| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }+y = \tan \left (x \right ) \sec \left (x \right )
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{} y^{\prime \prime }+y = \sec \left (x \right ) \csc \left (x \right )
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime } = 0
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-2 y = 0
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{} y^{\prime \prime \prime }-y = 0
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{} y^{\prime \prime \prime }+y = 0
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{} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = 0
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{} y^{\prime \prime \prime \prime }+4 y^{\prime \prime \prime }+6 y^{\prime \prime }+4 y^{\prime }+y = 0
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{} y^{\prime \prime \prime \prime }-y = 0
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{} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+4 y = 0
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{} a^{4} y+2 a^{2} y^{\prime \prime }+y^{\prime \prime \prime \prime } = 0
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{} a^{4} y+2 a^{2} y^{\prime \prime }+y^{\prime \prime \prime \prime } = 0
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{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+2 y^{\prime \prime }+2 y^{\prime }+y = 0
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{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }-2 y^{\prime \prime }-6 y^{\prime }+5 y = 0
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{} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0
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{} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-5 y^{\prime }-2 y = 0
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{} y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+48 y^{\prime \prime }+16 y^{\prime }-96 y = 0
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{} y^{\prime \prime \prime \prime } = 0
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{} y^{\prime \prime \prime \prime } = \sin \left (x \right )+24
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime } = 10+42 \,{\mathrm e}^{3 x}
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{} y^{\prime \prime \prime }-y^{\prime } = 1
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{} y^{\prime \prime }-4 y = {\mathrm e}^{2 x}
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{} -y+y^{\prime \prime } = x^{2} {\mathrm e}^{2 x}
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{} y^{\prime \prime }+4 y^{\prime }+4 y = 10 x^{3} {\mathrm e}^{-2 x}
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{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{x}
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{} -y+y^{\prime \prime } = {\mathrm e}^{-x}
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{} y^{\prime \prime }-2 y^{\prime }-3 y = 6 \,{\mathrm e}^{5 x}
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{} y^{\prime \prime }-y^{\prime }+y = x^{3}-3 x^{2}+1
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{} y^{\prime \prime \prime }-2 y^{\prime }+y = 2 x^{3}-3 x^{2}+4 x +5
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{} 4 y^{\prime \prime }+y = x^{4}
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{} y^{\left (5\right )}-y^{\prime \prime \prime } = x^{2}
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{} y^{\left (6\right )}-y = x^{10}
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{} y^{\prime \prime }+y^{\prime }-y = -x^{4}+3 x
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{} y^{\prime \prime }+y = x^{4}
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| \[
{} y^{\prime \prime \prime }-y^{\prime \prime } = 12 x -2
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{} y^{\prime \prime \prime }+y^{\prime \prime } = 9 x^{2}-2 x +1
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{} y^{\prime \prime }-4 y^{\prime }+3 y = x^{3} {\mathrm e}^{2 x}
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{} 12 y-7 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{2 x} \left (x^{3}-5 x^{2}\right )
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{} y+2 y^{\prime }+y^{\prime \prime } = 2 x^{2} {\mathrm e}^{-2 x}+3 \,{\mathrm e}^{2 x}
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{} y^{\prime \prime \prime }-8 y = 16 x^{2}
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{} y^{\prime \prime \prime \prime }-y = -x^{3}+1
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{} y^{\prime \prime \prime }-\frac {y^{\prime }}{4} = x
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{} y^{\prime \prime \prime \prime } = \frac {1}{x^{3}}
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{} y^{\prime }-y^{\prime \prime }+y^{\prime \prime \prime } = 1+x
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{} y^{\prime \prime \prime }+2 y^{\prime \prime } = x
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{} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = {\mathrm e}^{2 x}
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{} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = 12 \,{\mathrm e}^{-x}
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{} 4 y-4 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{2 x} \sin \left (x \right )
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{} 4 y-4 y^{\prime }+y^{\prime \prime } = 0
