|
# |
ODE |
Mathematica |
Maple |
Sympy |
|
\[
{} y^{\prime \prime }+y = \sec \left (\frac {t}{2}\right )+\csc \left (\frac {t}{2}\right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+9 y = \tan \left (3 t \right )^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+9 y = \sec \left (3 t \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+9 y = \tan \left (3 t \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+4 y = \tan \left (2 t \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+16 y = \tan \left (2 t \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+4 y = \tan \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+9 y = \sec \left (3 t \right ) \tan \left (3 t \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+4 y = \sec \left (2 t \right ) \tan \left (2 t \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+9 y = \frac {\csc \left (3 t \right )}{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+4 y = \sec \left (2 t \right )^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-16 y = 16 t \,{\mathrm e}^{-4 t}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+y = \tan \left (t \right )^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+4 y = \sec \left (2 t \right )+\tan \left (2 t \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+9 y = \csc \left (3 t \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+4 y^{\prime }+3 y = 65 \cos \left (2 t \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} t^{2} y^{\prime \prime }+3 t y^{\prime }+y = \ln \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} t^{2} y^{\prime \prime }+t y^{\prime }+4 y = t
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} t^{2} y^{\prime \prime }-4 t y^{\prime }-6 y = 2 \ln \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 4 y^{\prime \prime }+4 y^{\prime }+y = {\mathrm e}^{-\frac {t}{2}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+4 y = f \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} t^{2} y^{\prime \prime }-4 t y^{\prime }+\left (t^{2}+6\right ) y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} t^{2} y^{\prime \prime }-4 t y^{\prime }+\left (t^{2}+6\right ) y = t^{3}+2 t
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} t y^{\prime \prime }+2 y^{\prime }+t y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} t y^{\prime \prime }+2 y^{\prime }+t y = -t
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 4 t^{2} y^{\prime \prime }+4 t y^{\prime }+\left (16 t^{2}-1\right ) y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 4 t^{2} y^{\prime \prime }+4 t y^{\prime }+\left (16 t^{2}-1\right ) y = 16 t^{{3}/{2}}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} t^{2} \left (\ln \left (t \right )-1\right ) y^{\prime \prime }-t y^{\prime }+y = -\frac {3 \left (1+\ln \left (t \right )\right )}{4 \sqrt {t}}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (\sin \left (t \right )-t \cos \left (t \right )\right ) y^{\prime \prime }-t \sin \left (t \right ) y^{\prime }+\sin \left (t \right ) y = t
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 2 y y^{\prime \prime }+y^{2} = {y^{\prime }}^{2}
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} 4 x^{2} y^{\prime \prime }-8 x y^{\prime }+5 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 3 x^{2} y^{\prime \prime }-4 x y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 2 x^{2} y^{\prime \prime }-8 x y^{\prime }+8 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 2 x^{2} y^{\prime \prime }-7 x y^{\prime }+7 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 4 x^{2} y^{\prime \prime }+17 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 9 x^{2} y^{\prime \prime }-9 x y^{\prime }+10 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 2 x^{2} y^{\prime \prime }-2 x y^{\prime }+20 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{\prime \prime }-5 x y^{\prime }+10 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 4 x^{2} y^{\prime \prime }+8 x y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 4 x^{2} y^{\prime \prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{\prime \prime }-5 x y^{\prime }+9 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{\prime \prime }+7 x y^{\prime }+9 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{\prime \prime }+5 x y^{\prime }+4 y = \frac {1}{x^{5}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{\prime \prime }-5 x y^{\prime }+9 y = x^{3}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y = \frac {1}{x^{2}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+4 y = \frac {1}{x^{2}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-6 y = 2 x
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-16 y = \ln \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+4 y = 8
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+36 y = x^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 3 x^{2} y^{\prime \prime }-4 x y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 2 x^{2} y^{\prime \prime }-7 x y^{\prime }+7 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 2 x^{2} y^{\prime \prime }+3 x y^{\prime }-y = \frac {1}{x^{2}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{\prime \prime }+4 x y^{\prime }+2 y = \ln \left (x \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 4 x^{2} y^{\prime \prime }+y = x^{3}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 9 x^{2} y^{\prime \prime }+27 x y^{\prime }+10 y = \frac {1}{x}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{\prime \prime }-x y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{\prime \prime }+4 x y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \left (x^{2}+1\right )^{2} y^{\prime \prime }+2 x \left (x^{2}+1\right ) y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (x^{2}+1\right )^{2} y^{\prime \prime }+2 x \left (x^{2}+1\right ) y^{\prime }+4 y = \arctan \left (x \right )
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (x^{2}+1\right )^{2} y^{\prime \prime }+2 x \left (x^{2}+1\right ) y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (x^{2}+1\right )^{2} y^{\prime \prime }+2 x \left (x^{2}+1\right ) y^{\prime }+4 y = \arctan \left (x \right )
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (x^{4}-1\right ) y^{\prime \prime }+\left (x^{3}-x \right ) y^{\prime }+y \left (x^{2}-1\right ) = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (x^{4}-1\right ) y^{\prime \prime }+\left (x^{3}-x \right ) y^{\prime }+\left (4 x^{2}-4\right ) y = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} \left (x^{4}-1\right ) y^{\prime \prime }+\left (x^{3}-x \right ) y^{\prime }+y \left (x^{2}-1\right ) = 0
\]
|
✓ |
✓ |
✗ |
|
|
\[
{} x^{2} y^{\prime \prime }+4 x y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y = x^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+4 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 6 x^{2} y^{\prime \prime }+5 x y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-7 y^{\prime }+10 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-2 y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} \left (t +1\right )^{2} y^{\prime \prime }-2 \left (t +1\right ) y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} t y^{\prime \prime }+2 y^{\prime }+t y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+7 y^{\prime }+10 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 6 y^{\prime \prime }+5 y^{\prime }-4 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+2 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+3 y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-10 y^{\prime }+34 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 2 y^{\prime \prime }-5 y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 15 y^{\prime \prime }-11 y^{\prime }+2 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 20 y^{\prime \prime }+y^{\prime }-y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} 12 y^{\prime \prime }+8 y^{\prime }+y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-2 y^{\prime }-8 y = -t
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+5 y^{\prime } = 5 t^{2}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-4 y^{\prime } = -3 \sin \left (t \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 3 \sin \left (2 t \right )
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-9 y = \frac {1}{1+{\mathrm e}^{3 t}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-2 y^{\prime } = \frac {1}{1+{\mathrm e}^{2 t}}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-3 y^{\prime }+2 y = -4 \,{\mathrm e}^{-2 t}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }-6 y^{\prime }+13 y = 3 \,{\mathrm e}^{-2 t}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+9 y^{\prime }+20 y = -2 \,{\mathrm e}^{t} t
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+7 y^{\prime }+12 y = 3 t^{2} {\mathrm e}^{-4 t}
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+5 y^{\prime }+6 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+10 y^{\prime }+16 y = 0
\]
|
✓ |
✓ |
✓ |
|
|
\[
{} y^{\prime \prime }+16 y = 0
\]
|
✓ |
✓ |
✓ |
|