ﬁrst order ode homog type C

2.4.15 ﬁrst order ode homog type C

Table 2.1079: ﬁrst order ode homog type C [43]


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

120	\begin{align} y^{\prime }&=\sqrt {x +y+1} \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	1.629

121	\begin{align} y^{\prime }&=\left (4 x +y\right )^{2} \\ \end{align}	[[_homogeneous, ‘class C‘], _Riccati]	✓	✓	✓	✓	1.024

122	\begin{align} \left (x +y\right ) y^{\prime }&=1 \\ \end{align}	[[_homogeneous, ‘class C‘], [_Abel, ‘2nd type‘, ‘class C‘], _dAlembert]	✓	✓	✓	✓	1.198

208	\begin{align} y^{\prime }&=\sqrt {x +y} \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	1.747

744	\begin{align} y^{\prime }&=\sqrt {x +y+1} \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	1.504

745	\begin{align} y^{\prime }&=\left (4 x +y\right )^{2} \\ \end{align}	[[_homogeneous, ‘class C‘], _Riccati]	✓	✓	✓	✓	1.057

1619	\begin{align} y^{\prime }&=\sqrt {x +y} \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	1.915

3467	\begin{align} y^{\prime }&=\frac {1}{x +2 y+1} \\ \end{align}	[[_homogeneous, ‘class C‘], [_Abel, ‘2nd type‘, ‘class C‘], _dAlembert]	✓	✓	✓	✓	3.316

3671	\begin{align} y^{\prime }&=\left (9 x -y\right )^{2} \\ y \left (0\right ) &= 0 \\ \end{align}	[[_homogeneous, ‘class C‘], _Riccati]	✓	✓	✓	✓	2.495

3672	\begin{align} y^{\prime }&=\left (4 x +y+2\right )^{2} \\ \end{align}	[[_homogeneous, ‘class C‘], _Riccati]	✓	✓	✓	✓	4.997

4245	\begin{align} y^{\prime }&=\left (x +y\right )^{2} \\ \end{align}	[[_homogeneous, ‘class C‘], _Riccati]	✓	✓	✓	✓	1.133

4655	\begin{align} y^{\prime }&=\left (x +y\right )^{2} \\ \end{align}	[[_homogeneous, ‘class C‘], _Riccati]	✓	✓	✓	✓	1.481

4664	\begin{align} y^{\prime }&=\left (3+x -4 y\right )^{2} \\ \end{align}	[[_homogeneous, ‘class C‘], _Riccati]	✓	✓	✓	✓	6.497

4665	\begin{align} y^{\prime }&=\left (1+4 x +9 y\right )^{2} \\ \end{align}	[[_homogeneous, ‘class C‘], _Riccati]	✓	✓	✓	✓	15.109

7006	\begin{align} y^{\prime }&=\left (x +y\right )^{2} \\ \end{align}	[[_homogeneous, ‘class C‘], _Riccati]	✓	✓	✓	✓	1.258

7490	\begin{align} \left (y-4 x -1\right )^{2}-y^{\prime }&=0 \\ \end{align}	[[_homogeneous, ‘class C‘], _Riccati]	✓	✓	✓	✓	7.717

7506	\begin{align} y^{\prime }&=\left (x +y+2\right )^{2} \\ \end{align}	[[_homogeneous, ‘class C‘], _Riccati]	✓	✓	✓	✓	4.077

7541	\begin{align} y^{\prime }&=\left (2 x +y-1\right )^{2} \\ \end{align}	[[_homogeneous, ‘class C‘], _Riccati]	✓	✓	✓	✓	4.912

8689	\begin{align} y^{\prime }&=\left (x +y+1\right )^{2} \\ \end{align}	[[_homogeneous, ‘class C‘], _Riccati]	✓	✓	✓	✓	3.864

10318	\begin{align} y^{\prime }&=\sqrt {1+6 x +y} \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	2.865

10319	\begin{align} y^{\prime }&=\left (1+6 x +y\right )^{{1}/{3}} \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	1.687

