| # | ODE | Mathematica | Maple | Sympy |
| \[
{} \left (3-2 x \right ) y^{\prime \prime }+2 y^{\prime }-2 y = 0
\]
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| \[
{} y^{\prime \prime }-4 x^{2} y = 0
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{} \left (2 x^{2}-1\right ) y^{\prime \prime }+2 x y^{\prime }-3 y = 0
\]
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| \[
{} y^{\prime \prime }+x y^{\prime } = \sin \left (x \right )
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| \[
{} y^{\prime \prime }+y^{\prime }+x y = \cos \left (x \right )
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| \[
{} y^{\prime \prime }+\left (y^{2}-1\right ) y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+\left (\frac {{y^{\prime }}^{2}}{3}-1\right ) y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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| \[
{} 6 y-2 x y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} y-x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime } = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }+9 y = 0
\]
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| \[
{} y^{\prime \prime }-y \cos \left (x \right ) = \sin \left (x \right )
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| \[
{} x^{2} y^{\prime \prime }+6 y = 0
\]
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| \[
{} x \left (1+x \right ) y^{\prime \prime }+\frac {y^{\prime }}{x^{2}}+5 y = 0
\]
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| \[
{} \left (x^{2}-3 x -4\right ) y^{\prime \prime }-y^{\prime } \left (1+x \right )+y \left (x^{2}-1\right ) = 0
\]
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| \[
{} \left (x^{2}-25\right )^{2} y^{\prime \prime }-\left (x +5\right ) y^{\prime }+10 y = 0
\]
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| \[
{} 2 x y^{\prime \prime }-5 y^{\prime }-3 y = 0
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| \[
{} 5 x y^{\prime \prime }+8 y^{\prime }-x y = 0
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| \[
{} 9 x y^{\prime \prime }+14 y^{\prime }+\left (x -1\right ) y = 0
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| \[
{} 7 x y^{\prime \prime }+10 y^{\prime }+\left (-x^{2}+1\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x -1\right ) y = 0
\]
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| \[
{} x y^{\prime \prime }+2 x y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+\frac {8 y^{\prime }}{3 x}-\left (\frac {2}{3 x^{2}}-1\right ) y = 0
\]
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| \[
{} y^{\prime \prime }+\left (\frac {16}{3 x}-1\right ) y^{\prime }-\frac {16 y}{3 x^{2}} = 0
\]
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| \[
{} y^{\prime \prime }+\left (\frac {1}{2 x}-2\right ) y^{\prime }-\frac {35 y}{16 x^{2}} = 0
\]
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| \[
{} y^{\prime \prime }-\left (\frac {1}{x}+2\right ) y^{\prime }+\left (x +\frac {1}{x^{2}}\right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+7 x y^{\prime }-7 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 0
\]
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| \[
{} y^{\prime \prime }+x y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (-k^{2}+x^{2}\right ) y = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+k \left (1+k \right ) y = 0
\]
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| \[
{} \left (1-x \right ) x y^{\prime \prime }+\left (\frac {1}{2}-3 x \right ) y^{\prime }-y = 0
\]
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| \[
{} \left (1-x \right ) x y^{\prime \prime }+y^{\prime }+2 y = 0
\]
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| \[
{} \left (1-x \right ) x y^{\prime \prime }+\left (1-2 x \right ) y^{\prime }+2 y = 0
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| \[
{} x y^{\prime \prime }+\left (1-x \right ) y^{\prime }+k y = 0
\]
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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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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (16 x^{2}-25\right ) y = 0
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| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime }+2 y^{\prime }-3 y = x \,{\mathrm e}^{x}
\]
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| \[
{} \left (2 x^{2}-1\right ) y^{\prime \prime }+2 x y^{\prime }-3 y = 0
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| \[
{} 3 x y^{\prime \prime }+11 y^{\prime }-y = 0
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| \[
{} 2 x^{2} y^{\prime \prime }+5 x y^{\prime }-2 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-7 x y^{\prime }+\left (-2 x^{2}+7\right ) y = 0
\]
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| \[
{} \left (1-x \right ) x y^{\prime \prime }+\left (2 x +1\right ) y^{\prime }+10 y = 0
\]
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| \[
{} x \left (1+x \right ) y^{\prime \prime }+\left (1-2 x \right ) y^{\prime }-10 y = 0
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| \[
{} y^{\prime } = 1-x y
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| \[
{} y^{\prime } = \frac {y-x}{x +y}
\]
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| \[
{} y^{\prime } = \sin \left (x \right ) y
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| \[
{} y^{\prime \prime }+x y = 0
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| \[
