| # |
ODE |
CAS classification |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| \begin{align*}
x \left (2-9 x y^{2}\right )+y \left (4 y^{2}-6 x^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
[_exact, _rational] |
✓ |
✓ |
✓ |
✗ |
2.178 |
|
| \begin{align*}
{\mathrm e}^{-y}-\left (2 y+x \,{\mathrm e}^{-y}\right ) y^{\prime }&=0 \\
\end{align*} |
[[_1st_order, _with_exponential_symmetries], _exact] |
✓ |
✓ |
✓ |
✓ |
2.014 |
|
| \begin{align*}
\frac {y}{x}+\left (y^{3}+\ln \left (x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
[_exact, [_1st_order, ‘_with_symmetry_[F(x),G(y)]‘]] |
✓ |
✓ |
✓ |
✓ |
1.549 |
|
| \begin{align*}
\frac {3 x^{2}+y^{2}}{y^{2}}-\frac {\left (2 x^{3}+5 y\right ) y^{\prime }}{y^{3}}&=0 \\
\end{align*} |
[_exact, _rational, [_Abel, ‘2nd type‘, ‘class C‘]] |
✓ |
✓ |
✓ |
✗ |
2.658 |
|
| \begin{align*}
2 x \left (1+\sqrt {x^{2}-y}\right )-\sqrt {x^{2}-y}\, y^{\prime }&=0 \\
\end{align*} |
[_exact, [_1st_order, ‘_with_symmetry_[F(x),G(y)]‘]] |
✓ |
✓ |
✓ |
✓ |
3.167 |
|
| \begin{align*}
1+y^{2} \sin \left (2 x \right )-2 y \cos \left (x \right )^{2} y^{\prime }&=0 \\
\end{align*} |
[_exact, _Bernoulli] |
✓ |
✓ |
✓ |
✓ |
6.323 |
|
| \begin{align*}
3 x^{2} \left (1+\ln \left (y\right )\right )&=\left (2 y-\frac {x^{3}}{y}\right ) y^{\prime } \\
\end{align*} |
[_exact, [_1st_order, ‘_with_symmetry_[F(x)*G(y),0]‘]] |
✓ |
✓ |
✓ |
✓ |
2.389 |
|
| \begin{align*}
\frac {x}{\sin \left (y\right )}+2+\frac {\left (x^{2}+1\right ) \cos \left (y\right ) y^{\prime }}{-1+\cos \left (2 y\right )}&=0 \\
\end{align*} |
[_exact] |
✓ |
✓ |
✓ |
✓ |
4.710 |
|
| \begin{align*}
x^{2}+y^{2}+x +y y^{\prime }&=0 \\
\end{align*} |
[[_homogeneous, ‘class D‘], _rational, _Bernoulli] |
✓ |
✓ |
✓ |
✓ |
1.930 |
|
| \begin{align*}
x^{2}+y+y^{2}-x y^{\prime }&=0 \\
\end{align*} |
[[_homogeneous, ‘class D‘], _rational, _Riccati] |
✓ |
✓ |
✓ |
✓ |
1.342 |
|
| \begin{align*}
x&=\left (x y^{\prime }+y\right ) \sqrt {x^{2}+1} \\
\end{align*} |
[_linear] |
✓ |
✓ |
✓ |
✓ |
2.177 |
|
| \begin{align*}
x y^{2} \left (x y^{\prime }+y\right )&=1 \\
\end{align*} |
[[_homogeneous, ‘class G‘], _rational, _Bernoulli] |
✓ |
✓ |
✓ |
✓ |
2.663 |
|
| \begin{align*}
y^{2}-\left (y x +x^{3}\right ) y^{\prime }&=0 \\
\end{align*} |
[[_homogeneous, ‘class G‘], _rational, [_Abel, ‘2nd type‘, ‘class B‘]] |
✓ |
✓ |
✓ |
✓ |
8.093 |
|
| \begin{align*}
y-\frac {1}{x}+\frac {y^{\prime }}{y}&=0 \\
\end{align*} |
[[_homogeneous, ‘class D‘], _rational, _Bernoulli] |
✓ |
✓ |
✓ |
✓ |
3.025 |
|
| \begin{align*}
\left (x^{3}+3 \ln \left (y\right )\right ) y&=x y^{\prime } \\
\end{align*} |
[[_1st_order, ‘_with_symmetry_[F(x),G(x)*y+H(x)]‘]] |
✗ |
✓ |
✓ |
✓ |
3.602 |
|
| \begin{align*}
y^{2}+\left (y x +\tan \left (y x \right )\right ) y^{\prime }&=0 \\
\end{align*} |
[[_homogeneous, ‘class G‘]] |
✓ |
✓ |
✓ |
✓ |
11.689 |
|
| \begin{align*}
y \left (x +y\right )+\left (y x +1\right ) y^{\prime }&=0 \\
\end{align*} |
[_rational, [_Abel, ‘2nd type‘, ‘class B‘]] |
