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ODE |
Mathematica |
Maple |
Sympy |
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\[
{} x^{2} y^{\prime \prime } = y^{\prime } \left (3 x -2 y^{\prime }\right )
\]
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\[
{} y^{2} y^{\prime \prime }+{y^{\prime }}^{3} = 0
\]
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\[
{} x^{2} y^{\prime \prime }+{y^{\prime }}^{2} = 0
\]
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\[
{} y^{\prime \prime } = 2 {y^{\prime }}^{3} y
\]
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\[
{} x y^{\prime \prime }+y^{\prime } = 0
\]
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\[
{} \left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }-5 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+\left (x^{2}+6\right ) y = 0
\]
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\[
{} y^{\prime \prime }-y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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\[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 0
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-2 y = 0
\]
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\[
{} y^{\prime \prime }+y^{\prime }-2 y = 0
\]
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\[
{} y^{\prime \prime }+5 y^{\prime }+6 y = 0
\]
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\[
{} y^{\prime \prime }+y^{\prime } = 0
\]
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\[
{} y^{\prime \prime }+{y^{\prime }}^{2} = 0
\]
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\[
{} y^{\prime \prime }+2 x y^{\prime }+\left (x^{2}+1\right ) y = 0
\]
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\[
{} y^{\prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime }-y = 0
\]
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\[
{} x y^{\prime \prime }+3 y^{\prime } = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-4 y = 0
\]
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\[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0
\]
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\[
{} y^{\prime \prime }-\frac {x y^{\prime }}{x -1}+\frac {y}{x -1} = 0
\]
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\[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-x \left (x +2\right ) y^{\prime }+\left (x +2\right ) y = 0
\]
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\[
{} y^{\prime \prime }-x f \left (x \right ) y^{\prime }+f \left (x \right ) y = 0
\]
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\[
{} x y^{\prime \prime }-\left (2 x +1\right ) y^{\prime }+\left (1+x \right ) y = 0
\]
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\[
{} x y^{\prime \prime }-\left (x +n \right ) y^{\prime }+n y = 0
\]
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\[
{} x y^{\prime \prime }-\left (1+x \right ) y^{\prime }+y = 0
\]
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\[
{} x y^{\prime \prime }-\left (x +2\right ) y^{\prime }+2 y = 0
\]
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\[
{} x y^{\prime \prime }-\left (x +3\right ) y^{\prime }+3 y = 0
\]
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\[
{} y^{\prime \prime }-f \left (x \right ) y^{\prime }+\left (f \left (x \right )-1\right ) y = 0
\]
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\[
{} y^{\prime \prime }+y^{\prime }-6 y = 0
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }+8 y = 0
\]
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\[
{} 2 y^{\prime \prime }-4 y^{\prime }+8 y = 0
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 0
\]
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\[
{} y^{\prime \prime }-9 y^{\prime }+20 y = 0
\]
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\[
{} 2 y^{\prime \prime }+2 y^{\prime }+3 y = 0
\]
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\[
{} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0
\]
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\[
{} y^{\prime \prime }+y^{\prime } = 0
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }+25 y = 0
\]
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\[
{} 4 y^{\prime \prime }+20 y^{\prime }+25 y = 0
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+3 y = 0
\]
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\[
{} y^{\prime \prime } = 4 y
\]
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\[
{} 4 y^{\prime \prime }-8 y^{\prime }+7 y = 0
\]
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\[
{} 2 y^{\prime \prime }+y^{\prime }-y = 0
\]
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\[
{} 16 y^{\prime \prime }-8 y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+5 y = 0
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }-5 y = 0
\]
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\[
{} y^{\prime \prime }-5 y^{\prime }+6 y = 0
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }+5 y = 0
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }+9 y = 0
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+5 y = 0
\]
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\[
{} y^{\prime \prime }+4 y^{\prime }+2 y = 0
\]
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\[
{} y^{\prime \prime }+8 y^{\prime }-9 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+10 y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }+10 x y^{\prime }+8 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-12 y = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime }-3 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-6 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }+3 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-16 y = 0
\]
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\[
{} x y^{\prime \prime }+\left (x^{2}-1\right ) y^{\prime }+x^{3} y = 0
\]
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\[
{} y^{\prime \prime }+3 x y^{\prime }+x^{2} y = 0
\]
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\[
{} y^{\prime \prime }+x y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 0
\]
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\[
{} y^{\prime \prime }-2 a y^{\prime }+y a^{2} = 0
\]
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\[
{} x y^{\prime \prime }+\left (3 x -1\right ) y^{\prime }-\left (9+4 x \right ) y = 0
\]
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\[
{} y^{\prime \prime }+x^{2} y = 0
\]
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\[
{} x^{\prime \prime }+\left (5 x^{4}-9 x^{2}\right ) x^{\prime }+x^{5} = 0
\]
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\[
{} t^{2} x^{\prime \prime }-6 t x^{\prime }+12 x = 0
\]
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\[
{} t^{2} x^{\prime \prime }-2 t x^{\prime }+2 x = 0
\]
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\[
{} x^{\prime \prime }-5 x^{\prime }+6 x = 0
\]
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\[
{} x^{\prime \prime }-4 x^{\prime }+4 x = 0
\]
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\[
{} x^{\prime \prime }-4 x^{\prime }+5 x = 0
\]
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\[
{} x^{\prime \prime }+3 x^{\prime } = 0
\]
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\[
{} x^{\prime \prime }-3 x^{\prime }+2 x = 0
\]
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\[
{} x^{\prime \prime }+x = 0
\]
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\[
{} x^{\prime \prime }+2 x^{\prime }+x = 0
\]
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\[
{} x^{\prime \prime }-2 x^{\prime }+2 x = 0
\]
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\[
{} x^{2} y^{\prime \prime }-\frac {x^{2} {y^{\prime }}^{2}}{2 y}+4 x y^{\prime }+4 y = 0
\]
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\[
{} y^{\prime \prime }+\frac {y^{\prime }}{x}+k^{2} y = 0
\]
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\[
{} \cos \left (x \right ) y^{\prime }+\sin \left (x \right ) y^{\prime \prime }+n y \sin \left (x \right ) = 0
\]
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\[
{} v^{\prime \prime } = \left (\frac {1}{v}+{v^{\prime }}^{4}\right )^{{1}/{3}}
\]
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\[
{} \sqrt {y^{\prime }+y} = \left (y^{\prime \prime }+2 x \right )^{{1}/{4}}
\]
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\[
{} \theta ^{\prime \prime } = -p^{2} \theta
\]
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\[
{} y^{\prime \prime } = \frac {m \sqrt {1+{y^{\prime }}^{2}}}{k}
\]
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\[
{} \phi ^{\prime \prime } = \frac {4 \pi n c}{\sqrt {v_{0}^{2}+\frac {2 e \left (\phi -V_{0} \right )}{m}}}
\]
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\[
{} \theta ^{\prime \prime }-p^{2} \theta = 0
\]
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\[
{} y^{\prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime }+12 y = 7 y^{\prime }
\]
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\[
{} r^{\prime \prime }-a^{2} r = 0
\]
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\[
{} y^{\prime \prime } = c \left (1+{y^{\prime }}^{2}\right )
\]
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\[
{} y^{\prime \prime } = c \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}
\]
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\[
{} y^{\prime \prime } = -m^{2} y
\]
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