| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }+\frac {k x}{y^{4}} = 0
\]
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| \[
{} y^{\prime \prime }+2 x y^{\prime }+2 y = 0
\]
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| \[
{} x y^{\prime \prime }+y^{\prime } \sin \left (x \right )+y \cos \left (x \right ) = 0
\]
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| \[
{} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}+2\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x^{2} y^{\prime }+2 \left (1-x \right ) y = 0
\]
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| \[
{} \ln \left (x^{2}+1\right ) y^{\prime \prime }+\frac {4 x y^{\prime }}{x^{2}+1}+\frac {\left (-x^{2}+1\right ) y}{\left (x^{2}+1\right )^{2}} = 0
\]
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| \[
{} x y^{\prime \prime }+x^{2} y^{\prime }+2 x y = 0
\]
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| \[
{} \left (x \cos \left (y\right )+\sin \left (x \right )\right ) y^{\prime \prime }-x {y^{\prime }}^{2} \sin \left (y\right )+2 \left (\cos \left (y\right )+\cos \left (x \right )\right ) y^{\prime } = \sin \left (x \right ) y
\]
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| \[
{} \left (1-y\right ) y^{\prime \prime }-{y^{\prime }}^{2} = 0
\]
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| \[
{} y^{\prime \prime }+\frac {2 x y^{\prime }}{2 x -1}-\frac {4 x y}{\left (2 x -1\right )^{2}} = 0
\]
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| \[
{} \left (x^{2}+2 x \right ) y^{\prime \prime }+\left (x^{2}+x +10\right ) y^{\prime } = \left (25-6 x \right ) y
\]
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| \[
{} y^{\prime \prime }+\frac {y^{\prime }}{1+x}-\frac {\left (x +2\right ) y}{x^{2} \left (1+x \right )} = 0
\]
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| \[
{} \left (x^{2}-x \right ) y^{\prime \prime }+\left (2 x^{2}+4 x -3\right ) y^{\prime }+8 x y = 0
\]
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| \[
{} \left (2 \sin \left (x \right )-\cos \left (x \right )\right ) y^{\prime \prime }+\left (7 \sin \left (x \right )+4 \cos \left (x \right )\right ) y^{\prime }+10 y \cos \left (x \right ) = 0
\]
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| \[
{} y^{\prime \prime }+9 y = 0
\]
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| \[
{} 4 y^{\prime \prime }-4 y^{\prime }+5 y = 0
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime }-4 y^{\prime }+5 y = 0
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-6 y = 0
\]
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| \[
{} 4 y^{\prime \prime }-4 y^{\prime }+37 y = 0
\]
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| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = 0
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 0
\]
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| \[
{} 4 y^{\prime \prime }-12 y^{\prime }+13 y = 0
\]
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| \[
{} y^{\prime \prime }+4 y^{\prime }+13 y = 0
\]
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| \[
{} y^{\prime \prime }+6 y^{\prime }+9 y = 0
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+5 y = 0
\]
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| \[
{} y^{\prime \prime }-20 y^{\prime }+51 y = 0
\]
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| \[
{} 2 y^{\prime \prime }+3 y^{\prime }+y = 0
\]
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| \[
{} 3 y^{\prime \prime }+8 y^{\prime }-3 y = 0
\]
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| \[
{} 2 y^{\prime \prime }+20 y^{\prime }+51 y = 0
\]
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| \[
{} 4 y^{\prime \prime }+40 y^{\prime }+101 y = 0
\]
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| \[
{} y^{\prime \prime }+6 y^{\prime }+34 y = 0
\]
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| \[
{} \left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} x y^{\prime \prime }+2 y^{\prime }+x y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x \left (x -\frac {1}{2}\right ) y^{\prime }+\frac {y}{2} = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x \left (1+x \right ) y^{\prime }-y = 0
\]
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| \[
{} y^{\prime \prime }-x^{2} y = 0
\]
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| \[
{} x y^{\prime \prime }+y^{\prime }+y = 0
\]
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| \[
{} x y^{\prime \prime }+x^{2} y = 0
\]
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| \[
{} y^{\prime \prime }+\alpha ^{2} y = 0
\]
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| \[
{} y^{\prime \prime }-\alpha ^{2} y = 0
\]
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| \[
{} y^{\prime \prime }+\beta y^{\prime }+\gamma y = 0
\]
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| \[
{} n \left (n +1\right ) y-2 x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime } = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }-a^{2} y = 0
\]
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| \[
{} y^{\prime \prime }+\frac {2 y^{\prime }}{x} = 0
\]
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| \[
{} y^{\prime \prime } = \frac {1}{2 y^{\prime }}
\]
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| \[
{} y^{\prime \prime } = a^{2} y
\]
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| \[
{} y^{\prime \prime } = \frac {a}{y^{3}}
\]
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| \[
{} -{y^{\prime }}^{2}+{y^{\prime }}^{3}+y y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime } = \frac {1}{2 y^{\prime }}
\]
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| \[
{} y^{\prime \prime } = 9 y
\]
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| \[
{} y^{\prime \prime }+y = 0
\]
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| \[
{} -y+y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }+12 y = 7 y^{\prime }
\]
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| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+10 y = 0
\]
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| \[
{} y^{\prime \prime }+3 y^{\prime }-2 y = 0
\]
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| \[
{} 4 y^{\prime \prime }-12 y^{\prime }+9 y = 0
\]
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| \[
{} y^{\prime \prime }+y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+2 h y^{\prime }+n^{2} y = 0
\]
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| \[
{} x^{\prime \prime }+x-x^{3} = 0
\]
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| \[
{} x^{\prime \prime }+x+x^{3} = 0
\]
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| \[
{} x^{\prime \prime }+x^{\prime }+x-x^{3} = 0
\]
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| \[
{} x^{\prime \prime }+x^{\prime }+x+x^{3} = 0
\]
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| \[
{} x^{\prime \prime } = \left (2 \cos \left (x\right )-1\right ) \sin \left (x\right )
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
\]
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| \[
{} 2 x^{2} y^{\prime \prime }+3 x y^{\prime }-y = 0
\]
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-2 y = 0
\]
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| \[
{} 2 x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
\]
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| \[
{} y^{\prime \prime }-3 y^{\prime }-10 y = 0
\]
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| \[
{} y+2 y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime } = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+6 x y^{\prime }+4 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-5 x y^{\prime }+9 y = 0
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-6 y = 0
\]
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| \[
{} -y+y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
\]
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| \[
{} -y+y^{\prime \prime } = 0
\]
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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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| \[
{} 2 y y^{\prime \prime }-{y^{\prime }}^{2} = 0
\]
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| \[
{} -y+y^{\prime \prime } = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} 4 y^{\prime \prime }+4 y^{\prime }-3 y = 0
\]
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| \[
{} y^{\prime \prime }+\alpha y = 0
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+5 y = 0
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
\]
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| \[
{} y^{\prime \prime }-6 y^{\prime }-7 y = 0
\]
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| \[
{} y^{\prime \prime }-y^{\prime }-12 y = 0
\]
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| \[
{} y^{\prime \prime }+5 y^{\prime }+6 y = 0
\]
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