|
# |
ODE |
Mathematica |
Maple |
Sympy |
|
\[
{} y^{\prime \prime }+y = {\mathrm e}^{a \cos \left (x \right )}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x y^{\prime \prime }-\left (2 x +1\right ) y^{\prime }+\left (1+x \right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime } = \frac {x y+3 x -2 y+6}{x y-3 x -2 y+6}
\]
|
✗ |
✗ |
✗ |
|
|
\[
{} y^{\prime } = a x +b y^{2}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} c y^{\prime } = a x +b y^{2}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} c y^{\prime } = \frac {a x +b y^{2}}{r}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} c y^{\prime } = \frac {a x +b y^{2}}{r x}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} c y^{\prime } = \frac {a x +b y^{2}}{r \,x^{2}}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime } = \sin \left (x \right )+y^{2}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime } = \cos \left (x \right )+\frac {y^{2}}{x}
\]
|
✗ |
✗ |
✗ |
|
|
\[
{} y^{\prime } = x +y+b y^{2}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} {y^{\prime }}^{n} = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x {y^{\prime }}^{n} = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} {y^{\prime }}^{2} = \frac {1}{x y^{3}}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} {y^{\prime }}^{2} = \frac {1}{x^{2} y^{3}}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} {y^{\prime }}^{4} = \frac {1}{x y^{3}}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime } = \left (a +b x +y\right )^{4}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime } = \left (a +b x +c y\right )^{6}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime } = 5 \,{\mathrm e}^{x^{2}+20 y}+\sin \left (x \right )
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} [x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-x \left (t \right ) = y \left (t \right )+t, x^{\prime }\left (t \right )+y^{\prime }\left (t \right ) = 2 x \left (t \right )+3 y \left (t \right )+{\mathrm e}^{t}]
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} [x^{\prime }\left (t \right )+y^{\prime }\left (t \right )-x \left (t \right ) = y \left (t \right )+t +\sin \left (t \right )+\cos \left (t \right ), x^{\prime }\left (t \right )+y^{\prime }\left (t \right ) = 2 x \left (t \right )+3 y \left (t \right )+{\mathrm e}^{t}]
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (a t +1\right ) y^{\prime }+y = t
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} {y^{\prime \prime }}^{n} = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} a {y^{\prime \prime }}^{n} = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }+{y^{\prime }}^{2} = 1
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} {y^{\prime \prime }}^{2}+y^{\prime } = x
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }+{y^{\prime }}^{2} = x
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} {y^{\prime \prime }}^{2}+y^{\prime }+y = 0
\]
|
✗ |
✗ |
✗ |
|
|
\[
{} y^{\prime \prime }+{y^{\prime }}^{2}+y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y {y^{\prime \prime }}^{2}+y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y {y^{\prime \prime }}^{2}+{y^{\prime }}^{3} = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{2} {y^{\prime \prime }}^{2}+y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y {y^{\prime \prime }}^{4}+{y^{\prime }}^{2} = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y y^{\prime \prime }+{y^{\prime }}^{3} = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }+x y^{\prime }+y {y^{\prime }}^{2} = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }+\sin \left (x \right ) y^{\prime }+y {y^{\prime }}^{2} = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }+\left (1-x \right ) y^{\prime }+y^{2} {y^{\prime }}^{2} = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }+\left (\sin \left (x \right )+2 x \right ) y^{\prime }+\cos \left (y\right ) y {y^{\prime }}^{2} = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime } y^{\prime \prime }+y^{2} = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime } y^{\prime \prime }+y^{n} = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }+\left (x +3\right ) y^{\prime }+\left (y^{2}+3\right ) {y^{\prime }}^{2} = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }+x y^{\prime }+y {y^{\prime }}^{2} = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 3 y^{\prime \prime }+\cos \left (x \right ) y^{\prime }+\sin \left (y\right ) {y^{\prime }}^{2} = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 10 y^{\prime \prime }+x^{2} y^{\prime }+\frac {3 {y^{\prime }}^{2}}{y} = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 10 y^{\prime \prime }+\left ({\mathrm e}^{x}+3 x \right ) y^{\prime }+\frac {3 \,{\mathrm e}^{y} {y^{\prime }}^{2}}{\sin \left (y\right )} = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }-\frac {y^{\prime }}{\sqrt {x}}+\frac {\left (x +\sqrt {x}-8\right ) y}{4 x^{2}} = x
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }-c^{2} y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x^{6} y^{\prime \prime }+3 x^{5} y^{\prime }+a^{2} y = \frac {1}{x^{2}}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }+\cot \left (x \right ) y^{\prime }+4 \csc \left (x \right )^{2} y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (x^{2}+1\right ) y^{\prime \prime }+\left (1+x \right ) y^{\prime }+y = 4 \cos \left (\ln \left (1+x \right )\right )
