|
# |
ODE |
Program classification |
CAS classification |
Solved? |
Verified? |
time (sec) |
|
\[ {}y^{\prime }+2 y = 2 \] |
first_order_laplace |
[_quadrature] |
✓ |
✓ |
0.278 |
|
|
\[ {}y^{\prime }+2 y = {\mathrm e}^{x} \] |
first_order_laplace |
[[_linear, ‘class A‘]] |
✓ |
✓ |
0.431 |
|
|
\[ {}y^{\prime \prime }-y = 0 \] |
second_order_laplace |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.29 |
|
|
\[ {}y^{\prime \prime }-y = \sin \left (x \right ) \] |
second_order_laplace |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.505 |
|
|
\[ {}y^{\prime \prime }-y = {\mathrm e}^{x} \] |
second_order_laplace |
[[_2nd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.409 |
|
|
\[ {}y^{\prime \prime }+2 y^{\prime }-3 y = \sin \left (2 x \right ) \] |
second_order_laplace |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.608 |
|
|
\[ {}y^{\prime \prime }+y = \sin \left (x \right ) \] |
second_order_laplace |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.548 |
|
|
\[ {}y^{\prime \prime }+y^{\prime }+y = 0 \] |
second_order_laplace |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.583 |
|
|
\[ {}y^{\prime \prime }+2 y^{\prime }+5 y = 3 \,{\mathrm e}^{-2 x} \] |
second_order_laplace |
[[_2nd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.521 |
|
|
\[ {}y^{\prime \prime }+5 y^{\prime }-3 y = \operatorname {Heaviside}\left (x -4\right ) \] |
second_order_laplace |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
1.669 |
|
|
\[ {}y^{\prime \prime \prime }-y = 5 \] |
higher_order_laplace |
[[_3rd_order, _missing_x]] |
✓ |
✓ |
1.527 |
|
|
\[ {}y^{\prime \prime \prime \prime }-y = 0 \] |
higher_order_laplace |
[[_high_order, _missing_x]] |
✓ |
✓ |
0.518 |
|
|
\[ {}y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = x^{2} {\mathrm e}^{x} \] |
higher_order_laplace |
[[_3rd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.309 |
|
|
\[ {}x^{\prime \prime }+4 x^{\prime }+4 x = 0 \] |
second_order_laplace |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.375 |
|
|
\[ {}q^{\prime \prime }+9 q^{\prime }+14 q = \frac {\sin \left (t \right )}{2} \] |
second_order_laplace |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.678 |
|
|
\[ {}\left (1+x \right ) y^{\prime \prime }+\frac {y^{\prime }}{x}+x y = 0 \] |
second order series method. Regular singular point. Repeated root |
[[_2nd_order, _with_linear_symmetries]] |
✓ |
✓ |
1.496 |
|
|
\[ {}x^{3} y^{\prime \prime }+y = 0 \] |
second order series method. Irregular singular point |
[[_Emden, _Fowler]] |
❇ |
N/A |
0.209 |
|
|
\[ {}y^{\prime \prime }+x y = 0 \] |
second order series method. Ordinary point, second order series method. Taylor series method |
[[_Emden, _Fowler]] |
✓ |
✓ |
0.457 |
|
|
\[ {}y^{\prime \prime }-2 x y^{\prime }-2 y = 0 \] |
second order series method. Ordinary point, second order series method. Taylor series method |
[[_2nd_order, _exact, _linear, _homogeneous]] |
✓ |
✓ |
0.516 |
|
|
\[ {}y^{\prime \prime }+x^{2} y^{\prime }+2 x y = 0 \] |
second order series method. Ordinary point, second order series method. Taylor series method |
[[_2nd_order, _exact, _linear, _homogeneous]] |
✓ |
✓ |
0.593 |
|
|
\[ {}y^{\prime \prime }-x^{2} y^{\prime }-y = 0 \] |
