"
                    + "	_res := cat(_res, taoChuoi(\" \\n z = {1}\", [zPf]));\n"
                    + "	\n"
                    + "	yPf := getLatex(y^(1-alpha) = z);\n"
                    + "	printf(\" \\n <=> %s\", yPf);	\n"
                    + "	_res := cat(_res, taoChuoi(\" \\n <=> {1}\", [yPf]));\n"
                    + "end proc:\n"
                    + "\n"
                    + "giai_ptviphan_toanphan := proc(L) \n"
                    + "	local pxyPf, qxyPf, diff_Pxy, diff_Qxy, int_Py, int_Qx;\n"
                    + "	local res, resPf, Pxy, Qxy, nguyenHamPxy, Diff_Uy;\n"
                    + "	local daoHam_nguyenHamPxy_theo_y, daoHam_c_y, c_y, int_Px;\n"
                    + "	local daoHamPYPf1, daoHamPY, daoHamPYPf2 , daoHamQXPf1, daoHamQX, daoHamQXPf2;\n"
                    + "	local nguyenHamPXPf1, nguyenHamPX, nguyenHamPXPf2, daoHamUYPf;\n"
                    + "	local daoHam_nguyenHamPxy_theo_yPf, daoHam_c_yPf, c_yPf;\n"
                    + "	local _res;\n"
                    + "	\n"
                    + "	uses StringTools;\n"
                    + "	Pxy := L[1];\n"
                    + "	Qxy := L[2];\n"
                    + "	\n"
                    + "	printf(\"Phương trình của bạn là phương trình vi phân toàn phần \\n \");	\n"
                    + "	_res := \"$\\mbox{Phuong trinh cua ban la phuong trinh vi phan toan phan}$ \\n \";\n"
                    + "	pxyPf := getLatex(Pxy);\n"
                    + "	qxyPf := getLatex(Qxy);\n"
                    + "	printf(\"Phương trình có dạng: (%s)dx + (%s)dy = 0  \\n \", pxyPf, qxyPf);\n"
                    + "	_res := cat(_res, taoChuoi(\"$\\mbox{Phuong trinh co dang: }${1}dx + {2}dy = 0  \\n \", [pxyPf, qxyPf]));\n"
                    + "	daoHamPYPf1 := getLatex(Diff(Pxy, y));\n"
                    + "	printf(\"Cách giải: \\n Tính %s \\n \", daoHamPYPf1); \n"
                    + "	_res := cat(_res, taoChuoi(\"$\\mbox{Cach giai: }$ \\n Tinh {1}  \\n \", [daoHamPYPf1]));\n"
                    + "	daoHamPY := diff(Pxy, y); \n"
                    + "	daoHamPYPf2 := getLatex(daoHamPY);	\n"
                    + "	printf(\"%s = %s (1) \\n \", daoHamPYPf1, daoHamPYPf2); \n"
                    + "	_res := cat(_res, taoChuoi(\"{1} = {2} (1) \\n \", [daoHamPYPf1, daoHamPYPf2]));\n"
                    + "	\n"
                    + "	daoHamQXPf1 := getLatex(Diff(Qxy, x));\n"
                    + "	printf(\"Tính %s \\n \", daoHamQXPf1); \n"
                    + "	_res := cat(_res, taoChuoi(\"Tinh {1}  \\n \", [daoHamQXPf1]));\n"
                    + "	daoHamQX := diff(Qxy, x); \n"
                    + "	daoHamQXPf2 := getLatex(daoHamQX);	\n"
                    + "	printf(\"Q'x = (%s) (2) \\n \", daoHamQXPf2); \n"
                    + "	_res := cat(_res, taoChuoi(\"Q'x = ({1}) (2) \\n \", [daoHamQXPf2]));\n"
                    + "	\n"
                    + "	# kiem tra 2 cai giong nhau\n"
                    + "	daoHamPY := sort(daoHamPY);\n"
                    + "	daoHamQX := sort(daoHamQX);\n"
                    + "	if daoHamPY = daoHamQX then \n"
                    + "		printf(\"%s = %s = %s \\n \", daoHamPYPf1, daoHamQXPf1, daoHamPYPf2);\n"
                    + "		_res := cat(_res, taoChuoi(\"{1} = {2} = {3}  \\n \", [daoHamPYPf1, daoHamQXPf1, daoHamPYPf2]));\n"
                    + "		nguyenHamPXPf1 := getLatex(Int(Pxy, x));\n"
                    + "		printf(\"Từ (1) ta suy ra: U(x, y) = %s + c(y) \\n \", nguyenHamPXPf1);\n"
                    + "		_res := cat(_res, taoChuoi(\"Tu (1) ta suy ra: U(x, y) = {1} + c(y) \\n \", [nguyenHamPXPf1]));\n"
                    + "		nguyenHamPX := int(Pxy, x);\n"
                    + "		nguyenHamPXPf2 := getLatex(nguyenHamPX);\n"
                    + "		printf(\"=> U(x, y) = %s + c(y) \\n \", nguyenHamPXPf2);\n"
                    + "		_res := cat(_res, taoChuoi(\"=> U(x, y) = {1} + c(y) \\n \", [nguyenHamPXPf2]));\n"
                    + "		daoHamUYPf := getLatex(Diff(U, y));\n"
                    + "		daoHam_nguyenHamPxy_theo_y := diff(nguyenHamPX, y);	\n"
