|
# |
ODE |
Program classification |
CAS classification |
Solved? |
Verified? |
time (sec) |
|
\[ {}y^{\prime }+\frac {2 x y}{x^{2}+1} = \frac {{\mathrm e}^{-x^{2}}}{x^{2}+1} \] |
exact, linear, first_order_ode_lie_symmetry_lookup |
[_linear] |
✓ |
✓ |
1.169 |
|
|
\[ {}y^{\prime }+\frac {y}{x} = \frac {7}{x^{2}}+3 \] |
linear, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[_linear] |
✓ |
✓ |
0.966 |
|
|
\[ {}y^{\prime }+\frac {4 y}{-1+x} = \frac {1}{\left (-1+x \right )^{5}}+\frac {\sin \left (x \right )}{\left (-1+x \right )^{4}} \] |
linear, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[_linear] |
✓ |
✓ |
4.908 |
|
|
\[ {}x y^{\prime }+\left (2 x^{2}+1\right ) y = x^{3} {\mathrm e}^{-x^{2}} \] |
linear, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[_linear] |
✓ |
✓ |
1.223 |
|
|
\[ {}x y^{\prime }+2 y = \frac {2}{x^{2}}+1 \] |
linear, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[_linear] |
✓ |
✓ |
0.929 |
|
|
\[ {}y^{\prime }+y \tan \left (x \right ) = \cos \left (x \right ) \] |
linear, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[_linear] |
✓ |
✓ |
0.975 |
|
|
\[ {}2 y+\left (1+x \right ) y^{\prime } = \frac {\sin \left (x \right )}{1+x} \] |
exact, linear, first_order_ode_lie_symmetry_lookup |
[_linear] |
✓ |
✓ |
3.65 |
|
|
\[ {}\left (-2+x \right ) \left (-1+x \right ) y^{\prime }-\left (4 x -3\right ) y = \left (-2+x \right )^{3} \] |
linear, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[_linear] |
✓ |
✓ |
1.288 |
|
|
\[ {}y^{\prime }+2 \sin \left (x \right ) \cos \left (x \right ) y = {\mathrm e}^{-\sin \left (x \right )^{2}} \] |
linear, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[_linear] |
✓ |
✓ |
2.408 |
|
|
\[ {}x^{2} y^{\prime }+3 x y = {\mathrm e}^{x} \] |
linear, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[_linear] |
✓ |
✓ |
1.018 |
|
|
\[ {}y^{\prime }+7 y = {\mathrm e}^{3 x} \] |
linear, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[[_linear, ‘class A‘]] |
✓ |
✓ |
1.433 |
|
|
\[ {}\left (x^{2}+1\right ) y^{\prime }+4 x y = \frac {2}{x^{2}+1} \] |
exact, linear, differentialType, first_order_ode_lie_symmetry_lookup |
[_linear] |
✓ |
✓ |
1.988 |
|
|
\[ {}x y^{\prime }+3 y = \frac {2}{x \left (x^{2}+1\right )} \] |
linear, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[_linear] |
✓ |
✓ |
1.601 |
|
|
\[ {}y^{\prime }+\cot \left (x \right ) y = \cos \left (x \right ) \] |
linear, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[_linear] |
✓ |
✓ |
2.142 |
|
|
\[ {}y^{\prime }+\frac {y}{x} = \frac {2}{x^{2}}+1 \] |
linear, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[_linear] |
✓ |
✓ |
1.257 |
|
|
\[ {}\left (-1+x \right ) y^{\prime }+3 y = \frac {1}{\left (-1+x \right )^{3}}+\frac {\sin \left (x \right )}{\left (-1+x \right )^{2}} \] |
linear, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[_linear] |
✓ |
✓ |
4.447 |
|
|
\[ {}x y^{\prime }+2 y = 8 x^{2} \] |
linear, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[_linear] |
✓ |
✓ |
1.312 |
|
|
\[ {}x y^{\prime }-2 y = -x^{2} \] |