✓ |
✓ |
✓ |
✗ |
3.326 |
|
| \begin{align*}
y \left (1+y^{2}\right )+x \left (y^{2}-x +1\right ) y^{\prime }&=0 \\
\end{align*} |
[_rational, [_1st_order, ‘_with_symmetry_[F(x)*G(y),0]‘]] |
✓ |
✓ |
✓ |
✓ |
3.188 |
|
| \begin{align*}
x^{2}+2 x +y&=\left (x -3 x^{2} y\right ) y^{\prime } \\
\end{align*} |
[_rational, [_1st_order, ‘_with_symmetry_[F(x),G(x)]‘], [_Abel, ‘2nd type‘, ‘class B‘]] |
✓ |
✓ |
✓ |
✗ |
3.072 |
|
| \begin{align*}
-x y^{\prime }+y&=2 x^{3} \tan \left (\frac {y}{x}\right ) \\
\end{align*} |
[[_homogeneous, ‘class D‘]] |
✓ |
✓ |
✓ |
✗ |
3.680 |
|
| \begin{align*}
y^{2}+\left (-y+{\mathrm e}^{x}\right ) y^{\prime }&=0 \\
\end{align*} |
[[_1st_order, _with_linear_symmetries], [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
✓ |
✓ |
3.191 |
|
| \begin{align*}
y x&=\left (y^{3}+x^{2} y+x^{2}\right ) y^{\prime } \\
\end{align*} |
[_rational, [_1st_order, ‘_with_symmetry_[F(x)*G(y),0]‘]] |
✓ |
✓ |
✓ |
✓ |
2.615 |
|
| \begin{align*}
x^{2} y \left (x y^{\prime }+y\right )&=x y^{\prime }+2 y \\
\end{align*} |
[[_homogeneous, ‘class G‘], _rational, [_Abel, ‘2nd type‘, ‘class B‘]] |
✓ |
✓ |
✓ |
✓ |
12.188 |
|
| \begin{align*}
x^{2}-y^{2}+y+x \left (-1+2 y\right ) y^{\prime }&=0 \\
\end{align*} |
[_rational, [_Abel, ‘2nd type‘, ‘class B‘]] |
✓ |
✓ |
✓ |
✓ |
5.500 |
|
| \begin{align*}
2 x^{2} y^{2}+y+\left (x^{3} y-x \right ) y^{\prime }&=0 \\
\end{align*} |
[[_homogeneous, ‘class G‘], _rational, [_Abel, ‘2nd type‘, ‘class B‘]] |
✓ |
✓ |
✓ |
✓ |
13.585 |
|
| \begin{align*}
\left (2 x^{2} y^{3}-1\right ) y+\left (4 x^{2} y^{3}-1\right ) x y^{\prime }&=0 \\
\end{align*} |
[[_homogeneous, ‘class G‘], _rational] |
✓ |
✓ |
✓ |
✗ |
6.493 |
|
| \begin{align*}
y \left (x +y^{2}\right )+x^{2} \left (-1+y\right ) y^{\prime }&=0 \\
\end{align*} |
[_rational, [_Abel, ‘2nd type‘, ‘class C‘]] |
✗ |
✓ |
✓ |
✗ |
18.607 |
|
| \begin{align*}
x^{2}-\sin \left (y\right )^{2}+x \sin \left (2 y\right ) y^{\prime }&=0 \\
\end{align*} |
[‘y=_G(x,y’)‘] |
✓ |
✓ |
✓ |
✓ |
3.978 |
|
| \begin{align*}
x \left (\ln \left (y\right )+2 \ln \left (x \right )-1\right ) y^{\prime }&=2 y \\
\end{align*} |
[[_homogeneous, ‘class G‘]] |
✓ |
✓ |
✓ |
✓ |
5.312 |
|
| \begin{align*}
\left (x^{2}+1\right ) \left (2 x +\cos \left (y\right ) y^{\prime }\right )&=2 \sin \left (y\right ) x \\
\end{align*} |
[‘y=_G(x,y’)‘] |
✓ |
✓ |
✓ |
✓ |
4.105 |
|
| \begin{align*}
2 x^{3} y^{2}-y+\left (2 x^{2} y^{3}-x \right ) y^{\prime }&=0 \\
\end{align*} |
[_rational] |
✓ |
✓ |
✓ |
✗ |
2.172 |
|
| \begin{align*}
x^{2} y^{3}+y+\left (x^{3} y^{2}-x \right ) y^{\prime }&=0 \\
\end{align*} |
[[_homogeneous, ‘class G‘], _rational] |
✓ |
✓ |
✓ |
✓ |
4.395 |
|
| \begin{align*}
x^{2}-y+x \left (y+1\right ) y^{\prime }&=0 \\
\end{align*} |
[_rational, [_Abel, ‘2nd type‘, ‘class B‘]] |
✗ |
✓ |
✗ |
✗ |
6.477 |
|
| \begin{align*}
y^{2} \left (y-2 x y^{\prime }\right )&=x^{3} \left (x y^{\prime }-2 y\right ) \\
\end{align*} |
[[_homogeneous, ‘class G‘], _rational] |
✓ |
