| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} \tan \left (t \right ) x^{\prime \prime }-3 x^{\prime }+\left (\tan \left (t \right )+3 \cot \left (t \right )\right ) x = 0
\]
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{} y^{\prime \prime }-y^{\prime }-6 y = {\mathrm e}^{x}
\]
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| \[
{} x^{\prime \prime }-x = \frac {1}{t}
\]
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| \[
{} y^{\prime \prime }+4 y = \cot \left (2 x \right )
\]
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| \[
{} t^{2} x^{\prime \prime }-2 x = t^{3}
\]
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{} x^{\prime \prime }-4 x^{\prime } = \tan \left (t \right )
\]
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| \[
{} \left (\tan \left (x \right )^{2}-1\right ) y^{\prime \prime }-4 \tan \left (x \right )^{3} y^{\prime }+2 y \sec \left (x \right )^{4} = \left (\tan \left (x \right )^{2}-1\right ) \left (1-2 \sin \left (x \right )^{2}\right )
\]
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| \[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
\]
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| \[
{} 4 x^{2} y^{\prime \prime }+y = 0
\]
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| \[
{} t^{2} x^{\prime \prime }-5 t x^{\prime }+10 x = 0
\]
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| \[
{} t^{2} x^{\prime \prime }+t x^{\prime }-x = 0
\]
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| \[
{} x^{2} z^{\prime \prime }+3 x z^{\prime }+4 z = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }-3 y = 0
\]
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| \[
{} 4 t^{2} x^{\prime \prime }+8 t x^{\prime }+5 x = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-5 x y^{\prime }+5 y = 0
\]
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| \[
{} 3 x^{2} z^{\prime \prime }+5 x z^{\prime }-z = 0
\]
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| \[
{} t^{2} x^{\prime \prime }+3 t x^{\prime }+13 x = 0
\]
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| \[
{} a y^{\prime \prime }+\left (-a +b \right ) y^{\prime }+c y = 0
\]
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| \[
{} y^{\prime \prime }-6 y^{\prime }+10 y = 100
\]
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| \[
{} x^{\prime \prime }+x = \sin \left (t \right )-\cos \left (2 t \right )
\]
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| \[
{} y^{\prime \prime }+y = \frac {1}{\sin \left (x \right )^{3}}
\]
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| \[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 2
\]
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| \[
{} y^{\prime \prime }+y = \cosh \left (x \right )
\]
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| \[
{} x^{\prime \prime }-4 x^{\prime }+4 x = {\mathrm e}^{t}+{\mathrm e}^{2 t}+1
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (9 x^{2}-\frac {1}{25}\right ) y = 0
\]
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| \[
{} y^{\prime \prime }+y = 1-\frac {1}{\sin \left (x \right )}
\]
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| \[
{} u^{\prime \prime }+\frac {2 u^{\prime }}{r} = 0
\]
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| \[
{} x^{\prime \prime }+9 x = t \sin \left (3 t \right )
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+y = \sinh \left (x \right )
\]
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| \[
{} y^{\prime \prime }-2 y^{\prime }+2 y = x \,{\mathrm e}^{x} \cos \left (x \right )
\]
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| \[
{} \left (x^{2}-1\right ) y^{\prime \prime }-6 y = 1
\]
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| \[
{} \left (1+x \right )^{2} y^{\prime \prime }+y^{\prime } \left (1+x \right )+y = 2 \cos \left (\ln \left (1+x \right )\right )
\]
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| \[
{} x^{3} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} {y^{\prime \prime }}^{3}+y^{\prime \prime }+1 = x
\]
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| \[
{} x^{\prime \prime }+10 x^{\prime }+25 x = 2^{t}+t \,{\mathrm e}^{-5 t}
\]
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| \[
{} y^{\prime \prime }+y = \sin \left (3 x \right ) \cos \left (x \right )
\]
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| \[
{} y^{\prime \prime }+x^{2} y = 0
\]
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| \[
{} 2 y^{\prime \prime }+3 y^{\prime }+4 x^{2} y = 1
\]
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{} x^{2} y^{\prime \prime }-y = \sin \left (x \right )^{2}
\]
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| \[