linear, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[_linear] |
✓ |
✓ |
1.421 |
|
|
\[ {}y^{\prime }+2 x y = x \] |
exact, linear, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
1.916 |
|
|
\[ {}\left (-1+x \right ) y^{\prime }+3 y = \frac {1+\left (-1+x \right ) \sec \left (x \right )^{2}}{\left (-1+x \right )^{3}} \] |
linear, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[_linear] |
✓ |
✓ |
16.268 |
|
|
\[ {}\left (2+x \right ) y^{\prime }+4 y = \frac {2 x^{2}+1}{x \left (2+x \right )^{3}} \] |
linear, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[_linear] |
✓ |
✓ |
1.597 |
|
|
\[ {}\left (x^{2}-1\right ) y^{\prime }-2 x y = x \left (x^{2}-1\right ) \] |
linear, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[_linear] |
✓ |
✓ |
1.576 |
|
|
\[ {}x y^{\prime }-2 y = -1 \] |
exact, linear, separable, homogeneousTypeMapleC, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
2.029 |
|
|
\[ {}\sec \left (y\right )^{2} y^{\prime }-3 \tan \left (y\right ) = -1 \] |
quadrature |
[_quadrature] |
✓ |
✓ |
1.128 |
|
|
\[ {}{\mathrm e}^{y^{2}} \left (2 y y^{\prime }+\frac {2}{x}\right ) = \frac {1}{x^{2}} \] |
exact |
[[_1st_order, ‘_with_symmetry_[F(x),G(y)]‘]] |
✓ |
✓ |
2.338 |
|
|
\[ {}\frac {x y^{\prime }}{y}+2 \ln \left (y\right ) = 4 x^{2} \] |
exactWithIntegrationFactor, first_order_ode_lie_symmetry_calculated |
[[_1st_order, ‘_with_symmetry_[F(x),G(x)*y+H(x)]‘]] |
✓ |
✓ |
4.343 |
|
|
\[ {}\frac {y^{\prime }}{\left (y+1\right )^{2}}-\frac {1}{x \left (y+1\right )} = -\frac {3}{x^{2}} \] |
riccati, homogeneousTypeMapleC, exactWithIntegrationFactor, first_order_ode_lie_symmetry_calculated |
[[_homogeneous, ‘class C‘], _rational, _Riccati] |
✓ |
✓ |
2.29 |
|
|
\[ {}y^{\prime } = \frac {3 x^{2}+2 x +1}{-2+y} \] |
exact, separable, differentialType, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
1.806 |
|
|
\[ {}\sin \left (x \right ) \sin \left (y\right )+\cos \left (y\right ) y^{\prime } = 0 \] |
exact, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
3.586 |
|
|
\[ {}x y^{\prime }+y^{2}+y = 0 \] |
exact, riccati, bernoulli, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
1.447 |
|
|
\[ {}\left (3 y^{3}+3 y \cos \left (y\right )+1\right ) y^{\prime }+\frac {\left (2 x +1\right ) y}{x^{2}+1} = 0 \] |
exact, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
8.067 |
|
|
\[ {}x^{2} y y^{\prime } = \left (y^{2}-1\right )^{\frac {3}{2}} \] |
exact, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
1.878 |
|
|
\[ {}y^{\prime } = x^{2} \left (1+y^{2}\right ) \] |
exact, riccati, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
0.918 |
|
|
\[ {}\left (x^{2}+1\right ) y^{\prime }+x y = 0 \] |
exact, linear, separable, homogeneousTypeD2, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
1.148 |
|
|
\[ {}y^{\prime } = \left (-1+x \right ) \left (y-1\right ) \left (-2+y\right ) \] |
exact, riccati, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
1.982 |
|
|
\[ {}\left (y-1\right )^{2} y^{\prime } = 2 x +3 \] |
exact, separable, differentialType, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
21.325 |