✓ |
✓ |
✗ |
19.677 |
|
| \begin{align*}
y^{\prime }&=x -y^{2} \\
\end{align*} |
[[_Riccati, _special]] |
✓ |
✓ |
✓ |
✗ |
3.043 |
|
| \begin{align*}
y^{\prime }&=y^{2}-3 x^{2}-1 \\
y \left (0\right ) &= 1 \\
\end{align*} |
|
✗ |
✗ |
✓ |
✗ |
80.907 |
|
| \begin{align*}
y^{\prime }&=y+{\mathrm e}^{y} \\
y \left (0\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✗ |
✓ |
2.105 |
|
| \begin{align*}
y^{\prime }&=y^{2}+2 y x \\
\end{align*} |
[_Bernoulli] |
✓ |
✓ |
✓ |
✓ |
1.627 |
|
| \begin{align*}
y^{\prime }&=3 y^{{2}/{3}} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
2.227 |
|
| \begin{align*}
y^{\prime }&=3 y^{{2}/{3}}+1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
2.467 |
|
| \begin{align*}
y^{\prime }&=\ln \left (y\right ) y \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.933 |
|
| \begin{align*}
y^{\prime }&=y \ln \left (y\right )^{2} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.014 |
|
| \begin{align*}
y^{\prime }&=\frac {y+2}{x +y} \\
\end{align*} |
[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
✓ |
✓ |
12.061 |
|
| \begin{align*}
y^{\prime }&=\frac {x +2 y-4}{x -y-1} \\
\end{align*} |
[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
✓ |
✓ |
19.704 |
|
| \begin{align*}
y^{\prime }&=\tan \left (y\right )+1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.683 |
|
| \begin{align*}
y^{\prime }&=\sqrt {\sin \left (y\right )} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
3.123 |
|
| \begin{align*}
y^{\prime }&=2+\left (y-2 x \right )^{{1}/{3}} \\
\end{align*} |
[[_homogeneous, ‘class C‘], _dAlembert] |
✓ |
✓ |
✓ |
✓ |
1.805 |
|
| \begin{align*}
y^{\prime }&=\sqrt {x +2 y}-x \\
\end{align*} |
[[_1st_order, _with_linear_symmetries]] |
✓ |
✓ |
✓ |
✗ |
58.089 |
|
| \begin{align*}
x y^{\prime }&=y+\sqrt {y^{2}-x^{2}} \\
\end{align*} |
[[_homogeneous, ‘class A‘], _rational, _dAlembert] |
✓ |
✓ |
✓ |
✓ |
9.701 |
|
| \begin{align*}
{y^{\prime }}^{2}-y^{2}&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.521 |
|
| \begin{align*}
8 {y^{\prime }}^{3}&=27 y \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.759 |
|
| \begin{align*}
\left (y^{\prime }+1\right )^{3}&=27 \left (x +y\right )^{2} \\
\end{align*} |
[[_homogeneous, ‘class C‘], _dAlembert] |
✓ |
✓ |
✗ |
✓ |
1.250 |
|
| \begin{align*}
y^{2} \left (1+{y^{\prime }}^{2}\right )&=1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.625 |
|
| \begin{align*}
{y^{\prime }}^{2}-4 y^{3}&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
3.553 |
|
| \begin{align*}
{y^{\prime }}^{2}&=4 y^{3} \left (1-y\right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
6.802 |
|
| \begin{align*}
{y^{\prime }}^{2} x&=y \\
\end{align*} |
[[_homogeneous, ‘class A‘], _rational, _dAlembert] |
✓ |
✓ |
✓ |
✓ |
1.947 |
|
| \begin{align*}
y {y^{\prime }}^{3}+x&=1 \\
\end{align*} |
[[_homogeneous, ‘class C‘], _rational, _dAlembert] |
✓ |
✓ |
✓ |
✓ |
1.551 |
|
| \begin{align*}
