ﬁrst order ode form A1

2.4.4 ﬁrst order ode form A1

Table 2.1137: ﬁrst order ode form A1 [65]


#	ODE	CAS classiﬁcation	Solved	Maple	Mma	Sympy	time(sec)

67	\begin{align} y^{\prime }&=6 \,{\mathrm e}^{2 x -y} \\ y \left (0\right ) &= 0 \\ \end{align}	[_separable]	✓	✓	✓	✓	3.409

159	\begin{align} y^{\prime }&=f \left (a x +b y+c \right ) \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	1.241

165	\begin{align} y^{\prime }&=\sin \left (x -y\right ) \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	1.865

702	\begin{align} y^{\prime }&=6 \,{\mathrm e}^{2 x -y} \\ y \left (0\right ) &= 0 \\ \end{align}	[_separable]	✓	✓	✓	✓	2.586

1237	\begin{align} y^{\prime }&={\mathrm e}^{x +y} \\ \end{align}	[_separable]	✓	✓	✓	✓	2.029

2320	\begin{align} y^{\prime }&={\mathrm e}^{3+t +y} \\ \end{align}	[_separable]	✓	✓	✓	✓	2.540

2491	\begin{align} y^{\prime }&={\mathrm e}^{3+t +y} \\ \end{align}	[_separable]	✓	✓	✓	✓	2.835

3295	\begin{align} y&=x +3 \ln \left (y^{\prime }\right ) \\ \end{align}	[_separable]	✓	✓	✓	✓	3.897

4101	\begin{align} y^{\prime }&={\mathrm e}^{x -2 y} \\ y \left (0\right ) &= 0 \\ \end{align}	[_separable]	✓	✓	✓	✓	4.306

4215	\begin{align} y^{\prime }&={\mathrm e}^{x -y} \\ \end{align}	[_separable]	✓	✓	✓	✓	3.295

4716	\begin{align} y^{\prime }&=a +b \cos \left (A x +B y\right ) \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✗	3.319

4730	\begin{align} y^{\prime }&=a +b \sin \left (A x +B y\right ) \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	3.717

4735	\begin{align} y^{\prime }&={\mathrm e}^{x +y} \\ \end{align}	[_separable]	✓	✓	✓	✓	4.028

4740	\begin{align} y^{\prime }&=f \left (a +b x +c y\right ) \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	2.177

7253	\begin{align} y^{\prime }&=\cos \left (x +y\right ) \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	1.602

7380	\begin{align} y^{\prime }-\sin \left (x +y\right )&=0 \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	1.684

7508	\begin{align} y^{\prime }&=\sin \left (x -y\right ) \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	1.958

7741	\begin{align} y^{\prime }&={\mathrm e}^{3 x -2 y} \\ y \left (0\right ) &= 0 \\ \end{align}	[_separable]	✓	✓	✓	✓	3.526

8158	\begin{align} \sin \left (y^{\prime }\right )&=x +y \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	1.864

8344	\begin{align} y^{\prime }&={\mathrm e}^{3 x +2 y} \\ \end{align}	[_separable]	✓	✓	✓	✓	3.201

8677	\begin{align} y^{\prime }&={\mathrm e}^{x -y} \\ \end{align}	[_separable]	✓	✓	✓	✓	3.388

8682	\begin{align} y^{\prime }&=\cos \left (x -y\right ) \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	2.766

8686	\begin{align} y^{\prime }&=\cos \left (x -y-1\right ) \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	2.865

10044	\begin{align} y^{\prime }&=-4 \sin \left (x -y\right )-4 \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	24.362

10045	\begin{align} y^{\prime }+\sin \left (x -y\right )&=0 \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	1.616

10324	\begin{align} y^{\prime }&={\mathrm e}^{x +y} \\ \end{align}	[_separable]	✓	✓	✓	✓	2.362

10325	\begin{align} y^{\prime }&=10+{\mathrm e}^{x +y} \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	2.069

11378	\begin{align} y^{\prime }-\cos \left (b x +a y\right )&=0 \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	1.550

11385	\begin{align} y^{\prime }-f \left (a x +b y\right )&=0 \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	1.176

14230	\begin{align} x^{\prime }&={\mathrm e}^{t +x} \\ x \left (0\right ) &= 0 \\ \end{align}	[_separable]	✓	✓	✓	✓	7.116

15022	\begin{align} y^{\prime }&={\mathrm e}^{x -y} \\ \end{align}	[_separable]	✓	✓	✓	✓	5.672

