| # |
ODE |
CAS classification |
Solved? |
Maple |
Mma |
Sympy |
time(sec) |
| \begin{align*}
y^{\prime }&=\frac {1}{x} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.672 |
|
| \begin{align*}
y^{\prime }&=\frac {-y x -1}{4 x^{3} y-2 x^{2}} \\
\end{align*} |
[[_homogeneous, ‘class G‘], _rational, [_Abel, ‘2nd type‘, ‘class B‘]] |
✓ |
✓ |
✓ |
✓ |
121.228 |
|
| \begin{align*}
\frac {{y^{\prime }}^{2}}{4}-x y^{\prime }+y&=0 \\
\end{align*} |
[[_1st_order, _with_linear_symmetries], _Clairaut] |
✓ |
✓ |
✓ |
✓ |
0.349 |
|
| \begin{align*}
y^{\prime }&=\sqrt {\frac {y+1}{y^{2}}} \\
y \left (0\right ) &= 1 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
200.454 |
|
| \begin{align*}
y^{\prime }&=\sqrt {1-x^{2}-y^{2}} \\
\end{align*} |
[‘y=_G(x,y’)‘] |
✗ |
✗ |
✗ |
✗ |
2.369 |
|
| \begin{align*}
y^{\prime }+\frac {y}{3}&=\frac {\left (1-2 x \right ) y^{4}}{3} \\
\end{align*} |
[_Bernoulli] |
✓ |
✓ |
✓ |
✓ |
2.089 |
|
| \begin{align*}
y^{\prime }&=\sqrt {y}+x \\
\end{align*} |
[[_1st_order, _with_linear_symmetries], _Chini] |
✓ |
✓ |
✓ |
✗ |
105.909 |
|
| \begin{align*}
x^{2} y^{\prime }+y^{2}&=x y y^{\prime } \\
\end{align*} |
[[_homogeneous, ‘class A‘], _rational, [_Abel, ‘2nd type‘, ‘class B‘]] |
✓ |
✓ |
✓ |
✓ |
55.136 |
|
| \begin{align*}
y&=x y^{\prime }+{y^{\prime }}^{2} x^{2} \\
\end{align*} |
[_separable] |
✓ |
✓ |
✓ |
✓ |
1.921 |
|
| \begin{align*}
\left (x +y\right ) y^{\prime }&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.151 |
|
| \begin{align*}
x y^{\prime }&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.351 |
|
| \begin{align*}
\frac {y^{\prime }}{x +y}&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.122 |
|
| \begin{align*}
\frac {y^{\prime }}{x}&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.340 |
|
| \begin{align*}
y^{\prime }&=0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.329 |
|
| \begin{align*}
y&={y^{\prime }}^{2} x +{y^{\prime }}^{2} \\
\end{align*} |
[[_homogeneous, ‘class C‘], _rational, _dAlembert] |
✓ |
✓ |
✓ |
✓ |
0.643 |
|
| \begin{align*}
y^{\prime }&=\frac {5 x^{2}-y x +y^{2}}{x^{2}} \\
\end{align*} |
[[_homogeneous, ‘class A‘], _rational, _Riccati] |
✓ |
✓ |
✓ |
✓ |
3.928 |
|
| \begin{align*}
2 t +3 x+\left (x+2\right ) x^{\prime }&=0 \\
\end{align*} |
[[_homogeneous, ‘class C‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
✓ |
✓ |
9.570 |
|
| \begin{align*}
y^{\prime }&=\frac {1}{1-y} \\
y \left (0\right ) &= 2 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
0.786 |
|
| \begin{align*}
p^{\prime }&=a p-b p^{2} \\
p \left (\operatorname {t0} \right ) &= \operatorname {p0} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
5.122 |
|
| \begin{align*}
y^{2}+\frac {2}{x}+2 x y y^{\prime }&=0 \\
\end{align*} |
[[_homogeneous, ‘class G‘], _exact, _rational, _Bernoulli] |
✓ |
✓ |
✓ |
✓ |
3.474 |
|
| \begin{align*}
f^{\prime } x -f&=\frac {{f^{\prime }}^{2} \left (1-{f^{\prime }}^{\lambda }\right )^{2}}{\lambda ^{2}} \\
\end{align*} |
[_Clairaut] |
✓ |