|
|
\[ {}y^{\prime } = \frac {x^{2}+3 x +2}{-2+y} \] |
exact, separable, differentialType, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
3.9 |
|
|
\[ {}y^{\prime }+x \left (y^{2}+y\right ) = 0 \] |
exact, riccati, bernoulli, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
2.972 |
|
|
\[ {}\left (3 y^{2}+4 y\right ) y^{\prime }+2 x +\cos \left (x \right ) = 0 \] |
exact, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
5.135 |
|
|
\[ {}y^{\prime }+\frac {\left (y+1\right ) \left (y-1\right ) \left (-2+y\right )}{1+x} = 0 \] |
exact, abelFirstKind, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
37.897 |
|
|
\[ {}y^{\prime }+2 x \left (y+1\right ) = 0 \] |
exact, linear, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
1.951 |
|
|
\[ {}y^{\prime } = 2 x y \left (1+y^{2}\right ) \] |
exact, bernoulli, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
10.752 |
|
|
\[ {}y^{\prime } \left (x^{2}+2\right ) = 4 x \left (y^{2}+2 y+1\right ) \] |
exact, riccati, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
1.424 |
|
|
\[ {}y^{\prime } = -2 x \left (y^{3}-3 y+2\right ) \] |
exact, abelFirstKind, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
3.414 |
|
|
\[ {}y^{\prime } = \frac {2 x}{2 y+1} \] |
exact, separable, differentialType, homogeneousTypeMapleC, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
4.329 |
|
|
\[ {}y^{\prime } = 2 y-y^{2} \] |
quadrature |
[_quadrature] |
✓ |
✓ |
1.058 |
|
|
\[ {}x +y y^{\prime } = 0 \] |
exact, separable, differentialType, homogeneousTypeD2, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
4.77 |
|
|
\[ {}y^{\prime }+x^{2} \left (y+1\right ) \left (-2+y\right )^{2} = 0 \] |
exact, abelFirstKind, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
3.463 |
|
|
\[ {}\left (1+x \right ) \left (-2+x \right ) y^{\prime }+y = 0 \] |
exact, linear, separable, homogeneousTypeD2, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
2.488 |
|
|
\[ {}y^{\prime } = \frac {1+y^{2}}{x^{2}+1} \] |
exact, riccati, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
1.064 |
|
|
\[ {}y^{\prime } \sqrt {-x^{2}+1}+\sqrt {1-y^{2}} = 0 \] |
exact, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
1.605 |
|
|
\[ {}y^{\prime } = \frac {\cos \left (x \right )}{\sin \left (y\right )} \] |
exact, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
2.337 |
|
|
\[ {}y^{\prime } = a y-b y^{2} \] |
quadrature |
[_quadrature] |
✓ |
✓ |
1.664 |
|
|
\[ {}y+y^{\prime } = \frac {2 x \,{\mathrm e}^{-x}}{1+{\mathrm e}^{x} y} \] |
exactWithIntegrationFactor |
[[_Abel, ‘2nd type‘, ‘class B‘]] |
✓ |
✓ |
2.789 |
|
|
\[ {}x y^{\prime }-2 y = \frac {x^{6}}{y+x^{2}} \] |
exactWithIntegrationFactor, first_order_ode_lie_symmetry_calculated |
[_rational, [_Abel, ‘2nd type‘, ‘class B‘]] |
✓ |
✓ |
8.738 |
|
|
\[ {}y^{\prime }-y = \frac {\left (1+x \right ) {\mathrm e}^{4 x}}{\left (y+{\mathrm e}^{x}\right )^{2}} \] |
exactWithIntegrationFactor |
[[_1st_order, ‘_with_symmetry_[F(x),G(x)*y+H(x)]‘]] |
✓ |
✓ |
3.855 |
|
|
\[ {}y^{\prime }-2 y = \frac {x \,{\mathrm e}^{2 x}}{1-y \,{\mathrm e}^{-2 x}} \] |