second order series method. Ordinary point, second order series method. Taylor series method |
[[_2nd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.794 |
|
|
\[ {}y^{\prime \prime }+2 x^{2} y = 0 \] |
second order series method. Ordinary point, second order series method. Taylor series method |
[[_Emden, _Fowler]] |
✓ |
✓ |
0.48 |
|
|
\[ {}\left (x^{2}-1\right ) y^{\prime \prime }+x y^{\prime }-y = 0 \] |
second order series method. Ordinary point, second order series method. Taylor series method |
[[_2nd_order, _exact, _linear, _homogeneous]] |
✓ |
✓ |
0.582 |
|
|
\[ {}y^{\prime \prime }-x y = 0 \] |
second order series method. Ordinary point, second order series method. Taylor series method |
[[_Emden, _Fowler]] |
✓ |
✓ |
0.427 |
|
|
\[ {}y^{\prime \prime }-2 x y^{\prime }+x^{2} y = 0 \] |
second order series method. Ordinary point, second order series method. Taylor series method |
[[_2nd_order, _with_linear_symmetries]] |
✓ |
✓ |
1.901 |
|
|
\[ {}x y^{\prime } = 2 y \] |
exact, linear, separable, homogeneousTypeD2, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
1.257 |
|
|
\[ {}y y^{\prime }+x = 0 \] |
exact, separable, differentialType, homogeneousTypeD2, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
1.714 |
|
|
\[ {}y = x y^{\prime }+{y^{\prime }}^{4} \] |
clairaut |
[[_1st_order, _with_linear_symmetries], _Clairaut] |
✓ |
✓ |
1.519 |
|
|
\[ {}2 x^{3} y^{\prime } = y \left (y^{2}+3 x^{2}\right ) \] |
bernoulli, homogeneousTypeD2, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[[_homogeneous, ‘class A‘], _rational, _Bernoulli] |
✓ |
✓ |
1.546 |
|
|
\[ {}y^{\prime \prime }-2 y^{\prime }+y = 0 \] |
kovacic, second_order_linear_constant_coeff, linear_second_order_ode_solved_by_an_integrating_factor |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.271 |
|
|
\[ {}\left (-1+x \right ) y^{\prime \prime }-x y^{\prime }+y = 0 \] |
kovacic, second_order_change_of_variable_on_y_method_2, second_order_ode_non_constant_coeff_transformation_on_B |
[[_2nd_order, _with_linear_symmetries]] |
✓ |
✓ |
1.739 |
|
|
\[ {}y^{\prime \prime }-y = 0 \] |
kovacic, second_order_linear_constant_coeff, second_order_ode_can_be_made_integrable |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.613 |
|
|
\[ {}y^{\prime \prime }-y = 4-x \] |
kovacic, second_order_linear_constant_coeff |
[[_2nd_order, _with_linear_symmetries]] |
✓ |
✓ |
0.348 |
|
|
\[ {}y^{\prime \prime }-3 y^{\prime }+2 y = 0 \] |
kovacic, second_order_linear_constant_coeff |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
0.238 |
|
|
\[ {}y^{\prime \prime }-3 y^{\prime }+2 y = 2 \,{\mathrm e}^{x} \left (1-x \right ) \] |
kovacic, second_order_linear_constant_coeff |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
0.421 |
|
|
\[ {}4 y+x y^{\prime } = 0 \] |
exact, linear, separable, homogeneousTypeD2, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
1.306 |
|
|
\[ {}1+2 y+\left (-x^{2}+4\right ) y^{\prime } = 0 \] |
exact, linear, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
3.143 |
|
|
\[ {}y^{2}-x^{2} y^{\prime } = 0 \] |
exact, riccati, separable, homogeneousTypeD2, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
1.185 |
|
|
\[ {}1+y-\left (1+x \right ) y^{\prime } = 0 \] |
