| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }+\frac {y^{\prime }}{x} = 0
\]
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| \[
{} y^{\prime \prime }+x y = 0
\]
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| \[
{} y+x y^{\prime \prime } = 0
\]
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| \[
{} y+x y^{\prime \prime } = 0
\]
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| \[
{} \left (1-x \right ) y^{\prime \prime }-x y^{\prime }+y \,{\mathrm e}^{x} = 0
\]
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| \[
{} \sin \left (x \right ) y^{\prime \prime }+x y^{\prime }+y = 2
\]
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| \[
{} \left (x^{3}-1\right ) y^{\prime \prime \prime }-3 y^{\prime \prime }+4 x y = 0
\]
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| \[
{} y y^{\prime }+y^{\prime \prime } = 2
\]
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| \[
{} 3 y^{\prime \prime }+y^{\prime }-2 y = 0
\]
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| \[
{} y^{\prime \prime } \cos \left (x \right )+3 y = 1
\]
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| \[
{} y^{\prime \prime }+y^{\prime } \sin \left (x \right )+y \,{\mathrm e}^{x} = 0
\]
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| \[
{} \left (x -1\right ) y^{\prime \prime }+3 y^{\prime } = 0
\]
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| \[
{} 2 x y^{\prime \prime }-7 \cos \left (x \right ) y^{\prime }+y = {\mathrm e}^{-x}
\]
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| \[
{} y^{\prime \prime }+4 \tan \left (x \right ) y^{\prime }-x y = 0
\]
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| \[
{} y^{\prime \prime } \cos \left (x \right )+y = \sin \left (x \right )
\]
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| \[
{} \left (x^{2}-4\right ) y^{\prime \prime }+3 x^{3} y^{\prime }+\frac {4 y}{x -1} = 0
\]
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| \[
{} 4 y+y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }+a^{2} y = 0
\]
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| \[
{} 4 y^{\prime \prime \prime }-2 y^{\prime \prime }+6 y^{\prime }-7 y = 0
\]
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| \[
{} 2 y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime }-y^{\prime \prime }+2 y^{\prime }-y = 0
\]
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| \[
{} y^{\prime \prime \prime }-y^{\prime }+2 y = 0
\]
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| \[
{} y^{\prime \prime }-y^{\prime }+6 y = 0
\]
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| \[
{} 5 y^{\prime \prime \prime }-5 y^{\prime \prime }+y^{\prime }-2 y = 0
\]
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| \[
{} 6 y^{\prime \prime \prime }-4 i y^{\prime \prime }+\left (3+i\right ) y^{\prime }-2 y = 0
\]
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| \[
{} 3 y^{\prime \prime \prime }+4 y^{\prime \prime } = 0
\]
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| \[
{} 6 y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+y^{\prime \prime }-7 y^{\prime }-6 y = 0
\]
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| \[
{} 3 y^{\left (5\right )}-2 y^{\prime \prime \prime \prime }+y^{\prime \prime }-2 y^{\prime } = 0
\]
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| \[
{} 2 y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+3 y = 0
\]
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| \[
{} 6 y-5 y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} 2 y^{\prime \prime }+3 y^{\prime }+y = 0
\]
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| \[
{} 2 y^{\prime \prime }+3 y^{\prime }-2 y = 0
\]
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| \[
{} y^{\prime \prime }+9 y = 0
\]
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| \[
{} 3 y^{\prime \prime }-5 y^{\prime }+3 y = 0
\]
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| \[
{} y^{\prime \prime }+y^{\prime }+y = 0
\]
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| \[
{} 2 y^{\prime \prime }-4 y^{\prime }-y = 0
\]
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| \[
{} 4 y^{\prime \prime }-3 y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+3 y^{\prime }+4 y = 0
\]
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| \[
{} 2 y^{\prime \prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+16 y = 0
\]
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| \[
{} 2 y^{\prime \prime }+14 y^{\prime }+25 y = 0
\]
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| \[
{} y^{\prime \prime }+y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+9 y = 0
\]
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| \[
{} 4 y^{\prime \prime }-8 y^{\prime }+5 y = 0
\]
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| \[
{} 2 y^{\prime \prime }-6 y^{\prime }+5 y = 0
\]
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| \[
{} 4 y+y^{\prime \prime } = 0
\]
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| \[
{} 2 y^{\prime \prime }-6 y^{\prime }+5 y = 0