{} y^{\prime \prime } = y+x^{2}
\]
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| \[
{} y^{\prime \prime }+4 y^{\prime }+y = 0
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| \[
{} 2 y^{\prime \prime }-3 y^{\prime }-2 y = 0
\]
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| \[
{} \left (x -3\right ) y^{\prime \prime }+y \ln \left (x \right ) = x^{2}
\]
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| \[
{} y^{\prime \prime }+\tan \left (x \right ) y^{\prime }+y \cot \left (x \right ) = 0
\]
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| \[
{} \left (x^{2}+1\right ) y^{\prime \prime }+\left (x -1\right ) y^{\prime }+y = 0
\]
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| \[
{} x y^{\prime \prime }+2 x^{2} y^{\prime }+\sin \left (x \right ) y = \sinh \left (x \right )
\]
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| \[
{} \sin \left (x \right ) y^{\prime \prime }+x y^{\prime }+7 y = 1
\]
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| \[
{} y^{\prime \prime }-\left (x -1\right ) y^{\prime }+x^{2} y = \tan \left (x \right )
\]
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| \[
{} \left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = 0
\]
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| \[
{} x^{2} y^{\prime \prime }-4 x^{2} y^{\prime }+\left (x^{2}+1\right ) y = 0
\]
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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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| \[
{} y^{\prime \prime }+2 x^{2} y^{\prime }+4 x y = 2 x
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }+\left (1-x \right ) y^{\prime }+y = 1-2 x
\]
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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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| \[
{} y^{\prime \prime }+x^{2} y^{\prime }+2 x y = 2 x
\]
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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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| \[
{} y^{\prime \prime }+y^{\prime } \sin \left (x \right )+y \cos \left (x \right ) = \cos \left (x \right )
\]
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| \[
{} -\csc \left (x \right )^{2} y+\cot \left (x \right ) y^{\prime }+y^{\prime \prime } = \cos \left (x \right )
\]
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| \[
{} x \ln \left (x \right ) y^{\prime \prime }+2 y^{\prime }-\frac {y}{x} = 1
\]
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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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| \[
{} \frac {\left (x^{2}-x \right ) y^{\prime \prime }}{x}+\frac {\left (3 x +1\right ) y^{\prime }}{x}+\frac {y}{x} = 3 x
\]
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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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| \[
{} y^{\prime \prime }+\frac {\left (x -1\right ) y^{\prime }}{x}+\frac {y}{x^{3}} = \frac {{\mathrm e}^{-\frac {1}{x}}}{x^{3}}
\]
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| \[
{} y^{\prime \prime }+\left (2 x +5\right ) y^{\prime }+\left (4 x +8\right ) y = {\mathrm e}^{-2 x}
\]
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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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| \[
{} y^{\prime \prime }+2 y^{\prime }+3 y = 9 t
\]
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| \[
{} 4 y^{\prime \prime }+16 y^{\prime }+17 y = 17 t -1
\]
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| \[
{} 4 y^{\prime \prime }+5 y^{\prime }+4 y = 3 \,{\mathrm e}^{-t}
\]
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| \[
{} y^{\prime \prime }-4 y^{\prime }+4 y = {\mathrm e}^{2 t} t^{2}
\]
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| \[
{} y^{\prime \prime }+9 y = {\mathrm e}^{-2 t}
\]
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| \[
{} 2 y^{\prime \prime }-3 y^{\prime }+17 y = 17 t -1
\]
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{} y^{\prime \prime }+2 y^{\prime }+y = {\mathrm e}^{-t}
\]
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{} y^{\prime \prime }-2 y^{\prime }+5 y = t +2
\]
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{} y^{\prime \prime }+8 y^{\prime }+20 y = \sin \left (2 t \right )
\]
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| \[
{} 4 y^{\prime \prime }-4 y^{\prime }+y = t^{2}
\]
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| \[
{} 2 y^{\prime \prime }+y^{\prime }-y = 4 \sin \left (t \right )
\]
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