| # | ODE | Mathematica | Maple | Sympy |
| \[
{} y^{\prime \prime }-2 y^{\prime }+y = 50 \cosh \left (x \right ) \cos \left (x \right )
\]
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| \[
{} 3 y+2 y^{\prime }+y^{\prime \prime } = 0
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{} y+2 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{-x} \cos \left (x \right )
\]
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| \[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 0
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{} y^{\prime \prime }+2 y^{\prime }+5 y = 8 \sinh \left (x \right )
\]
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| \[
{} \csc \left (a \right )^{2} y-2 \tan \left (a \right ) y^{\prime }+y^{\prime \prime } = 0
\]
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{} \csc \left (a \right )^{2} y-2 \tan \left (a \right ) y^{\prime }+y^{\prime \prime } = {\mathrm e}^{x \tan \left (a \right )} x^{2}
\]
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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 = \cos \left (a x \right )
\]
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{} y^{\prime \prime }+3 y^{\prime }+2 y = {\mathrm e}^{x}+\sin \left (x \right )
\]
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = 2 \,{\mathrm e}^{-x}+x^{2}
\]
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| \[
{} y^{\prime \prime }-3 y^{\prime }+2 y = {\mathrm e}^{a x} x
\]
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| \[
{} -4 y-3 y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} -4 y-3 y^{\prime }+y^{\prime \prime } = 10 \cos \left (2 x \right )
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| \[
{} 4 y-4 y^{\prime }+y^{\prime \prime } = 0
\]
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{} 4 y-4 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{2 x} \cos \left (x \right )^{2}
\]
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| \[
{} 5 y+4 y^{\prime }+y^{\prime \prime } = 0
\]
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{} 5 y+4 y^{\prime }+y^{\prime \prime } = \sin \left (x \right )
\]
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| \[
{} y^{\prime \prime }-4 y^{\prime }+13 y = 0
\]
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{} 6 y-5 y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} 6 y-5 y^{\prime }+y^{\prime \prime } = 4 x^{2} {\mathrm e}^{x}
\]
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{} 6 y-5 y^{\prime }+y^{\prime \prime } = {\mathrm e}^{a x}
\]
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| \[
{} y^{\prime \prime }+6 y^{\prime }+9 y = 0
\]
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{} y^{\prime \prime }+6 y^{\prime }+9 y = \cosh \left (x \right ) {\mathrm e}^{-3 x}
\]
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| \[
{} 12 y-7 y^{\prime }+y^{\prime \prime } = 0
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{} 12 y-7 y^{\prime }+y^{\prime \prime } = x
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| \[
{} 16 y+8 y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} 16 y+8 y^{\prime }+y^{\prime \prime } = 4 \,{\mathrm e}^{x}-{\mathrm e}^{2 x}
\]
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| \[
{} 20 y-9 y^{\prime }+y^{\prime \prime } = 0
\]
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{} 20 y-9 y^{\prime }+y^{\prime \prime } = x^{2} {\mathrm e}^{3 x}
\]
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| \[
{} y b^{2}+2 a y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} y b^{2}+2 a y^{\prime }+y^{\prime \prime } = c \sin \left (k x \right )
\]
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| \[
{} y^{\prime \prime }-2 a y^{\prime }+a^{2} y = {\mathrm e}^{x}
\]
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| \[
{} \left (a^{2}+b^{2}\right )^{2} y-4 a b y^{\prime }+y^{\prime \prime } = 0
\]
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| \[
{} b y+a y^{\prime }+y^{\prime \prime } = 0
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| \[
{} b y+a y^{\prime }+y^{\prime \prime } = f \left (x \right )
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| \[
{} 3 y-10 y^{\prime }+3 y^{\prime \prime } = 0
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{} 3 y-8 y^{\prime }+4 y^{\prime \prime } = 0
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{} y+2 y^{\prime }+4 y^{\prime \prime } = 0
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| \[
{} -y-2 y^{\prime }+4 y^{\prime \prime } = 0
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{} y^{\prime \prime } = 0
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{} y^{\prime \prime } = a y
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{} y^{\prime \prime \prime } = 0
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{} y^{\prime \prime \prime } = \cos \left (x \right )+1
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| \[
{} \sin \left (x \right )+y^{\prime \prime \prime } = 0
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{} y^{\prime \prime \prime } = \sin \left (x \right )^{3}
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| \[
{} y^{\prime \prime \prime } = y
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| \[
{} y^{\prime \prime \prime } = y+x^{2}
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| \[
{} y^{\prime \prime \prime } = x \,{\mathrm e}^{x}+\cos \left (x \right )^{2}+y
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| \[
{} a y+y^{\prime \prime \prime } = 0
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| \[
{} y^{\prime }+y^{\prime \prime \prime } = 0
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| \[
{} y^{\prime \prime \prime } = y^{\prime }
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| \[
{} y^{\prime }+y^{\prime \prime \prime } = x^{3}+\cos \left (x \right )
