| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 8 \,{\mathrm e}^{t}+5 t
\]
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| \[
{} y^{\prime \prime }-4 y^{\prime }+4 y = 3 t \,{\mathrm e}^{2 t}-4
\]
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| \[
{} y^{\prime \prime }-y = 2 t^{2}+2 \,{\mathrm e}^{-t}
\]
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| \[
{} y^{\prime \prime }+7 y^{\prime }+6 y = 250 \,{\mathrm e}^{t} \cos \left (t \right )
\]
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| \[
{} y^{\prime \prime }+4 y^{\prime }+13 y = 13 t +17+40 \sin \left (t \right )
\]
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| \[
{} y^{\prime \prime }+9 y = 0
\]
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| \[
{} y^{\prime \prime }+9 y = 0
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| \[
{} y^{\prime \prime }+9 y = 0
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| \[
{} y^{\prime \prime }+9 y = 0
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| \[
{} y^{\prime \prime }+9 y = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = {\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 0
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 0
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| \[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+3 y = \ln \left (x \right )
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| \[
{} y^{\prime \prime } = 0
\]
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| \[
{} -\frac {u^{\prime \prime }}{2} = x
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| \[
{} -\frac {u^{\prime \prime }}{2} = x
\]
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| \[
{} x y^{\prime \prime }-2 y^{\prime } \left (1+x \right )+\left (x +2\right ) y = 1
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y = 0
\]
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| \[
{} y^{\prime \prime }+y = 2 x -1
\]
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| \[
{} \left (2 x +1\right ) y^{\prime \prime }+y^{\prime } = 0
\]
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| \[
{} x y^{\prime \prime } = x^{2}+1
\]
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| \[
{} \left (x +2\right ) y^{\prime \prime }-y^{\prime } \left (1+x \right )+x = 0
\]
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| \[
{} \left (-x^{2}+1\right ) y^{\prime \prime }+x y^{\prime } = 2 x
\]
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| \[
{} 6 y^{\prime \prime }+11 y^{\prime }+4 y = 2
\]
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{} 3 y^{\prime \prime }-4 y^{\prime }+y = {\mathrm e}^{x}
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| \[
{} y^{\prime \prime }-k^{2} y = 0
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| \[
{} y^{\prime \prime }+k^{2} y = 0
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| \[
{} \sin \left (x \right ) y^{\prime \prime } = y^{\prime }
\]
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| \[
{} x^{2} y^{\prime \prime }-2 y = 0
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| \[
{} y^{\prime \prime }-5 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 y^{\prime }-4 y = 0
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| \[
{} y^{\prime \prime }-y = 0
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| \[
{} y^{\prime \prime }+y = 0
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| \[
{} y^{\prime \prime }+y^{\prime }-y = 0
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| \[
{} y^{\prime \prime }+k y^{\prime }+L y = 0
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| \[
{} y^{\prime \prime }+\frac {327 y^{\prime }}{100}-\frac {21 y}{50} = 0
\]
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| \[
{} y^{\prime \prime }+5 y^{\prime }-6 y = x^{3}
\]
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| \[
{} y^{\prime \prime }+4 y^{\prime }+4 y = x^{2}-2 x +1
\]
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| \[
{} y^{\prime \prime }+4 y = 1-x
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| \[
{} y^{\prime \prime }+y^{\prime } = 4
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{} y^{\prime \prime }+y^{\prime }+y = {\mathrm e}^{x}
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{} y^{\prime \prime }+y^{\prime }-2 y = 2 \,{\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }-9 y = {\mathrm e}^{x}+3 \,{\mathrm e}^{-3 x}
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 1+2 x +3 \,{\mathrm e}^{x}
\]
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| \[
{} y^{\prime \prime }-\left (m_{1} +m_{2} \right ) y^{\prime }+m_{1} m_{2} y = {\mathrm e}^{m x}
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{} y^{\prime \prime }-2 y^{\prime }-3 y = {\mathrm e}^{-2 x}
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{} y^{\prime \prime }-4 y^{\prime }+4 y = x +{\mathrm e}^{2 x}
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| \[
{} y^{\prime \prime }-y = 4 \,{\mathrm e}^{-x}
\]
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| \[
{} y^{\prime \prime }+y = \sec \left (x \right )
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{} y^{\prime \prime }+y = \csc \left (x \right )^{2}
\]
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| \[