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{} y^{\prime \prime }+2 y^{\prime }+2 y = 2
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{} y^{\prime \prime }+y^{\prime } = 3 x^{2}
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{} y^{\prime \prime }+2 y^{\prime }+5 y = 3 \,{\mathrm e}^{-x} \sin \left (x \right )
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{} y^{\prime \prime }-2 a y^{\prime }+a^{2} y = 0
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{} y^{\prime \prime }+a^{2} y = f \left (x \right )
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{} y^{\prime \prime }+5 y^{\prime }+6 y = 4 \,{\mathrm e}^{3 t}
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{} y^{\prime \prime }+y^{\prime }-6 y = t
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{} y^{\prime \prime }-y^{\prime } = t^{2}
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{} y^{\prime \prime }+3 y^{\prime }+2 y = f \left (t \right )
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{} x^{\prime \prime }-5 x^{\prime }+6 x = 0
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{} x^{\prime \prime }-4 x^{\prime }+4 x = 0
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{} x^{\prime \prime }-4 x^{\prime }+5 x = 0
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{} x^{\prime \prime }+3 x^{\prime } = 0
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{} x^{\prime \prime }-3 x^{\prime }+2 x = 0
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{} x^{\prime \prime }+x = 0
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{} x^{\prime \prime }+2 x^{\prime }+x = 0
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{} x^{\prime \prime }-2 x^{\prime }+2 x = 0
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{} x^{\prime \prime }-x = t^{2}
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{} x^{\prime \prime }-x = {\mathrm e}^{t}
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{} x^{\prime \prime }+2 x^{\prime }+4 x = {\mathrm e}^{t} \cos \left (2 t \right )
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{} x^{\prime \prime }-x^{\prime }+x = \sin \left (2 t \right )
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{} x^{\prime \prime }+4 x^{\prime }+3 x = t \sin \left (t \right )
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{} x^{\prime \prime }+x = \cos \left (t \right )
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{} \theta ^{\prime \prime } = -p^{2} \theta
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{} \theta ^{\prime \prime }-p^{2} \theta = 0
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{} y^{\prime \prime }+y = 0
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{} y^{\prime \prime }+12 y = 7 y^{\prime }
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{} r^{\prime \prime }-a^{2} r = 0
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{} y^{\prime \prime \prime \prime }-a^{4} y = 0
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{} v^{\prime \prime }-6 v^{\prime }+13 v = {\mathrm e}^{-2 u}
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{} y^{\prime \prime }+4 y^{\prime }-y = \sin \left (t \right )
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{} y^{\prime \prime }+3 y = \sin \left (x \right )+\frac {\sin \left (3 x \right )}{3}
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{} x^{\prime \prime \prime \prime }-6 x^{\prime \prime \prime }+11 x^{\prime \prime }-6 x^{\prime } = {\mathrm e}^{-3 t}
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{} y^{\prime \prime \prime }-y^{\prime \prime }-y^{\prime }+y = 0
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{} y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime } = {\mathrm e}^{2 x}
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{} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y = \cos \left (x \right )
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{} y^{\prime \prime } = -m^{2} y
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{} y^{\prime \prime }+4 y^{\prime }+3 y = 2 \,{\mathrm e}^{2 x}
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{} y^{\prime \prime }+3 y^{\prime }+2 y = 0
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{} y^{\prime \prime }+2 y^{\prime }-2 y = 0
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime } = 0
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{} 2 y^{\prime \prime \prime }+y^{\prime \prime }-4 y^{\prime }-3 y = 0
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 0
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{} y^{\prime \prime \prime }+3 y^{\prime \prime }+y^{\prime }-5 y = 0
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{} 2 y^{\prime \prime \prime }-3 y^{\prime \prime }+2 y^{\prime }+2 y = 0
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{} y^{\prime \prime \prime \prime }-y = 0
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{} y+2 y^{\prime \prime }+y^{\prime \prime \prime \prime } = 0
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{} y^{\prime \prime }+4 y^{\prime }+3 y = 2 \,{\mathrm e}^{2 x}
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{} y^{\prime \prime \prime }+4 y^{\prime \prime }+3 y^{\prime } = x^{2}
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{} y^{\prime \prime }-4 y^{\prime }+2 y = x
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{} y^{\prime \prime }+3 y^{\prime }-y = {\mathrm e}^{x}
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