{y^{\prime }}^{3}+y^{2}&=y y^{\prime } \left (y^{\prime }+1\right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.444 |
|
| \begin{align*}
4-4 y&=\left (3 y-2\right )^{2} {y^{\prime }}^{2} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.826 |
|
| \begin{align*}
{y^{\prime }}^{2}+y x&=x y^{\prime }+y^{2} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.508 |
|
| \begin{align*}
x y^{\prime } \left (x y^{\prime }+y\right )&=2 y^{2} \\
\end{align*} |
[_separable] |
✓ |
✓ |
✓ |
✓ |
0.509 |
|
| \begin{align*}
{y^{\prime }}^{2} x -2 y y^{\prime }+x&=0 \\
\end{align*} |
[[_homogeneous, ‘class A‘], _rational, _dAlembert] |
✓ |
✓ |
✓ |
✓ |
1.524 |
|
| \begin{align*}
{y^{\prime }}^{2} x&=y \left (2 y^{\prime }-1\right ) \\
\end{align*} |
[[_homogeneous, ‘class A‘], _rational, _dAlembert] |
✓ |
✓ |
✓ |
✓ |
1.652 |
|
| \begin{align*}
{y^{\prime }}^{2}+x&=2 y \\
\end{align*} |
[[_homogeneous, ‘class C‘], _dAlembert] |
✓ |
✓ |
✓ |
✓ |
0.907 |
|
| \begin{align*}
{y^{\prime }}^{3}+\left (x +2\right ) {\mathrm e}^{y}&=0 \\
\end{align*} |
[[_1st_order, _with_exponential_symmetries]] |
✓ |
✓ |
✓ |
✗ |
229.930 |
|
| \begin{align*}
{y^{\prime }}^{2}-2 x y^{\prime }&=8 x^{2} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.450 |
|
| \begin{align*}
\left (x y^{\prime }+3 y\right )^{2}&=7 x \\
\end{align*} |
[_linear] |
✓ |
✓ |
✓ |
✓ |
1.041 |
|
| \begin{align*}
{y^{\prime }}^{2}-2 y y^{\prime }&=y^{2} \left ({\mathrm e}^{x}-1\right ) \\
\end{align*} |
[_separable] |
✓ |
✓ |
✓ |
✓ |
4.320 |
|
| \begin{align*}
y^{\prime } \left (2 y-y^{\prime }\right )&=y^{2} \sin \left (x \right )^{2} \\
\end{align*} |
[_separable] |
✓ |
✓ |
✓ |
✓ |
1.122 |
|
| \begin{align*}
{y^{\prime }}^{4}+y^{2}&=y^{4} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.043 |
|
| \begin{align*}
x \left (-x y^{\prime }+y\right )^{2}&={y^{\prime }}^{2} x -2 y y^{\prime } \\
\end{align*} |
[_separable] |
✓ |
✓ |
✓ |
✓ |
1.017 |
|
| \begin{align*}
y \left (x y^{\prime }-y\right )^{2}&=y-2 x y^{\prime } \\
\end{align*} |
[_separable] |
✓ |
✓ |
✓ |
✗ |
0.799 |
|
| \begin{align*}
y y^{\prime } \left (y y^{\prime }-2 x \right )&=x^{2}-2 y^{2} \\
\end{align*} |
[[_homogeneous, ‘class A‘], _rational, _dAlembert] |
✓ |
✓ |
✓ |
✗ |
2.508 |
|
| \begin{align*}
{y^{\prime }}^{2}+4 x y^{\prime }-y^{2}-2 x^{2} y&=x^{4}-4 x^{2} \\
\end{align*} |
[[_linear, ‘class A‘]] |
✓ |
✓ |
✓ |
✓ |
0.681 |
|
| \begin{align*}
y \left (y-2 x y^{\prime }\right )^{2}&=2 y^{\prime } \\
\end{align*} |
[[_homogeneous, ‘class G‘], _rational] |
✓ |
✓ |
✓ |
✓ |
1.429 |
|
| \begin{align*}
x&={y^{\prime }}^{3}+y^{\prime } \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.771 |
|
| \begin{align*}
x \left (-1+{y^{\prime }}^{2}\right )&=2 y^{\prime } \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.667 |
|
| \begin{align*}
x&=y^{\prime } \sqrt {1+{y^{\prime }}^{2}} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1072.464 |
|
| \begin{align*}
y^{\prime } \left (x -\ln \left (y^{\prime }\right )\right )&=1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.217 |