\]
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{} 4 y-2 y^{\prime }+y^{\prime \prime \prime } = 0
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{} 4 y-2 y^{\prime }+y^{\prime \prime \prime } = {\mathrm e}^{x} \cos \left (x \right )
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| \[
{} 2 y-3 y^{\prime }+y^{\prime \prime \prime } = 0
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{} 2 y-3 y^{\prime }+y^{\prime \prime \prime } = 3 \,{\mathrm e}^{x}
\]
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{} 2 y-3 y^{\prime }+y^{\prime \prime \prime } = x^{2} {\mathrm e}^{x}
\]
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{} -4 y^{\prime }+y^{\prime \prime \prime } = -3 \,{\mathrm e}^{2 x}+x^{2}
\]
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| \[
{} y^{\prime \prime \prime }-7 y^{\prime }+6 y = 0
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{} y^{\prime \prime \prime } = a^{2} y
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| \[
{} y^{\prime }-y^{\prime \prime }+y^{\prime \prime \prime } = 0
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| \[
{} y+y^{\prime }-y^{\prime \prime }+y^{\prime \prime \prime } = 0
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{} -3 y+y^{\prime }+y^{\prime \prime }+y^{\prime \prime \prime } = 0
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{} y^{\prime \prime \prime }-y^{\prime \prime }-2 y^{\prime } = 0
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{} y^{\prime \prime \prime }-y^{\prime \prime }-2 y^{\prime } = {\mathrm e}^{-x}
\]
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{} 4 y+4 y^{\prime }+y^{\prime \prime }+y^{\prime \prime \prime } = 0
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{} 4 y+2 y^{\prime }+y^{\prime \prime }+y^{\prime \prime \prime } = \sin \left (2 x \right )
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{} -15 y-7 y^{\prime }+y^{\prime \prime }+y^{\prime \prime \prime } = 0
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{} y^{\prime }+2 y^{\prime \prime }+y^{\prime \prime \prime } = 0
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{} y^{\prime }+2 y^{\prime \prime }+y^{\prime \prime \prime } = \left (x -1\right ) x
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{} y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime } = {\mathrm e}^{x}
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{} 2 y-y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = \sinh \left (x \right )
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{} -3 y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = 0
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{} -3 y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = 3 x^{2}+\sin \left (x \right )
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{} -3 y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = {\mathrm e}^{-x}+3 x^{2}
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{} 10 y+3 y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = 0
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{} 2 a^{2} y-a^{2} y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = 0
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{} 2 a^{2} y-a^{2} y^{\prime }-2 y^{\prime \prime }+y^{\prime \prime \prime } = \sinh \left (x \right )
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y = 0
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{} y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }-3 y = 0
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }-y^{\prime }+3 y = x^{2}
\]
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{} y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }-3 y = \cosh \left (x \right )
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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 }+3 y^{\prime }+y = x \,{\mathrm e}^{-x}
\]
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = x \left (1-x^{2} {\mathrm e}^{x}\right )
\]
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{} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y = \left (-x^{2}+2\right ) {\mathrm e}^{-x}
\]
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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 }-3 y^{\prime \prime }+4 y^{\prime }-2 y = {\mathrm e}^{x}+\cos \left (x \right )
\]
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{} y^{\prime \prime \prime }-4 y^{\prime \prime }+5 y^{\prime }-2 y = 0
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{} y^{\prime \prime \prime }-4 y^{\prime \prime }+5 y^{\prime }-2 y = x
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{} -4 y+6 y^{\prime }-4 y^{\prime \prime }+y^{\prime \prime \prime } = 0
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{} y^{\prime \prime \prime }-6 y^{\prime \prime }+9 y^{\prime } = 0
\]
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{} y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = x^{2} {\mathrm e}^{2 x}
\]
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| \[
{} -a^{3} y+3 a^{2} y^{\prime }-3 a y^{\prime \prime }+y^{\prime \prime \prime } = 0
\]
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{} -a^{3} y+3 a^{2} y^{\prime }-3 a y^{\prime \prime }+y^{\prime \prime \prime } = {\mathrm e}^{a x}
\]
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{} y^{\prime \prime \prime } = a y^{\prime \prime }
\]
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| \[
{} \operatorname {a3} y+\operatorname {a2} y^{\prime }+\operatorname {a1} y^{\prime \prime }+y^{\prime \prime \prime } = 0
\]
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{} 4 y^{\prime \prime \prime }-3 y^{\prime }+y = 0
\]
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{} -3 y-11 y^{\prime }-8 y^{\prime \prime }+4 y^{\prime \prime \prime } = 0
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