✓ |
✓ |
✗ |
5.876 |
|
| \begin{align*}
x y^{\prime }-2 y+b y^{2}&=c \,x^{4} \\
\end{align*} |
[_rational, _Riccati] |
✓ |
✓ |
✓ |
✗ |
2.187 |
|
| \begin{align*}
x y^{\prime }-y+y^{2}&=x^{{2}/{3}} \\
\end{align*} |
[_rational, _Riccati] |
✓ |
✓ |
✓ |
✗ |
51.581 |
|
| \begin{align*}
u^{\prime }+u^{2}&=\frac {1}{x^{{4}/{5}}} \\
\end{align*} |
[_rational, _Riccati] |
✓ |
✓ |
✓ |
✗ |
0.434 |
|
| \begin{align*}
y y^{\prime }-y&=x \\
\end{align*} |
[[_homogeneous, ‘class A‘], _rational, [_Abel, ‘2nd type‘, ‘class A‘]] |
✓ |
✓ |
✓ |
✗ |
8.649 |
|
| \begin{align*}
y+2 y^{\prime }+y^{\prime \prime }&=0 \\
\end{align*} |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
✓ |
✓ |
0.308 |
|
| \begin{align*}
5 y^{\prime \prime }+2 y^{\prime }+4 y&=0 \\
y \left (0\right ) &= 0 \\
y^{\prime }\left (0\right ) &= 5 \\
\end{align*} |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
✓ |
✓ |
0.494 |
|
| \begin{align*}
y^{\prime \prime }+y^{\prime }+4 y&=1 \\
\end{align*} |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
✓ |
✓ |
0.458 |
|
| \begin{align*}
y^{\prime \prime }+y^{\prime }+4 y&=\sin \left (x \right ) \\
\end{align*} |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
✓ |
✓ |
0.448 |
|
| \begin{align*}
y&={y^{\prime }}^{2} x \\
\end{align*} |
[[_homogeneous, ‘class A‘], _rational, _dAlembert] |
✓ |
✓ |
✓ |
✓ |
1.971 |
|
| \begin{align*}
y y^{\prime }&=1-x {y^{\prime }}^{3} \\
\end{align*} |
[_dAlembert] |
✓ |
✓ |
✓ |
✗ |
90.918 |
|
| \begin{align*}
f^{\prime }&=\frac {1}{f} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
1.298 |
|
| \begin{align*}
t y^{\prime \prime }+4 y^{\prime }&=t^{2} \\
\end{align*} |
[[_2nd_order, _missing_y]] |
✓ |
✓ |
✓ |
✓ |
0.957 |
|
| \begin{align*}
\left (t^{2}+9\right ) y^{\prime \prime }+2 t y^{\prime }&=0 \\
y \left (3\right ) &= 2 \pi \\
y^{\prime }\left (3\right ) &= {\frac {2}{3}} \\
\end{align*} |
[[_2nd_order, _missing_y]] |
✓ |
✓ |
✓ |
✓ |
0.822 |
|
| \begin{align*}
t^{2} y^{\prime \prime }-3 t y^{\prime }+5 y&=0 \\
\end{align*} |
[[_Emden, _Fowler]] |
✓ |
✓ |
✓ |
✓ |
1.410 |
|
| \begin{align*}
t y^{\prime \prime }+y^{\prime }&=0 \\
\end{align*} |
[[_2nd_order, _missing_y]] |
✓ |
✓ |
✓ |
✓ |
0.710 |
|
| \begin{align*}
t^{2} y^{\prime \prime }-2 y^{\prime }&=0 \\
\end{align*} |
[[_2nd_order, _missing_y]] |
✓ |
✓ |
✓ |
✓ |
0.596 |
|
| \begin{align*}
y^{\prime \prime }+\frac {\left (t^{2}-1\right ) y^{\prime }}{t}+\frac {t^{2} y}{\left (1+{\mathrm e}^{\frac {t^{2}}{2}}\right )^{2}}&=0 \\
\end{align*} |
[[_2nd_order, _with_linear_symmetries]] |
✗ |
✓ |
✓ |
✗ |
13.026 |
|
| \begin{align*}
t y^{\prime \prime }-y^{\prime }+4 t^{3} y&=0 \\
\end{align*} |
[[_Emden, _Fowler], [_2nd_order, _linear, ‘_with_symmetry_[0,F(x)]‘]] |
✓ |
✓ |
✓ |
✓ |
1.173 |
|
| \begin{align*}
y^{\prime \prime }&=0 \\
\end{align*} |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
✓ |
✓ |
0.500 |
|
| \begin{align*}
y^{\prime \prime }&=1 \\
\end{align*} |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
✓ |