15119	\begin{align} y^{\prime }&=\cos \left (x +y\right ) \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	4.096

15542	\begin{align} y^{\prime }&={\mathrm e}^{x -y} \\ \end{align}	[_separable]	✓	✓	✓	✓	5.851

15543	\begin{align} y^{\prime }&=\ln \left (x +y\right ) \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	6.345

16216	\begin{align} y^{\prime }&=\sin \left (x +y\right ) \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	2.190

16223	\begin{align} y^{\prime }&={\mathrm e}^{2 x -3 y} \\ \end{align}	[_separable]	✓	✓	✓	✓	2.578

16376	\begin{align} y^{\prime }&={\mathrm e}^{4 x +3 y} \\ \end{align}	[_separable]	✓	✓	✓	✓	2.904

16377	\begin{align} y^{\prime }&=\tan \left (6 x +3 y+1\right )-2 \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	7.948

16378	\begin{align} y^{\prime }&={\mathrm e}^{4 x +3 y} \\ \end{align}	[_separable]	✓	✓	✓	✓	2.385

17082	\begin{align} y^{\prime }&={\mathrm e}^{2 y+10 t} \\ \end{align}	[_separable]	✓	✓	✓	✓	3.556

17083	\begin{align} y^{\prime }&={\mathrm e}^{3 y+2 t} \\ \end{align}	[_separable]	✓	✓	✓	✓	3.493

17120	\begin{align} y^{\prime }&={\mathrm e}^{x -y} \\ y \left (0\right ) &= 1 \\ \end{align}	[_separable]	✓	✓	✓	✓	4.913

17121	\begin{align} y^{\prime }&={\mathrm e}^{2 x -y} \\ y \left (0\right ) &= 1 \\ \end{align}	[_separable]	✓	✓	✓	✓	5.405

17858	\begin{align} y^{\prime }&=\cos \left (x -y\right ) \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	3.245

17889	\begin{align} y^{\prime }&=\sin \left (x -y\right ) \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	3.424

18065	\begin{align} y^{\prime }-1&={\mathrm e}^{x +2 y} \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	4.449

19265	\begin{align} y^{\prime }&={\mathrm e}^{3 x -2 y} \\ y \left (0\right ) &= 0 \\ \end{align}	[_separable]	✓	✓	✓	✓	3.791

21607	\begin{align} y^{\prime }&=\sin \left (x +y\right ) \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	3.440

22598	\begin{align} y^{\prime }&=\tan \left (x +y\right ) \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	7.961

22599	\begin{align} y^{\prime }&={\mathrm e}^{x +3 y}+1 \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	7.787

24268	\begin{align} y^{\prime }&={\mathrm e}^{x +y} \\ \end{align}	[_separable]	✓	✓	✓	✓	3.276

24320	\begin{align} y^{\prime }&=\sin \left (x +y\right ) \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	2.675

25023	\begin{align} y^{\prime }&=\sin \left (t -y\right ) \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	3.275

25054	\begin{align} y^{\prime }&=\cos \left (t +y\right ) \\ y \left (t_{0} \right ) &= y_{0} \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	31.868

25498	\begin{align} y^{\prime }&={\mathrm e}^{t +y} \\ \end{align}	[_separable]	✓	✓	✓	✓	4.407

25821	\begin{align} y^{\prime }&={\mathrm e}^{3 x +2 y} \\ \end{align}	[_separable]	✓	✓	✓	✓	5.145

26162	\begin{align} y^{\prime }&={\mathrm e}^{x -y} \\ \end{align}	[_separable]	✓	✓	✓	✓	1.730

26191	\begin{align} y^{\prime }&=\cos \left (x -y\right ) \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	1.578

26199	\begin{align} y^{\prime }&=-\sin \left (2 x -y\right ) \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	24.191

26222	\begin{align} y^{\prime }&=\sin \left (x -y\right ) \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	1.730

26398	\begin{align} y^{\prime }&=\tan \left (a x +b y+c \right ) \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	5.321

26407	\begin{align} y^{\prime }-1&={\mathrm e}^{x +2 y} \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	2.080

26918	\begin{align} y^{\prime }&=\ln \left (x -y\right ) \\ y \left (3\right ) &= \pi \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	1.758

27224	\begin{align} y^{\prime }&=\cos \left (x -y\right ) \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	1.441

27488	\begin{align} y^{\prime }&=-\tan \left (2 x -y\right ) \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	2.287

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