exactWithIntegrationFactor |
[[_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
2.913 |
|
|
\[ {}y^{\prime } = \frac {x^{2}+y^{2}}{\sin \left (x \right )} \] |
riccati |
[_Riccati] |
✓ |
✓ |
10.874 |
|
|
\[ {}y^{\prime } = \frac {y+{\mathrm e}^{x}}{x^{2}+y^{2}} \] |
unknown |
[‘y=_G(x,y’)‘] |
❇ |
N/A |
1.785 |
|
|
\[ {}y^{\prime } = \tan \left (x y\right ) \] |
unknown |
[‘y=_G(x,y’)‘] |
✗ |
N/A |
1.138 |
|
|
\[ {}y^{\prime } = \frac {x^{2}+y^{2}}{\ln \left (x y\right )} \] |
unknown |
[‘y=_G(x,y’)‘] |
❇ |
N/A |
1.182 |
|
|
\[ {}y^{\prime } = \left (x^{2}+y^{2}\right ) y^{\frac {1}{3}} \] |
unknown |
[‘y=_G(x,y’)‘] |
❇ |
N/A |
0.733 |
|
|
\[ {}y^{\prime } = 2 x y \] |
exact, linear, separable, homogeneousTypeD2, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
1.059 |
|
|
\[ {}y^{\prime } = \ln \left (1+x^{2}+y^{2}\right ) \] |
unknown |
[‘y=_G(x,y’)‘] |
❇ |
N/A |
0.883 |
|
|
\[ {}y^{\prime } = \frac {2 x +3 y}{x -4 y} \] |
homogeneousTypeD2, first_order_ode_lie_symmetry_calculated |
[[_homogeneous, ‘class A‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
3.502 |
|
|
\[ {}y^{\prime } = \sqrt {x^{2}+y^{2}} \] |
unknown |
[‘y=_G(x,y’)‘] |
❇ |
N/A |
0.715 |
|
|
\[ {}y^{\prime } = x \left (y^{2}-1\right )^{\frac {2}{3}} \] |
exact, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
2.925 |
|
|
\[ {}y^{\prime } = \left (x^{2}+y^{2}\right )^{2} \] |
unknown |
[‘y=_G(x,y’)‘] |
❇ |
N/A |
0.569 |
|
|
\[ {}y^{\prime } = \sqrt {x +y} \] |
homogeneousTypeC, first_order_ode_lie_symmetry_lookup |
[[_homogeneous, ‘class C‘], _dAlembert] |
✓ |
✓ |
3.708 |
|
|
\[ {}y^{\prime } = \frac {\tan \left (y\right )}{-1+x} \] |
exact, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
2.345 |
|
|
\[ {}y^{\prime } = y^{\frac {2}{5}} \] |
quadrature |
[_quadrature] |
✓ |
✓ |
0.974 |
|
|
\[ {}y^{\prime } = 3 x \left (y-1\right )^{\frac {1}{3}} \] |
exact, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
2.097 |
|
|
\[ {}y^{\prime } = 3 x \left (y-1\right )^{\frac {1}{3}} \] |
exact, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
2.101 |
|
|
\[ {}y^{\prime } = 3 x \left (y-1\right )^{\frac {1}{3}} \] |
exact, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
3.917 |
|
|
\[ {}y^{\prime }-y = x y^{2} \] |
riccati, bernoulli, first_order_ode_lie_symmetry_lookup |
[_Bernoulli] |
✓ |
✓ |
0.945 |
|
|
\[ {}y^{\prime } = \frac {y+x \,{\mathrm e}^{-\frac {y}{x}}}{x} \] |
homogeneousTypeD, homogeneousTypeD2, first_order_ode_lie_symmetry_lookup |
[[_homogeneous, ‘class A‘], _dAlembert] |
✓ |
✓ |
1.342 |
|
|
\[ {}x^{2} y^{\prime } = y^{2}+x y-x^{2} \] |
riccati |
[[_homogeneous, ‘class A‘], _rational, _Riccati] |
✓ |
✓ |
0.225 |
|
|
\[ {}x^{2} y^{\prime } = y^{2}+x y-x^{2} \] |
riccati, homogeneousTypeD2, first_order_ode_lie_symmetry_calculated |
[[_homogeneous, ‘class A‘], _rational, _Riccati] |
✓ |
✓ |
3.518 |
|
|
\[ {}y+y^{\prime } = y^{2} \] |
bernoulli |
[_quadrature] |
✓ |
✓ |
0.643 |
|
|
\[ {}7 x y^{\prime }-2 y = -\frac {x^{2}}{y^{6}} \] |
bernoulli |
[[_homogeneous, ‘class G‘], _rational, _Bernoulli] |
✓ |