✓ |
0.906 |
|
| \begin{align*}
y^{\prime \prime }&=f \left (t \right ) \\
\end{align*} |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
✓ |
✓ |
0.692 |
|
| \begin{align*}
y^{\prime \prime }&=k \\
\end{align*} |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
✓ |
✓ |
0.675 |
|
| \begin{align*}
y^{\prime }&=-4 \sin \left (x -y\right )-4 \\
\end{align*} |
[[_homogeneous, ‘class C‘], _dAlembert] |
✓ |
✓ |
✓ |
✓ |
24.362 |
|
| \begin{align*}
y^{\prime }+\sin \left (x -y\right )&=0 \\
\end{align*} |
[[_homogeneous, ‘class C‘], _dAlembert] |
✓ |
✓ |
✓ |
✓ |
1.616 |
|
| \begin{align*}
y^{\prime \prime }&=4 \sin \left (x \right )-4 \\
\end{align*} |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
✓ |
✓ |
0.751 |
|
| \begin{align*}
y y^{\prime \prime }&=0 \\
\end{align*} |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
✓ |
✓ |
0.054 |
|
| \begin{align*}
y y^{\prime \prime }&=1 \\
\end{align*} |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
✓ |
✗ |
1.007 |
|
| \begin{align*}
y y^{\prime \prime }&=x \\
\end{align*} |
[[_Emden, _Fowler], [_2nd_order, _with_linear_symmetries]] |
✗ |
✗ |
✗ |
✗ |
0.315 |
|
| \begin{align*}
y^{2} y^{\prime \prime }&=x \\
\end{align*} |
[[_Emden, _Fowler], [_2nd_order, _with_linear_symmetries]] |
✗ |
✓ |
✗ |
✗ |
0.352 |
|
| \begin{align*}
y^{2} y^{\prime \prime }&=0 \\
\end{align*} |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
✓ |
✓ |
0.055 |
|
| \begin{align*}
3 y y^{\prime \prime }&=\sin \left (x \right ) \\
\end{align*} |
[NONE] |
✗ |
✗ |
✗ |
✗ |
0.385 |
|
| \begin{align*}
3 y y^{\prime \prime }+y&=5 \\
\end{align*} |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
✓ |
✓ |
20.455 |
|
| \begin{align*}
a y y^{\prime \prime }+b y&=c \\
\end{align*} |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
✓ |
✗ |
2.025 |
|
| \begin{align*}
a y^{2} y^{\prime \prime }+b y^{2}&=c \\
\end{align*} |
[[_2nd_order, _missing_x], [_2nd_order, _reducible, _mu_x_y1]] |
✓ |
✓ |
✓ |
✗ |
75.468 |
|
| \begin{align*}
a y y^{\prime \prime }+b y&=0 \\
\end{align*} |
[[_2nd_order, _quadrature]] |
✓ |
✓ |
✓ |
✓ |
0.079 |
|
| \begin{align*}
x^{\prime }&=9 x+4 y \\
y^{\prime }&=-6 x-y \\
z^{\prime }&=6 x+4 y+3 z \\
\end{align*} |
system_of_ODEs |
✓ |
✓ |
✓ |
✓ |
0.571 |
|
| \begin{align*}
x^{\prime }&=x-3 y \\
y^{\prime }&=3 x+7 y \\
\end{align*} |
system_of_ODEs |
✓ |
✓ |
✓ |
✓ |
0.323 |
|
| \begin{align*}
x^{\prime }&=x-2 y \\
y^{\prime }&=2 x+5 y \\
\end{align*} |
system_of_ODEs |
✓ |
✓ |
✓ |
✓ |
0.312 |
|
| \begin{align*}
x^{\prime }&=7 x+y \\
y^{\prime }&=-4 x+3 y \\
\end{align*} |
system_of_ODEs |
✓ |
✓ |
✓ |
✓ |
0.328 |
|
| \begin{align*}
x^{\prime }&=x+y \\
y^{\prime }&=y \\
z^{\prime }&=z \\
\end{align*} |
system_of_ODEs |
✓ |
✓ |
✓ |
✓ |
0.429 |
|
| \begin{align*}
x^{\prime }&=2 x+y-z \\
y^{\prime }&=-x+2 z \\
z^{\prime }&=-x-2 y+4 z \\
\end{align*} |
system_of_ODEs |
✓ |
✓ |
✓ |
✓ |
0.522 |
|
| \begin{align*}
x^{\prime }&=4 A k \left (\frac {x}{A}\right )^{{3}/{4}}-3 k x \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✗ |