\]
|
✗ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }+\tan \left (x \right ) y^{\prime }+\cos \left (x \right )^{2} y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x y^{\prime \prime }-y^{\prime }+4 x^{3} y = 8 x^{3} \sin \left (x \right )^{2}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x y^{\prime \prime }-y^{\prime }+4 x^{3} y = x^{5}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \cos \left (x \right ) y^{\prime \prime }+\sin \left (x \right ) y^{\prime }-2 y \cos \left (x \right )^{3} = 2 \cos \left (x \right )^{5}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }+\left (1-\frac {1}{x}\right ) y^{\prime }+4 x^{2} y \,{\mathrm e}^{-2 x} = 4 \left (x^{3}+x^{2}\right ) {\mathrm e}^{-3 x}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }-x^{2} y^{\prime }+x y = x^{m +1}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }-\frac {y^{\prime }}{\sqrt {x}}+\frac {\left (x +\sqrt {x}-8\right ) y}{4 x^{2}} = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \cos \left (x \right )^{2} y^{\prime \prime }-2 \cos \left (x \right ) \sin \left (x \right ) y^{\prime }+\cos \left (x \right )^{2} y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}-1\right ) y = -3 \,{\mathrm e}^{x^{2}} \sin \left (x \right )
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }-2 b x y^{\prime }+b^{2} x^{2} y = x
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}-3\right ) y = {\mathrm e}^{x^{2}}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }-2 \tan \left (x \right ) y^{\prime }+5 y = {\mathrm e}^{x^{2}} \sec \left (x \right )
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 4 x^{2} y^{\prime \prime }+4 x^{5} y^{\prime }+\left (x^{8}+6 x^{4}+4\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x^{2} y^{\prime \prime }+\left (x y^{\prime }-y\right )^{2} = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 2 x y^{2}-y+\left (y^{2}+x +y\right ) y^{\prime } = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime } = x -y^{2}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x^{2} y^{\prime \prime }-x \left (x +6\right ) y^{\prime }+10 y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-5\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime \prime }-x y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (x^{2}-1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (x^{2}-1\right ) y^{\prime \prime }-6 x y^{\prime }+12 y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (x^{2}+3\right ) y^{\prime \prime }-7 x y^{\prime }+16 y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (x^{2}-1\right ) y^{\prime \prime }+8 x y^{\prime }+12 y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 3 y^{\prime \prime }+x y^{\prime }-4 y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 5 y^{\prime \prime }-2 x y^{\prime }+10 y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }-x^{2} y^{\prime }-3 x y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }+x y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (x^{2}-6 x +10\right ) y^{\prime \prime }-4 \left (x -3\right ) y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (x^{2}+6 x \right ) y^{\prime \prime }+\left (3 x +9\right ) y^{\prime }-3 y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }+x y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (x^{2}+1\right ) y^{\prime \prime }-4 x y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (1-x \right ) y^{\prime \prime }+x y^{\prime }-y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 2 y^{\prime \prime }+x y^{\prime }+3 y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }+x y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (1-x \right ) y^{\prime \prime }+x y^{\prime }-y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }+x y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (-x^{2}+4\right ) y^{\prime \prime }+x y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (x^{2}-2 x \right ) y^{\prime \prime }+\left (-x^{2}+2\right ) y^{\prime }+\left (2 x -2\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 4 x^{2} y^{\prime \prime }+\left (-8 x^{2}+4 x \right ) y^{\prime }+\left (4 x^{2}-4 x -1\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}+2\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (2 x +1\right ) y^{\prime \prime }-2 y^{\prime }-\left (2 x +3\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x y^{\prime \prime }-\left (2+2 x \right ) y^{\prime }+\left (x +2\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x^{2} y^{\prime \prime }-2 x \left (1+x \right ) y^{\prime }+\left (x^{2}+2 x +2\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x^{2} y^{\prime \prime }-2 x \left (x +2\right ) y^{\prime }+\left (x^{2}+4 x +6\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 4 x^{2} y^{\prime \prime }-4 x \left (1+x \right ) y^{\prime }+\left (2 x +3\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (3 x -1\right ) y^{\prime \prime }-\left (3 x +2\right ) y^{\prime }-\left (6 x -8\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (x +2\right ) y^{\prime \prime }+x y^{\prime }+3 y = 0
\]
|
✓ |
✓ |
✗ |
|