| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = {\mathrm e}^{x}
\]
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{} y^{\prime \prime }-3 y^{\prime }+2 y = {\mathrm e}^{x}
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{} y^{\prime \prime }+y = \frac {1}{x}
\]
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{} y^{\prime \prime }+y = \cos \left (x \right )
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{} y^{\prime \prime }-3 y = x \ln \left (x \right )
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{} 4 y^{\prime \prime }+7 y^{\prime }+3 y = 5 \cos \left (t \right )
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| \[
{} e i u^{\prime \prime \prime \prime } = \cos \left (x \right )
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{} e i u^{\prime \prime \prime \prime } = {\mathrm e}^{-x}
\]
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{} e i u^{\prime \prime \prime \prime } = \sinh \left (x \right )
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| \[
{} e i u^{\prime \prime \prime \prime } = 1
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{} e i u^{\prime \prime \prime \prime } = x^{2}
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{} e i u^{\prime \prime \prime \prime } = x^{4}
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{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{a x}
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{} y^{\prime \prime }+y = \sin \left (a x \right )
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{} y^{\prime \prime }+y = \tan \left (x \right )
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{} y^{\prime \prime }+y = \sec \left (x \right )
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{} y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{x}}{x}
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{} y^{\prime \prime }+10 y^{\prime }+25 y = \frac {{\mathrm e}^{-5 x} \ln \left (x \right )}{x^{2}}
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{} y^{\prime \prime }+6 y^{\prime }+9 y = \frac {{\mathrm e}^{-3 x}}{x^{3}}
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{} y^{\prime \prime }+y = \csc \left (x \right ) \cot \left (x \right )
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{} y^{\prime \prime }-12 y^{\prime }+36 y = {\mathrm e}^{6 x} \ln \left (x \right )
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| \[
{} 5 y+4 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{-2 x} \sec \left (x \right )
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{} y^{\prime \prime }+y = \sec \left (x \right )^{3}
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| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = \frac {{\mathrm e}^{2 x}}{x^{4}}
\]
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{} y+2 y^{\prime }+y^{\prime \prime } = \frac {{\mathrm e}^{-x} \ln \left (x \right )}{x^{2}}
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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 }+y = \csc \left (x \right )
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{} y^{\prime \prime }+y = \tan \left (x \right )
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{} y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{x}}{x}
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{} y^{\prime \prime }+6 y^{\prime }+9 y = \frac {{\mathrm e}^{-3 x}}{x^{3}}
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{} y^{\prime \prime }+y = \sec \left (x \right )^{3}
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| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = \frac {{\mathrm e}^{2 x}}{x^{4}}
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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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| \[
{} x^{\prime \prime }+2 x^{\prime }+x = -\frac {{\mathrm e}^{-t}}{\left (t +1\right )^{2}}
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| \[
{} y^{\prime \prime }+4 y = 4 \cos \left (2 t \right )
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| \[
{} y^{\prime \prime }+3 y^{\prime }-4 y = 0
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{} y^{\prime \prime }+2 y^{\prime }+y = 2 t \,{\mathrm e}^{-t}
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| \[
{} y^{\prime \prime }+3 y^{\prime }+2 y = 0
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{} y^{\prime \prime }-y = 6 \,{\mathrm e}^{t}
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{} y^{\prime \prime }-4 y = -3 \,{\mathrm e}^{t}
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{} y^{\prime \prime }+10 y^{\prime }+25 y = 2 \,{\mathrm e}^{-5 t}
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{} y^{\prime \prime \prime }-27 y = 0
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| \[
{} y^{\prime \prime }-9 y^{\prime }+18 y = 54
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{} y^{\prime \prime }-9 y = 20 \cos \left (t \right )
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{} y^{\prime \prime }+9 y = {\mathrm e}^{t}
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{} y^{\prime \prime }-3 y^{\prime }+2 y = 24 \cosh \left (t \right )
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{} y^{\prime \prime }+10 y^{\prime }+26 y = 37 \,{\mathrm e}^{t}
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| \[
{} y^{\prime \prime \prime }-y = -1
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{} y^{\prime \prime \prime }+y = -1
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{} y^{\prime \prime }+6 y^{\prime }+9 y = 27 t
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{} y^{\prime \prime }-y^{\prime }-6 y = \cos \left (t \right )+57 \sin \left (t \right )
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{} y^{\prime \prime }-3 y^{\prime }-4 y = 25 t \,{\mathrm e}^{-t}
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| \[
{} y^{\prime \prime }+13 y^{\prime }+36 y = 10-72 t
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| \[
{} y^{\prime \prime }+2 y^{\prime }-15 y = 16 t \,{\mathrm e}^{-t}-15
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| \[
{} y^{\prime \prime }-10 y^{\prime }+21 y = 21 t^{2}+t +13
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{} y^{\prime \prime }+7 y^{\prime }+10 y = 3 \,{\mathrm e}^{-2 t}-6 \,{\mathrm e}^{-5 t}
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{} 4 y^{\prime \prime }-3 y^{\prime }-y = 34 \sin \left (t \right )
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{} y^{\prime \prime \prime }-y = 12 \sinh \left (t \right )
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| \[
{} y^{\prime \prime }+2 y^{\prime }-3 y = 3 t^{3}-9 t^{2}-5 t +1
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{} y^{\prime \prime }+4 y^{\prime }+5 y = 39 \,{\mathrm e}^{t} \sin \left (t \right )
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| \[
{} 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 \prime }+y = 18 \,{\mathrm e}^{2 t}
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{} y^{\prime \prime \prime }+8 y = -12 \,{\mathrm e}^{-2 t}
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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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{} 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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| \[
{} y^{\prime \prime }+y = 2 x -1
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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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{} y^{\prime \prime \prime \prime }-4 y^{\prime \prime } = 0
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{} y^{\prime \prime \prime }+4 y^{\prime } = 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+y^{\prime \prime } = 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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