{} y^{\prime \prime }-y^{\prime } \sin \left (x \right ) = 0
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| \[
{} x y^{\prime \prime }+\sin \left (x \right ) y = x
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| \[
{} \ln \left (x \right ) y^{\prime \prime }-\sin \left (x \right ) y = 0
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| \[
{} y^{\prime \prime \prime }+x \sin \left (y\right ) = 0
\]
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| \[
{} y^{\prime }-2 x y = 0
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| \[
{} y+x y^{\prime }+y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime }-x y^{\prime }+y = 1
\]
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| \[
{} y^{\prime \prime }-\left (x^{2}+1\right ) y = 0
\]
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| \[
{} y^{\prime \prime } = x^{2} y-y^{\prime }
\]
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| \[
{} y^{\prime \prime }-y \,{\mathrm e}^{x} = 0
\]
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| \[
{} y^{\prime } = {\mathrm e}^{y}+x y
\]
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| \[
{} 4 x y^{\prime \prime }+2 y^{\prime }+y = 0
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| \[
{} y^{\prime } \left (1+x \right )-n y = 0
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| \[
{} 9 \left (1-x \right ) x y^{\prime \prime }-12 y^{\prime }+4 y = 0
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| \[
{} y^{\prime } = 2 x y
\]
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| \[
{} y^{\prime }+y = 1
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| \[
{} x y^{\prime } = y
\]
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| \[
{} x^{2} y^{\prime } = y
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| \[
{} y^{\prime } = 1+y^{2}
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| \[
{} y^{\prime } = x -y
\]
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| \[
{} -2 y+2 x y^{\prime }+\left (x^{2}+1\right ) y^{\prime \prime } = 0
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| \[
{} y+x y^{\prime }+y^{\prime \prime } = 0
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| \[
{} y^{\prime \prime }+y^{\prime }-x y = 0
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| \[
{} y^{\prime \prime }+x y = 0
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| \[
{} n^{2} y-x y^{\prime }+\left (-x^{2}+1\right ) y^{\prime \prime } = 0
\]
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| \[
{} 2 n y-2 x y^{\prime }+y^{\prime \prime } = 0
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| \[
{} x^{3} \left (x -1\right ) y^{\prime \prime }-2 \left (x -1\right ) y^{\prime }+3 x y = 0
\]
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| \[
{} x^{2} \left (x^{2}-1\right )^{2} y^{\prime \prime }-x \left (1-x \right ) y^{\prime }+2 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+\left (2-x \right ) y^{\prime } = 0
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| \[
{} \left (3 x +1\right ) x y^{\prime \prime }-y^{\prime } \left (1+x \right )+2 y = 0
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| \[
{} y^{\prime \prime }+\sin \left (x \right ) y = 0
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| \[
{} x y^{\prime \prime }+\sin \left (x \right ) y = 0
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| \[
{} x^{2} y^{\prime \prime }+\sin \left (x \right ) y = 0
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| \[
{} x^{3} y^{\prime \prime }+\sin \left (x \right ) y = 0
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| \[
{} x^{4} y^{\prime \prime }+\sin \left (x \right ) y = 0
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| \[
{} x^{3} y^{\prime \prime }+\left (-1+\cos \left (2 x \right )\right ) y^{\prime }+2 x y = 0
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| \[
{} 4 x^{2} y^{\prime \prime }+\left (2 x^{4}-5 x \right ) y^{\prime }+\left (3 x^{2}+2\right ) y = 0
\]
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| \[
{} 4 x y^{\prime \prime }+2 y^{\prime }+y = 0
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| \[
{} 2 x y^{\prime \prime }+\left (3-x \right ) y^{\prime }-y = 0
\]
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| \[
{} 2 x y^{\prime \prime }+y^{\prime } \left (1+x \right )+3 y = 0
\]
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| \[
{} 2 x^{2} y^{\prime \prime }+x y^{\prime }-\left (1+x \right ) y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+x^{2} y = 0
\]
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| \[
{} y^{\prime \prime }+\frac {y^{\prime }}{x^{2}}-\frac {y}{x^{3}} = 0
\]
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| \[
{} y^{\prime \prime }+\frac {n y^{\prime }}{x^{2}}+\frac {q y}{x^{3}} = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+\left (4+4 x \right ) y = 0
\]
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| \[
{} 4 x^{2} y^{\prime \prime }-8 x^{2} y^{\prime }+\left (4 x^{2}+1\right ) y = 0
\]
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| \[
{} x y^{\prime \prime }+2 y^{\prime }+x y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x^{2} y^{\prime }+\left (x^{2}-2\right ) y = 0
\]
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| \[
{} x y^{\prime \prime }-y^{\prime }+4 x^{3} y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y \left (x^{2}-1\right ) = 0
\]
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