exact, linear, separable, homogeneousTypeD2, homogeneousTypeMapleC, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
1.408 |
|
|
\[ {}x y^{2}+y+\left (x^{2} y-x \right ) y^{\prime } = 0 \] |
exactWithIntegrationFactor, first_order_ode_lie_symmetry_calculated |
[[_homogeneous, ‘class G‘], _rational, [_Abel, ‘2nd type‘, ‘class B‘]] |
✓ |
✓ |
1.543 |
|
|
\[ {}x \sin \left (\frac {y}{x}\right )-y \cos \left (\frac {y}{x}\right )+x \cos \left (\frac {y}{x}\right ) y^{\prime } = 0 \] |
homogeneousTypeD2, exactWithIntegrationFactor, first_order_ode_lie_symmetry_calculated |
[[_homogeneous, ‘class A‘], _dAlembert] |
✓ |
✓ |
1.992 |
|
|
\[ {}y^{2} \left (x^{2}+2\right )+\left (x^{3}+y^{3}\right ) \left (y-x y^{\prime }\right ) = 0 \] |
homogeneousTypeD2 |
[[_homogeneous, ‘class D‘], _rational] |
✓ |
✓ |
1.699 |
|
|
\[ {}y \sqrt {x^{2}+y^{2}}-x \left (x +\sqrt {x^{2}+y^{2}}\right ) y^{\prime } = 0 \] |
exactByInspection, first_order_ode_lie_symmetry_calculated |
[[_homogeneous, ‘class G‘], _dAlembert] |
✓ |
✓ |
4.592 |
|
|
\[ {}x +y+1+\left (2 x +2 y+1\right ) y^{\prime } = 0 \] |
first_order_ode_lie_symmetry_calculated |
[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
0.803 |
|
|
\[ {}1+2 y-\left (4-x \right ) y^{\prime } = 0 \] |
exact, linear, separable, homogeneousTypeMapleC, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
1.612 |
|
|
\[ {}\left (x^{2}+1\right ) y^{\prime }+x y = 0 \] |
exact, linear, separable, homogeneousTypeD2, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
1.198 |
|
|
\[ {}2 x y+\left (2 x +3 y\right ) y^{\prime } = 0 \] |
unknown |
[_rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
❇ |
N/A |
0.399 |
|
|
\[ {}2 x y^{\prime }-2 y = \sqrt {x^{2}+4 y^{2}} \] |
first_order_ode_lie_symmetry_calculated |
[[_homogeneous, ‘class A‘], _rational, _dAlembert] |
✓ |
✓ |
2.997 |
|
|
\[ {}3 y-7 x +7+\left (7 y-3 x +3\right ) y^{\prime } = 0 \] |
homogeneousTypeMapleC, first_order_ode_lie_symmetry_calculated |
[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
2.744 |
|
|
\[ {}x y y^{\prime } = \left (y+1\right ) \left (1-x \right ) \] |
exact, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
1.465 |
|
|
\[ {}y^{2}-x^{2}+x y y^{\prime } = 0 \] |
bernoulli, homogeneousTypeD2, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[[_homogeneous, ‘class A‘], _rational, _Bernoulli] |
✓ |
✓ |
1.685 |
|
|
\[ {}y \left (1+2 x y\right )+x \left (1-x y\right ) y^{\prime } = 0 \] |
exactWithIntegrationFactor, first_order_ode_lie_symmetry_calculated |
[[_homogeneous, ‘class G‘], _rational, [_Abel, ‘2nd type‘, ‘class B‘]] |
✓ |
✓ |
1.641 |
|
|
\[ {}1+\left (-x^{2}+1\right ) \cot \left (y\right ) y^{\prime } = 0 \] |
exact, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
1.492 |
|
|
\[ {}x^{3}+y^{3}+3 x y^{2} y^{\prime } = 0 \] |
exact, bernoulli, homogeneousTypeD2, first_order_ode_lie_symmetry_lookup |
[[_homogeneous, ‘class A‘], _exact, _rational, _Bernoulli] |
✓ |
✓ |
2.03 |
|
|
\[ {}3 x +2 y+1-\left (3 x +2 y-1\right ) y^{\prime } = 0 \] |
first_order_ode_lie_symmetry_calculated |
[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
0.863 |
|
|
\[ {}x y^{\prime }+2 y = 0 \] |
exact, linear, separable, homogeneousTypeD2, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
1.536 |
|
|