\]
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| \[
{} y^{\prime \prime }+25 y = 0
\]
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| \[
{} y^{\prime \prime \prime \prime }+13 y^{\prime \prime }+36 y = 0
\]
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| \[
{} 2 y^{\prime \prime }+3 y^{\prime }+y = 0
\]
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| \[
{} 8 y^{\prime \prime }-6 y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+y^{\prime }+y = 0
\]
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| \[
{} 9 y^{\prime \prime }-6 y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+6 y = 0
\]
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| \[
{} y^{\prime \prime }-9 y = 0
\]
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| \[
{} y^{\prime }-3 y = 0
\]
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| \[
{} y^{\prime \prime \prime }-7 y^{\prime \prime }+5 y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+2 y = 0
\]
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| \[
{} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = 0
\]
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| \[
{} y-2 y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime }+y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime }-i y^{\prime }+12 y = 0
\]
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| \[
{} y^{\prime \prime }+3 y = 0
\]
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| \[
{} y^{\prime \prime }-4 y = 0
\]
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| \[
{} y^{\prime \prime \prime }-y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime \prime }-4 y^{\prime \prime }+4 y^{\prime } = 0
\]
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| \[
{} y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y = 0
\]
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| \[
{} 4 y+y^{\prime \prime } = 0
\]
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| \[
{} y^{\prime \prime \prime }-2 y^{\prime \prime }+2 y^{\prime } = 0
\]
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| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = 0
\]
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| \[
{} y^{\prime \prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+6 y^{\prime }+12 y = 0
\]
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| \[
{} y^{\prime \prime }+20 y^{\prime }+64 y = 0
\]
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| \[
{} y^{\prime \prime }+9 y^{\prime }+4 y = 0
\]
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| \[
{} 5 y^{\prime \prime }+10 y^{\prime }+20 y = 0
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = 0
\]
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| \[
{} 6 y^{\prime \prime }+4 y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+5 y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+8 y^{\prime }+16 y = 0
\]
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| \[
{} 4 y^{\prime \prime }+8 y^{\prime }+4 y = 0
\]
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| \[
{} y^{\prime \prime }+y^{\prime }+y = 0
\]
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| \[
{} [x^{\prime \prime }\left (t \right )+y^{\prime }\left (t \right )+6 x \left (t \right ) = 0, y^{\prime \prime }\left (t \right )-x^{\prime }\left (t \right )+6 y \left (t \right ) = 0]
\]
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| \[
{} y^{\prime \prime }-2 r y^{\prime }+\left (r^{2}-\frac {\alpha ^{2}}{4}\right ) y = 0
\]
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| \[
{} y^{\prime \prime }-2 \left (r +\beta \right ) y^{\prime }+r^{2} y = 0
\]
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| \[
{} 5 x^{2} y^{\prime \prime }-3 x y^{\prime }+3 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} 3 x^{2} y^{\prime \prime }+4 x y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+2 y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+4 x y^{\prime }-4 y = 0
\]
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| \[
{} \left (x -1\right )^{2} y^{\prime \prime }+5 \left (x -1\right ) y^{\prime }+4 y = 0
\]
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| \[
{} -3 y+x y^{\prime }+2 x^{2} y^{\prime \prime } = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+5 y = 0
\]
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| \[
{} 2 y-2 x y^{\prime }+3 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+\frac {7 x y^{\prime }}{2}-\frac {3 y}{2} = 0
\]
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| \[
{} \left (x +3\right )^{2} y^{\prime \prime }+3 \left (x +3\right ) y^{\prime }+5 y = 0
\]
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| \[
{} \left (x -2\right )^{2} y^{\prime \prime }-\left (x -2\right ) y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-6 y = 0
\]
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| \[
{} 8 y-8 x y^{\prime }+4 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+2 y = 0
\]
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