                    + "		daoHam_nguyenHamPxy_theo_yPf := getLatex(Diff(nguyenHamPX, y));\n"
                    + "		printf(\"=> %s = %s + c'(y) = %s \\n \", daoHamUYPf, daoHam_nguyenHamPxy_theo_yPf, qxyPf);\n"
                    + "		_res := cat(_res, taoChuoi(\"=> {1} = {2} + c'(y) = {3}.  \\n \", [daoHamUYPf, daoHam_nguyenHamPxy_theo_yPf, qxyPf]));\n"
                    + "		daoHam_c_y := Qxy - daoHam_nguyenHamPxy_theo_y;\n"
                    + "		daoHam_c_yPf := getLatex(daoHam_c_y);		\n"
                    + "		printf(\"==> c'(y) = %s \\n \", daoHam_c_yPf);		\n"
                    + "		_res := cat(_res, taoChuoi(\"==> c'(y) = {1}.  \\n \", [daoHam_c_yPf]));\n"
                    + "		c_y := int(daoHam_c_y, y);\n"
                    + "		c_yPf := getLatex(Int(daoHam_c_y, y));\n"
                    + "		printf(\"==> c(y) = %s + c1 \\n \", c_yPf);\n"
                    + "		_res := cat(_res, taoChuoi(\"==> c(y) = {1} + c1. \\n \", [c_yPf]));\n"
                    + "			\n"
                    + "		res := nguyenHamPX + c_y;\n"
                    + "		res := subs(ln(e)=1, res);\n"
                    + "		resPf := getLatex(res);\n"
                    + "		printf(\"Vậy, kết quả là: U(x, y) = %s + c1 \\n \", resPf);\n"
                    + "		_res := cat(_res, taoChuoi(\"Vay, ket qua la: U(x, y) = {1} + c1. \\n \", [resPf]));\n"
                    + "	else\n"
                    + "		printf(\"Chương trình không có khả năng giải phương trình này.\");\n"
                    + "		_res := cat(_res, \"Chuong trinh khong co kha nang giai phuong trinh nay.\");\n"
                    + "	end if;\n"
                    + "	return _res;\n"
                    + "end proc:\n"
                    + "\n"
                    + "#----------------------------------------------------------------------------------\n"
                    + "#----------------------------------------MAIN--------------------------------------\n"
                    + "\n"
                    + "giai_phuong_trinh_vi_phan := proc(fString)\n"
                    + "	local argus, kind, methods;\n"
                    + "	local _res;\n"
                    + "	methods := table([\"tach_bien\" = giaiPtTachBien, \"dang_cap\" = dang_cap, \n"
                    + "	\"bernouli\" = bernouli, \"tuyen_tinh\" = tuyen_tinh_cap_1, \"toan_phan\" = giai_ptviphan_toanphan]);			\n"
                    + "	argus := nhan_dien(fString);	\n"
                    + "	kind := argus[1];\n"
                    + "	_res := \"\";\n"
                    + "	if kind = \"unknown\" then \n"
                    + "		printf(\"Chương trình không có khả năng giải phương trình này \\n \");\n"
                    + "		_res := \"Chuong trinh khong co kha nang giai phuong trinh nay. \\n \";\n"
                    + "		return ;\n"
                    + "	end if;	\n"
                    + "	_res := cat(_res, methods[kind](argus[2..]));\n"
                    + "	return _res;\n"
                    + "end proc:\n"
                    + "\n"
                    + "giai_phuong_trinh_vi_phan(\"" + input + "\");\n";
            // y' + 2*x*y = 2*x*x*y*y*y
            // kết nối Maple
            String mapleArgs[];
            Engine engine;
            mapleArgs = new String[1];
            mapleArgs[0] = "java";
            Procedure p;
            try {
                engine = new Engine(mapleArgs, new EngineCallBacksDefault(), null, null);
                String res = engine.evaluate(mapleCode).toString();
                System.out.println("Đây là chuỗi trong ngoặc");
                System.out.println(res);
                String old_c = "\\n";
                String new_c = "\\\\\\\\\\n ";
                String final_res1 = res.replace(old_c, new_c);
                System.out.println("\nSau khi thay thế \\n bằng \\\\\\\\\\n"); // thay \n bằng \\\\\n
                System.out.println(final_res1);
                String final_res2 = final_res1.replace('"', ' '); // loại bỏ dấu "
                System.out.println(final_res2);
                