\[ {}x^{2}+y^{2}+x y y^{\prime } = 0 \] |
bernoulli, homogeneousTypeD2, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[[_homogeneous, ‘class A‘], _rational, _Bernoulli] |
✓ |
✓ |
2.356 |
|
|
\[ {}\cos \left (y\right )+\left (1+{\mathrm e}^{-x}\right ) \sin \left (y\right ) y^{\prime } = 0 \] |
exact, separable, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
2.595 |
|
|
\[ {}y^{2}+x y-x y^{\prime } = 0 \] |
riccati, bernoulli, first_order_ode_lie_symmetry_lookup |
[_rational, _Bernoulli] |
✓ |
✓ |
28.431 |
|
|
\[ {}y^{\prime } = -2 \left (2 x +3 y\right )^{2} \] |
riccati, first_order_ode_lie_symmetry_calculated |
[[_homogeneous, ‘class C‘], _Riccati] |
✓ |
✓ |
0.867 |
|
|
\[ {}x -2 \sin \left (y\right )+3+\left (2 x -4 \sin \left (y\right )-3\right ) \cos \left (y\right ) y^{\prime } = 0 \] |
unknown |
[[_1st_order, ‘_with_symmetry_[F(x),G(y)]‘]] |
✗ |
N/A |
3.741 |
|
|
\[ {}x^{2}-y-x y^{\prime } = 0 \] |
exact |
[_linear] |
✓ |
✓ |
0.237 |
|
|
\[ {}x^{2}+y^{2}+2 x y y^{\prime } = 0 \] |
exact |
[[_homogeneous, ‘class A‘], _exact, _rational, _Bernoulli] |
✓ |
✓ |
0.259 |
|
|
\[ {}x +y \cos \left (x \right )+y^{\prime } \sin \left (x \right ) = 0 \] |
exact |
[_linear] |
✓ |
✓ |
0.286 |
|
|
\[ {}2 x +3 y+4+\left (3 x +4 y+5\right ) y^{\prime } = 0 \] |
exact |
[[_homogeneous, ‘class C‘], _exact, _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
0.289 |
|
|
\[ {}4 x^{3} y^{3}+\frac {1}{x}+\left (3 x^{4} y^{2}-\frac {1}{y}\right ) y^{\prime } = 0 \] |
exact |
[[_homogeneous, ‘class G‘], _exact, _rational] |
✓ |
✓ |
0.796 |
|
|
\[ {}2 u^{2}+2 u v+\left (u^{2}+v^{2}\right ) v^{\prime } = 0 \] |
exact |
[[_homogeneous, ‘class A‘], _exact, _rational, _dAlembert] |
✓ |
✓ |
0.323 |
|
|
\[ {}x \sqrt {x^{2}+y^{2}}-y+\left (y \sqrt {x^{2}+y^{2}}-x \right ) y^{\prime } = 0 \] |
exact |
[_exact] |
✓ |
✓ |
0.389 |
|
|
\[ {}x +y+1-\left (y-x +3\right ) y^{\prime } = 0 \] |
exact |
[[_homogeneous, ‘class C‘], _exact, _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
0.283 |
|
|
\[ {}y^{2}-\frac {y}{x \left (x +y\right )}+2+\left (\frac {1}{x +y}+2 y \left (1+x \right )\right ) y^{\prime } = 0 \] |
exact |
[_exact, _rational] |
✓ |
✓ |
0.455 |
|
|
\[ {}2 x y \,{\mathrm e}^{x^{2} y}+y^{2} {\mathrm e}^{x y^{2}}+1+\left (x^{2} {\mathrm e}^{x^{2} y}+2 x y \,{\mathrm e}^{x y^{2}}-2 y\right ) y^{\prime } = 0 \] |
exact |
[_exact] |
✓ |
✓ |
0.46 |
|
|
\[ {}y \left (x -2 y\right )-x^{2} y^{\prime } = 0 \] |
riccati, bernoulli, exactByInspection, homogeneousTypeD2, first_order_ode_lie_symmetry_lookup |
[[_homogeneous, ‘class A‘], _rational, _Bernoulli] |
✓ |
✓ |
1.345 |
|
|
\[ {}x^{2}+y^{2}+x y y^{\prime } = 0 \] |
bernoulli, homogeneousTypeD2, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[[_homogeneous, ‘class A‘], _rational, _Bernoulli] |
✓ |
✓ |
1.536 |
|
|
\[ {}x^{2}+y^{2}+2 x y y^{\prime } = 0 \] |
exact, bernoulli, homogeneousTypeD2, first_order_ode_lie_symmetry_lookup |
[[_homogeneous, ‘class A‘], _exact, _rational, _Bernoulli] |
✓ |
✓ |
1.734 |
|
|
\[ {}1-\sqrt {a^{2}-x^{2}}\, y^{\prime } = 0 \] |
quadrature |
[_quadrature] |
✓ |
✓ |
0.491 |
|
|
\[ {}x +y+1-\left (x -y-3\right ) y^{\prime } = 0 \] |
homogeneousTypeMapleC, first_order_ode_lie_symmetry_calculated |