|
| \begin{align*}
y&={y^{\prime }}^{2}+2 {y^{\prime }}^{3} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✗ |
✓ |
0.913 |
|
| \begin{align*}
y&=\ln \left (1+{y^{\prime }}^{2}\right ) \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✗ |
1.664 |
|
| \begin{align*}
\left (y^{\prime }+1\right )^{3}&=\left (y^{\prime }-y\right )^{2} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✗ |
10.766 |
|
| \begin{align*}
y&=\left (y^{\prime }-1\right ) {\mathrm e}^{y^{\prime }} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.145 |
|
| \begin{align*}
{y^{\prime }}^{4}-{y^{\prime }}^{2}&=y^{2} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
597.000 |
|
| \begin{align*}
{y^{\prime }}^{2}-{y^{\prime }}^{3}&=y^{2} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.944 |
|
| \begin{align*}
{y^{\prime }}^{4}&=2 y y^{\prime }+y^{2} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
562.776 |
|
| \begin{align*}
{y^{\prime }}^{2}-2 x y^{\prime }&=x^{2}-4 y \\
\end{align*} |
[[_homogeneous, ‘class G‘]] |
✓ |
✓ |
✗ |
✓ |
10.316 |
|
| \begin{align*}
5 y+{y^{\prime }}^{2}&=x \left (x +y^{\prime }\right ) \\
\end{align*} |
[[_homogeneous, ‘class G‘]] |
✓ |
✓ |
✗ |
✓ |
6.070 |
|
| \begin{align*}
{y^{\prime }}^{2} x^{2}&=x y y^{\prime }+1 \\
\end{align*} |
[_separable] |
✓ |
✓ |
✓ |
✓ |
3.059 |
|
| \begin{align*}
{y^{\prime }}^{3}+y^{2}&=x y y^{\prime } \\
\end{align*} |
[[_1st_order, _with_linear_symmetries]] |
✓ |
✓ |
✗ |
✗ |
238.708 |
|
| \begin{align*}
2 x y^{\prime }-y&=y^{\prime } \ln \left (y y^{\prime }\right ) \\
\end{align*} |
[[_1st_order, _with_linear_symmetries]] |
✓ |
✓ |
✓ |
✗ |
31.902 |
|
| \begin{align*}
y^{\prime }&={\mathrm e}^{\frac {x y^{\prime }}{y}} \\
\end{align*} |
[[_homogeneous, ‘class A‘], _dAlembert] |
✓ |
✓ |
✓ |
✗ |
20.619 |
|
| \begin{align*}
y&=x y^{\prime }-x^{2} {y^{\prime }}^{3} \\
\end{align*} |
[[_1st_order, _with_linear_symmetries]] |
✓ |
✓ |
✗ |
✗ |
13.987 |
|
| \begin{align*}
y&=2 x y^{\prime }+y^{2} {y^{\prime }}^{3} \\
\end{align*} |
[[_1st_order, _with_linear_symmetries]] |
✓ |
✓ |
✓ |
✗ |
1.013 |
|
| \begin{align*}
y \left (y-2 x y^{\prime }\right )^{3}&={y^{\prime }}^{2} \\
\end{align*} |
[[_homogeneous, ‘class G‘]] |
✓ |
✓ |
✗ |
✗ |
3.653 |
|
| \begin{align*}
y&=x y^{\prime }-{y^{\prime }}^{2} \\
\end{align*} |
[[_1st_order, _with_linear_symmetries], _Clairaut] |
✓ |
✓ |
✓ |
✓ |
0.566 |
|
| \begin{align*}
x y^{\prime }+y&=4 \sqrt {y^{\prime }} \\
\end{align*} |
[[_homogeneous, ‘class G‘], _dAlembert] |
✓ |
✓ |
✓ |
✓ |
182.532 |
|
| \begin{align*}
y&=3 x y^{\prime }-7 {y^{\prime }}^{3} \\
\end{align*} |
[[_1st_order, _with_linear_symmetries], _dAlembert] |
✓ |
✓ |
✗ |
✗ |
9.090 |
|
| \begin{align*}
y&=x y^{\prime }-y^{\prime }-2 \\
\end{align*} |
[_separable] |
✓ |
✓ |
✓ |
✓ |
3.902 |
|
| \begin{align*}
\left (1+{y^{\prime }}^{2}\right ) x&=2 y y^{\prime } \\
\end{align*} |
[[_homogeneous, ‘class A‘], _rational, _dAlembert] |
✓ |
✓ |
✓ |
✓ |
3.136 |
|