                
                
                // show biểu thức toán học.
                String latex1 = "" // biểu thức latex hoàn chỉnh
                        + "\\begin{multline}\n"
                        + final_res2
                        + "\n\\end{multline}\n";
//                System.out.println("Biểu thức latex của phương trình.");
//                System.out.println(latex);

                String latex = "\\begin{multline}"
                               +" Phuong trinh cua ban la phuong trinh tach bien \\\\\n  Ta dua phuong trinh ve dang:  \\\\\n  \\(0\\) = 0 \\\\\n  Tiep theo ta tinh nguyen ham 2 ve: \\\\\n  \\(\\int \\!0\\,{\\rm d}x+\\int \\!0\\,{\\rm d}y\\) = 0   \\\\\n  Vay, nghiem tong quat cua phuong trinh la:  \\\\\n  \\(0=C\\)" 
                               +" \\end{multline}";

                TeXFormula formula1 = new TeXFormula(latex);
        
                // code dưới chạy được  
//                TeXFormula formula1 = new TeXFormula(""
//                    + " \\begin{multline}\n"
//                    + " $\\mbox{Phuong trinh cua ban la phuong trinh vi phan toan phan}$  \\\\\n "
//                    + " $\\mbox{Phuong trinh co dang: }$ (\\(0\\))dx + (\\(0\\))dy = 0  \\\\\n"
//                    + " $\\mbox{Cach giai: }\\\\\n"
//                    + " $\\mbox{Tinh }\\({\\frac {\\rm d}{{\\rm d}y}} \\left( 0 \\right) \\) \\\\\n"
//                    + " \\({\\frac {\\rm d}{{\\rm d}y}} \\left( 0 \\right) \\) = \\(0\\) (1) \\\\\n"
//                    + " $\\mbox{--Tinh  \\({\\frac {\\rm d}{{\\rm d}x}} \\left( 0 \\right) \\) \\\\\n"
//                    + " Q'x = (\\(0\\)) (2) \\\\\n"
//                    + " \\({\\frac {\\rm d}{{\\rm d}y}} \\left( 0 \\right) \\) = \\({\\frac {\\rm d}{{\\rm d}x}} \\left( 0 \\right) \\) = \\(0\\) \\\\\n"
//                    + " Tu (1) ta suy ra: U(x, y) = \\(\\int \\!0\\,{\\rm d}x\\) + c(y) \\\\\n"
//                    + " => U(x, y) = \\(0\\) + c(y) \\\\\n"
//                    + " => \\({\\frac {\\rm d}{{\\rm d}y}}U\\) = \\({\\frac {\\rm d}{{\\rm d}y}} \\left( 0 \\right) \\) + c'(y) = \\(0\\) \\\\\n"
//                    + " ==> c'(y) = \\(0\\) \\\\\n"
//                    + " ==> c(y) = \\(\\int \\!0\\,{\\rm d}y\\) + c1 \\\\\n"
//                    + " Vay, ket qua la: U(x, y) = \\(0\\) + c1 "
//                    + "\\end{multline}\n");
                TeXIcon t1 = formula1.createTeXIcon(TeXConstants.STYLE_DISPLAY, 20);
                BufferedImage b1 = new BufferedImage(t1.getIconWidth(), t1.getIconHeight(), BufferedImage.TYPE_4BYTE_ABGR);
                t1.paintIcon(pn_kq, b1.getGraphics(), 0, 0);
                lb_kq.setIcon(t1);
            } catch (MapleException ex) {
                JOptionPane.showMessageDialog(rootPane, ex.getMessage());
            }

        }


    }       


Output:
1
Line 1: error: expected '=', ',', ';', 'asm' or '__attribute__' before 'void'


Create a new paste based on this one


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