10320	\begin{align} y^{\prime }&=\left (1+6 x +y\right )^{{1}/{4}} \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	2.257

10321	\begin{align} y^{\prime }&=\left (a +b x +y\right )^{4} \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✗	0.762

10322	\begin{align} y^{\prime }&=\left (\pi +x +7 y\right )^{{7}/{2}} \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✗	15.158

10323	\begin{align} y^{\prime }&=\left (a +b x +c y\right )^{6} \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✗	7.083

10418	\begin{align} y^{\prime }&=\left (x +y\right )^{4} \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	0.805

11321	\begin{align} y^{\prime }-\left (x +y\right )^{2}&=0 \\ \end{align}	[[_homogeneous, ‘class C‘], _Riccati]	✓	✓	✓	✓	1.996

14012	\begin{align} \left (x +y\right ) y^{\prime }-1&=0 \\ \end{align}	[[_homogeneous, ‘class C‘], [_Abel, ‘2nd type‘, ‘class C‘], _dAlembert]	✓	✓	✓	✓	3.100

14226	\begin{align} x^{\prime }&=\left (4 t -x\right )^{2} \\ x \left (0\right ) &= 1 \\ \end{align}	[[_homogeneous, ‘class C‘], _Riccati]	✓	✓	✓	✓	4.206

14264	\begin{align} x^{\prime }&=\left (t +x\right )^{2} \\ \end{align}	[[_homogeneous, ‘class C‘], _Riccati]	✓	✓	✓	✓	1.063

16285	\begin{align} y^{\prime }&=\frac {1}{\left (3 x +3 y+2\right )^{2}} \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	5.794

16335	\begin{align} y^{\prime }&=\sqrt {x +y} \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	1.924

16358	\begin{align} 1-\left (x +2 y\right ) y^{\prime }&=0 \\ \end{align}	[[_homogeneous, ‘class C‘], [_Abel, ‘2nd type‘, ‘class C‘], _dAlembert]	✓	✓	✓	✓	1.647

17130	\begin{align} y^{\prime }&=\left (x +y-4\right )^{2} \\ \end{align}	[[_homogeneous, ‘class C‘], _Riccati]	✓	✓	✓	✓	3.576

19285	\begin{align} y^{\prime }&=\left (x +y\right )^{2} \\ \end{align}	[[_homogeneous, ‘class C‘], _Riccati]	✓	✓	✓	✓	2.930

19735	\begin{align} y^{\prime }&=\left (x +y\right )^{2} \\ \end{align}	[[_homogeneous, ‘class C‘], _Riccati]	✓	✓	✓	✓	4.274

20300	\begin{align} y^{\prime }&=\left (4 x +y+1\right )^{2} \\ \end{align}	[[_homogeneous, ‘class C‘], _Riccati]	✓	✓	✓	✓	5.140

22394	\begin{align} y^{\prime }&=\left (x +y\right )^{2} \\ \end{align}	[[_homogeneous, ‘class C‘], _Riccati]	✓	✓	✓	✓	1.276

22395	\begin{align} y^{\prime }&=\sqrt {2 x +3 y} \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	3.002

22534	\begin{align} \left (x +y\right ) y^{\prime }&=1 \\ \end{align}	[[_homogeneous, ‘class C‘], [_Abel, ‘2nd type‘, ‘class C‘], _dAlembert]	✓	✓	✓	✓	1.362

22564	\begin{align} s^{\prime }&=\frac {1}{s+t +1} \\ \end{align}	[[_homogeneous, ‘class C‘], [_Abel, ‘2nd type‘, ‘class C‘], _dAlembert]	✓	✓	✓	✓	1.109

24318	\begin{align} y^{\prime }&=\left (9 x +4 y+1\right )^{2} \\ \end{align}	[[_homogeneous, ‘class C‘], _Riccati]	✓	✓	✓	✓	32.637

25022	\begin{align} y^{\prime }&=\frac {1}{\left (t +y\right )^{2}} \\ \end{align}	[[_homogeneous, ‘class C‘], _dAlembert]	✓	✓	✓	✓	4.545

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