[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
1.921 |
|
|
\[ {}x -x^{2}-y^{2}+y y^{\prime } = 0 \] |
exact |
[[_homogeneous, ‘class D‘], _rational, _Bernoulli] |
✓ |
✓ |
0.274 |
|
|
\[ {}2 y-3 x +x y^{\prime } = 0 \] |
exact |
[_linear] |
✓ |
✓ |
0.249 |
|
|
\[ {}x -y^{2}+2 x y y^{\prime } = 0 \] |
exact |
[[_homogeneous, ‘class G‘], _rational, _Bernoulli] |
✓ |
✓ |
0.256 |
|
|
\[ {}-y-3 x^{2} \left (x^{2}+y^{2}\right )+x y^{\prime } = 0 \] |
exact |
[[_homogeneous, ‘class D‘], _rational, _Riccati] |
✓ |
✓ |
0.334 |
|
|
\[ {}y-\ln \left (x \right )-x y^{\prime } = 0 \] |
exact |
[_linear] |
✓ |
✓ |
0.296 |
|
|
\[ {}3 x^{2}+y^{2}-2 x y y^{\prime } = 0 \] |
exact |
[[_homogeneous, ‘class A‘], _rational, _Bernoulli] |
✓ |
✓ |
0.231 |
|
|
\[ {}x y-2 y^{2}-\left (x^{2}-3 x y\right ) y^{\prime } = 0 \] |
exact |
[[_homogeneous, ‘class A‘], _rational, [_Abel, ‘2nd type‘, ‘class B‘]] |
✓ |
✓ |
0.441 |
|
|
\[ {}x +y-\left (x -y\right ) y^{\prime } = 0 \] |
exact |
[[_homogeneous, ‘class A‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
0.286 |
|
|
\[ {}2 y-3 x y^{2}-x y^{\prime } = 0 \] |
exact |
[[_homogeneous, ‘class G‘], _rational, _Bernoulli] |
✓ |
✓ |
10.922 |
|
|
\[ {}y+x \left (x^{2} y-1\right ) y^{\prime } = 0 \] |
exact |
[[_homogeneous, ‘class G‘], _rational, [_Abel, ‘2nd type‘, ‘class B‘]] |
✓ |
✓ |
0.292 |
|
|
\[ {}y+x^{3} y+2 x^{2}+\left (x +4 y^{4} x +8 y^{3}\right ) y^{\prime } = 0 \] |
exact |
[_rational] |
✓ |
✓ |
0.365 |
|
|
\[ {}-y-x^{2} {\mathrm e}^{x}+x y^{\prime } = 0 \] |
exact |
[_linear] |
✓ |
✓ |
0.295 |
|
|
\[ {}1+y^{2} = \left (x^{2}+x \right ) y^{\prime } \] |
exact |
[_separable] |
✓ |
✓ |
0.252 |
|
|
\[ {}2 y-x^{3}+x y^{\prime } = 0 \] |
exact |
[_linear] |
✓ |
✓ |
0.26 |
|
|
\[ {}y+\left (y^{2}-x \right ) y^{\prime } = 0 \] |
exact |
[[_homogeneous, ‘class G‘], _rational] |
✓ |
✓ |
0.217 |
|
|
\[ {}3 y^{3}-x y-\left (x^{2}+6 x y^{2}\right ) y^{\prime } = 0 \] |
exact |
[[_homogeneous, ‘class G‘], _rational] |
✓ |
✓ |
0.429 |
|
|
\[ {}3 x^{2} y^{2}+4 \left (x^{3} y-3\right ) y^{\prime } = 0 \] |
exact |
[[_homogeneous, ‘class G‘], _rational, [_Abel, ‘2nd type‘, ‘class B‘]] |
✓ |
✓ |
0.261 |
|
|
\[ {}y \left (x +y\right )-x^{2} y^{\prime } = 0 \] |
exact |
[[_homogeneous, ‘class A‘], _rational, _Bernoulli] |
✓ |
✓ |
0.237 |
|
|
\[ {}2 y+3 x y^{2}+\left (x +2 x^{2} y\right ) y^{\prime } = 0 \] |
exact |
[[_homogeneous, ‘class G‘], _rational, [_Abel, ‘2nd type‘, ‘class B‘]] |
✓ |
✓ |
0.253 |
|
|
\[ {}y \left (y^{2}-2 x^{2}\right )+x \left (2 y^{2}-x^{2}\right ) y^{\prime } = 0 \] |
exact |
[[_homogeneous, ‘class A‘], _rational, _dAlembert] |
✓ |
✓ |
0.372 |
|
|
\[ {}-y+x y^{\prime } = 0 \] |
exact |
[_separable] |
✓ |
✓ |
0.264 |
|
|
\[ {}y^{\prime }+y = 2 x +2 \] |
linear, homogeneousTypeD2, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[[_linear, ‘class A‘]] |
✓ |
✓ |
1.349 |
|
|
\[ {}y^{\prime }-y = x y \] |
exact, linear, separable, homogeneousTypeD2, first_order_ode_lie_symmetry_lookup |
[_separable] |
✓ |
✓ |
1.299 |
|
|
\[ {}-3 y-\left (-2+x \right ) {\mathrm e}^{x}+x y^{\prime } = 0 \] |
linear, exactWithIntegrationFactor, first_order_ode_lie_symmetry_lookup |
[_linear] |
✓ |
✓ |
1.332 |
|
|
|
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