97.989 |
|
| \begin{align*}
\frac {y^{\prime } y}{1+\frac {\sqrt {1+{y^{\prime }}^{2}}}{2}}&=-x \\
\end{align*} |
[[_homogeneous, ‘class A‘], _dAlembert] |
✓ |
✓ |
✓ |
✗ |
1.006 |
|
| \begin{align*}
\frac {y^{\prime } y}{1+\frac {\sqrt {1+{y^{\prime }}^{2}}}{2}}&=-x \\
y \left (0\right ) &= 3 \\
\end{align*} |
[[_homogeneous, ‘class A‘], _dAlembert] |
✓ |
✓ |
✓ |
✗ |
0.974 |
|
| \begin{align*}
y^{\prime }&=\frac {y \left (1+\frac {a^{2} x}{\sqrt {a^{2} \left (x^{2}+1\right )}}\right )}{\sqrt {a^{2} \left (x^{2}+1\right )}} \\
\end{align*} |
[_separable] |
✓ |
✓ |
✓ |
✓ |
122.758 |
|
| \begin{align*}
y^{\prime }&=x^{2}+y^{2} \\
\end{align*} |
[[_Riccati, _special]] |
✓ |
✓ |
✓ |
✗ |
6.247 |
|
| \begin{align*}
y^{\prime }&=2 \sqrt {y} \\
y \left (0\right ) &= 0 \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
5.803 |
|
| \begin{align*}
z^{\prime \prime }+3 z^{\prime }+2 z&=24 \,{\mathrm e}^{-3 t}-24 \,{\mathrm e}^{-4 t} \\
\end{align*} |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
✓ |
✓ |
0.477 |
|
| \begin{align*}
y^{\prime }&=\sqrt {1-y^{2}} \\
\end{align*} |
[_quadrature] |
✓ |
✓ |
✓ |
✓ |
3.712 |
|
| \begin{align*}
y^{\prime }&=x^{2}+y^{2}-1 \\
\end{align*} |
[_Riccati] |
✓ |
✓ |
✓ |
✗ |
24.213 |
|
| \begin{align*}
y^{\prime }&=2 y \left (x \sqrt {y}-1\right ) \\
y \left (0\right ) &= 1 \\
\end{align*} |
[_Bernoulli] |
✓ |
✓ |
✓ |
✗ |
2.056 |
|
| \begin{align*}
y^{\prime \prime }&=\frac {1}{y}-\frac {x y^{\prime }}{y^{2}} \\
\end{align*} |
[[_2nd_order, _exact, _nonlinear], [_2nd_order, _with_linear_symmetries], [_2nd_order, _reducible, _mu_x_y1], [_2nd_order, _reducible, _mu_y_y1], [_2nd_order, _reducible, _mu_xy]] |
✓ |
✓ |
✓ |
✗ |
48.467 |
|
| \begin{align*}
y^{\prime \prime }+y^{\prime }+y&=0 \\
y \left (0\right ) &= 0 \\
\end{align*} |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
✓ |
✓ |
0.379 |
|
| \begin{align*}
y^{\prime \prime }+y^{\prime }+y&=0 \\
y^{\prime }\left (0\right ) &= 0 \\
\end{align*} |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
✓ |
✓ |
0.349 |
|
| \begin{align*}
y^{\prime \prime }+y^{\prime }+y&=0 \\
y^{\prime }\left (0\right ) &= 0 \\
y \left (0\right ) &= 1 \\
\end{align*} |
[[_2nd_order, _missing_x]] |
✓ |
✓ |
✓ |
✓ |
0.453 |
|
| \begin{align*}
y^{\prime \prime }-y y^{\prime }&=2 x \\
\end{align*} |
[[_2nd_order, _exact, _nonlinear], [_2nd_order, _reducible, _mu_x_y1], [_2nd_order, _reducible, _mu_y_y1], [_2nd_order, _reducible, _mu_xy]] |
✗ |
✓ |
✓ |
✗ |
61.333 |
|
| \begin{align*}
y^{\prime }-y^{2}-x -x^{2}&=0 \\
\end{align*} |
[_Riccati] |
✓ |
✓ |
✓ |
✗ |
8.433 |
|
| \begin{align*}
y^{\prime \prime }-x y^{\prime }-y x -x&=0 \\
\end{align*} |
[[_2nd_order, _with_linear_symmetries]] |
✓ |
✓ |
✓ |
✗ |
0.732 |
|
| \begin{align*}
y^{\prime \prime }-x y^{\prime }-y x -2 x&=0 \\
\end{align*} |
[[_2nd_order, _with_linear_symmetries]] |
✓ |
✓ |
✓ |
✗ |
0.621 |
|
| \begin{align*}
y^{\prime \prime }-x y^{\prime }-y x -3 x&=0 \\