{} y^{\prime \prime }-4 y^{\prime }+4 y = \frac {{\mathrm e}^{2 x}}{x}
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-y = x^{2}
\]
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| \[
{} x^{2} y^{\prime \prime }+x y^{\prime }-y = x^{2}
\]
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| \[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = x
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{} x^{2} y^{\prime \prime }-x y^{\prime }+y = x
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{} y^{\prime \prime }+2 y^{\prime }+y = {\mathrm e}^{3 x} \sin \left (3 x \right )
\]
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{} y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{x} \ln \left (x \right )}{x}
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{} y^{\prime \prime }-4 y^{\prime }+5 y = {\mathrm e}^{2 x} \sec \left (x \right )^{2}
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| \[
{} y^{\prime \prime }+y = \cos \left (x \right )
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{} y^{\prime \prime }+y = \sin \left (x \right )
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{} y^{\prime \prime }-3 y^{\prime }+2 y = x \,{\mathrm e}^{x}
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| \[
{} y^{\prime \prime }+2 y^{\prime }-2 y = x^{2}+4 x +3
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| \[
{} y^{\prime \prime }+3 y = -x^{6}+x^{4}
\]
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{} y^{\prime \prime }+5 y^{\prime }+6 y = x^{2}
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{} y^{\prime \prime }-6 y^{\prime }+8 y = x^{2} {\mathrm e}^{x}
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{} 6 x^{2} y^{\prime \prime }-5 x y^{\prime }+4 y = 0
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{} x^{2} y^{\prime \prime }+3 x y^{\prime }+y = 0
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| \[
{} x \left (1+x \right ) y^{\prime \prime }+\left (-x^{2}+2\right ) y^{\prime }-\left (x +2\right ) y = 0
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| \[
{} x^{2} y^{\prime \prime }+x^{2} y^{\prime }-x 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^{\prime }+\left (3 x -9\right ) y = 0
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| \[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 6
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{} x^{2} y^{\prime \prime }+x^{2} y^{\prime }-x y = 2 x
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| \[
{} y^{\prime \prime }+p \left (x \right ) y^{\prime }+q \left (x \right ) y = 0
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{} x \left (x -1\right ) y^{\prime \prime }+\left (-x^{2}+2 x +1\right ) y^{\prime }-\left (1+x \right ) y = 0
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| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 2 \,{\mathrm e}^{x}
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{} y^{\prime \prime }+y = x \sin \left (x \right )
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{} y^{\prime \prime }+3 y^{\prime }+2 y = 4 x^{2}
\]
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{} y^{\prime \prime }+9 y = 3 x -6
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{} y^{\prime \prime }+2 y^{\prime } = 2 x
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{} y^{\prime \prime }+y = x^{2}
\]
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{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{x} \cos \left (x \right )
\]
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{} x^{2} y^{\prime \prime }-x y^{\prime }+2 y = \ln \left (x \right )
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{} y^{\prime \prime }+y^{\prime } = x +{\mathrm e}^{-x}
\]
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{} y^{\prime \prime }+y^{\prime }-2 y = \ln \left (x \right )+1
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{} y^{\prime \prime }+3 y^{\prime }-4 y = 12 \,{\mathrm e}^{2 x}
\]
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{} y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{2 x}}{\left ({\mathrm e}^{x}+1\right )^{2}}
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| \[
{} y^{\prime \prime }+i y = \cosh \left (x \right )
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{} y^{\prime \prime }+4 y = x -4
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{} y^{\prime \prime }-4 y^{\prime }-5 y = x^{2} {\mathrm e}^{-x}
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{} y^{\prime \prime }-y^{\prime }-y = \sinh \left (x \right )
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{} y^{\prime \prime }+y = \cot \left (x \right )
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| \[
{} x^{2} y^{\prime \prime }+a x y^{\prime }+b y = f \left (x \right )
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{} y^{\prime \prime }-y^{\prime }-2 y = 0
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{} y^{\prime \prime }+3 y^{\prime } = 0
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{} y^{\prime \prime }-y^{\prime }-6 y = 0
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{} y^{\prime \prime }+5 y^{\prime }+6 y = 0
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| \[
{} y^{\prime \prime }-4 a y^{\prime }+3 a^{2} y = 0
\]
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