✓ |
2.708 |
|
|
\[ {}x^{2} y^{\prime }+2 y = 2 \,{\mathrm e}^{\frac {1}{x}} \sqrt {y} \] |
bernoulli |
[_Bernoulli] |
✓ |
✓ |
0.326 |
|
|
\[ {}\left (x^{2}+1\right ) y^{\prime }+2 x y = \frac {1}{\left (x^{2}+1\right ) y} \] |
bernoulli |
[_rational, _Bernoulli] |
✓ |
✓ |
0.718 |
|
|
\[ {}y^{\prime }-x y = x^{3} y^{3} \] |
bernoulli |
[_Bernoulli] |
✓ |
✓ |
0.669 |
|
|
\[ {}y^{\prime }-\frac {\left (1+x \right ) y}{3 x} = y^{4} \] |
bernoulli |
[_rational, _Bernoulli] |
✓ |
✓ |
1.426 |
|
|
\[ {}y^{\prime }-2 y = x y^{3} \] |
bernoulli |
[_Bernoulli] |
✓ |
✓ |
0.796 |
|
|
\[ {}y^{\prime }-x y = x y^{\frac {3}{2}} \] |
exact, bernoulli, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
6.904 |
|
|
\[ {}x y^{\prime }+y = x^{4} y^{4} \] |
bernoulli |
[[_homogeneous, ‘class G‘], _rational, _Bernoulli] |
✓ |
✓ |
0.791 |
|
|
\[ {}y^{\prime }-2 y = 2 \sqrt {y} \] |
bernoulli |
[_quadrature] |
✓ |
✓ |
1.489 |
|
|
\[ {}y^{\prime }-4 y = \frac {48 x}{y^{2}} \] |
bernoulli |
[_rational, _Bernoulli] |
✓ |
✓ |
0.758 |
|
|
\[ {}x^{2} y^{\prime }+2 x y = y^{3} \] |
bernoulli |
[[_homogeneous, ‘class G‘], _rational, _Bernoulli] |
✓ |
✓ |
0.911 |
|
|
\[ {}y^{\prime }-y = x \sqrt {y} \] |
bernoulli |
[_Bernoulli] |
✓ |
✓ |
1.49 |
|
|
\[ {}y^{\prime } = \frac {x +y}{x} \] |
linear, homogeneousTypeD2, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[_linear] |
✓ |
✓ |
1.011 |
|
|
\[ {}y^{\prime } = \frac {y^{2}+2 x y}{x^{2}} \] |
riccati, bernoulli, homogeneousTypeD2, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[[_homogeneous, ‘class A‘], _rational, _Bernoulli] |
✓ |
✓ |
1.347 |
|
|
\[ {}x y^{3} y^{\prime } = y^{4}+x^{4} \] |
bernoulli, homogeneousTypeD2, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[[_homogeneous, ‘class A‘], _rational, _Bernoulli] |
✓ |
✓ |
1.851 |
|
|
\[ {}y^{\prime } = \frac {y}{x}+\sec \left (\frac {y}{x}\right ) \] |
homogeneousTypeD, homogeneousTypeD2, first_order_ode_lie_symmetry_lookup |
[[_homogeneous, ‘class A‘], _dAlembert] |
✓ |
✓ |
2.759 |
|
|
\[ {}x^{2} y^{\prime } = x^{2}+x y+y^{2} \] |
riccati, homogeneousTypeD2, first_order_ode_lie_symmetry_calculated |
[[_homogeneous, ‘class A‘], _rational, _Riccati] |
✓ |
✓ |
1.52 |
|
|
\[ {}x y y^{\prime } = x^{2}+2 y^{2} \] |
bernoulli, homogeneousTypeD2, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[[_homogeneous, ‘class A‘], _rational, _Bernoulli] |
✓ |
✓ |
1.96 |
|
|
\[ {}y^{\prime } = \frac {2 y^{2}+x^{2} {\mathrm e}^{-\frac {y^{2}}{x^{2}}}}{2 x y} \] |
homogeneousTypeD2, first_order_ode_lie_symmetry_calculated |
[[_homogeneous, ‘class A‘]] |
✓ |
✓ |
1.977 |
|
|
\[ {}y^{\prime } = \frac {x y+y^{2}}{x^{2}} \] |
riccati, bernoulli, exactByInspection, homogeneousTypeD2, first_order_ode_lie_symmetry_lookup |
[[_homogeneous, ‘class A‘], _rational, _Bernoulli] |
✓ |
✓ |
1.893 |
|
|
\[ {}y^{\prime } = \frac {x^{3}+y^{3}}{x y^{2}} \] |
bernoulli, homogeneousTypeD2, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[[_homogeneous, ‘class A‘], _rational, _Bernoulli] |
✓ |
✓ |
1.781 |
|
|
|
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