\end{align*} |
[[_2nd_order, _with_linear_symmetries]] |
✓ |
✓ |
✓ |
✗ |
0.629 |
|
| \begin{align*}
y^{\prime \prime }-x y^{\prime }-y x -x^{2}-x&=0 \\
\end{align*} |
[[_2nd_order, _with_linear_symmetries]] |
✓ |
✓ |
✓ |
✗ |
0.852 |
|
| \begin{align*}
y^{\prime \prime }-x y^{\prime }-y x -x^{3}+2&=0 \\
\end{align*} |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
✓ |
✗ |
0.910 |
|
| \begin{align*}
y^{\prime \prime }-x y^{\prime }-y x -x^{4}-6&=0 \\
\end{align*} |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
✓ |
✗ |
0.855 |
|
| \begin{align*}
y^{\prime \prime }-x y^{\prime }-y x -x^{5}+24&=0 \\
\end{align*} |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
✓ |
✗ |
0.879 |
|
| \begin{align*}
y^{\prime \prime }-x y^{\prime }-y x -x&=0 \\
\end{align*} |
[[_2nd_order, _with_linear_symmetries]] |
✓ |
✓ |
✓ |
✗ |
0.585 |
|
| \begin{align*}
y^{\prime \prime }-x y^{\prime }-y x -x^{2}&=0 \\
\end{align*} |
[[_2nd_order, _with_linear_symmetries]] |
✓ |
✓ |
✓ |
✗ |
0.795 |
|
| \begin{align*}
y^{\prime \prime }-x y^{\prime }-y x -x^{3}&=0 \\
\end{align*} |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
✓ |
✗ |
0.852 |
|
| \begin{align*}
y^{\prime \prime }-a x y^{\prime }-b x y-c x&=0 \\
\end{align*} |
[[_2nd_order, _with_linear_symmetries]] |
✗ |
✓ |
✓ |
✗ |
3.404 |
|
| \begin{align*}
y^{\prime \prime }-a x y^{\prime }-b x y-c \,x^{2}&=0 \\
\end{align*} |
[[_2nd_order, _with_linear_symmetries]] |
✗ |
✓ |
✓ |
✗ |
2.260 |
|
| \begin{align*}
y^{\prime \prime }-a x y^{\prime }-b x y-x^{3} c&=0 \\
\end{align*} |
[[_2nd_order, _linear, _nonhomogeneous]] |
✗ |
✓ |
✓ |
✗ |
2.350 |
|
| \begin{align*}
y^{\prime \prime }-y^{\prime }-y x -x&=0 \\
\end{align*} |
[[_2nd_order, _with_linear_symmetries]] |
✓ |
✓ |
✓ |
✗ |
0.260 |
|
| \begin{align*}
y^{\prime \prime }-y^{\prime }-y x -x^{2}&=0 \\
\end{align*} |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
✓ |
✗ |
0.933 |
|
| \begin{align*}
y^{\prime \prime }-y^{\prime }-y x -x^{2}-1&=0 \\
\end{align*} |
[[_2nd_order, _with_linear_symmetries]] |
✓ |
✓ |
✓ |
✗ |
0.259 |
|
| \begin{align*}
y^{\prime \prime }-y^{\prime }-y x -x^{2}-1&=0 \\
\end{align*} |
[[_2nd_order, _with_linear_symmetries]] |
✓ |
✓ |
✓ |
✗ |
0.261 |
|
| \begin{align*}
y^{\prime \prime }-2 y^{\prime }-y x -x^{2}-2&=0 \\
\end{align*} |
[[_2nd_order, _with_linear_symmetries]] |
✓ |
✓ |
✓ |
✗ |
0.276 |
|
| \begin{align*}
y^{\prime \prime }-4 y^{\prime }-y x -x^{2}-4&=0 \\
\end{align*} |
[[_2nd_order, _with_linear_symmetries]] |
✓ |
✓ |
✓ |
✗ |
0.270 |
|
| \begin{align*}
y^{\prime \prime }-y^{\prime }-y x -x^{3}+1&=0 \\
\end{align*} |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
✓ |
✗ |
0.890 |
|
| \begin{align*}
y^{\prime \prime }-2 y^{\prime }-y x -x^{3}-x^{2}&=0 \\
\end{align*} |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
✓ |
✗ |
0.267 |
|
| \begin{align*}
y^{\prime \prime }-y^{\prime }-y x -x^{3}+2&=0 \\
\end{align*} |
[[_2nd_order, _linear, _nonhomogeneous]] |
✓ |
✓ |
✓ |
✗ |
0.271 |
|