| # | ODE | Mathematica | Maple | Sympy |
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{} y^{\prime \prime \prime \prime }+y^{\prime \prime }-20 y = 0
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{} y^{\prime \prime \prime \prime }+5 y^{\prime \prime }+6 y = 0
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{} y^{\prime \prime \prime \prime }-4 y^{\prime \prime \prime }+6 y^{\prime \prime }-8 y^{\prime }+8 y = 0
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{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }-6 y^{\prime }+2 y = 0
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{} y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime }-4 y = 0
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{} 2 y^{\prime \prime \prime }-3 y^{\prime \prime }+10 y^{\prime }-15 y = 0
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{} 2 y^{\prime \prime \prime }-3 y^{\prime \prime }+11 y^{\prime }-40 y = 0
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{} y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+4 y^{\prime \prime }-12 y^{\prime }+16 y = 0
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{} 4 y^{\prime \prime \prime }+12 y^{\prime \prime }-3 y^{\prime }+14 y = 0
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{} y^{\left (5\right )}-y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }-6 y^{\prime \prime }+8 y^{\prime }-8 y = 0
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{} y^{\prime \prime }-4 y = 3 \cos \left (x \right )
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{} y^{\prime \prime }+y = \sin \left (2 x \right )
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{} y^{\prime \prime }+y^{\prime }-2 y = {\mathrm e}^{x}
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{} y^{\prime \prime }+3 y^{\prime }+2 y = {\mathrm e}^{-2 x}
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{} y^{\prime \prime }+y^{\prime }+y = \sin \left (x \right )
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{} y^{\prime \prime }+y^{\prime }+y = x^{2}
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{} y^{\prime \prime }+3 y^{\prime }+2 y = x \,{\mathrm e}^{-x}
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{} y^{\prime \prime \prime \prime }-y = {\mathrm e}^{x}
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{} y^{\prime \prime }-4 y = x +{\mathrm e}^{2 x}
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{} y^{\prime \prime }-9 y = {\mathrm e}^{3 x}+\sin \left (3 x \right )
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{} y^{\prime \prime }-y^{\prime }-6 y = x^{3}
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{} -2 y^{\prime \prime }+3 y = x \,{\mathrm e}^{x}
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{} y^{\prime \prime }+4 y = x \sin \left (x \right )
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{} y^{\prime \prime \prime }-4 y^{\prime \prime } = x^{2}+8
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{} y^{\prime \prime }+y^{\prime }+y = {\mathrm e}^{x} \sin \left (3 x \right )
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-12 y = x +{\mathrm e}^{2 x}
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{} y^{\prime \prime \prime }-4 y^{\prime \prime }+y^{\prime }-4 y = {\mathrm e}^{4 x} \sin \left (x \right )
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{} y^{\prime \prime }+4 y^{\prime }+4 y = x^{3} {\mathrm e}^{2 x}
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{} y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime }-2 y = x \,{\mathrm e}^{2 x}
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{} y^{\prime \prime \prime \prime }+2 n^{2} y^{\prime \prime }+n^{4} y = \sin \left (k x \right )
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{} y^{\prime \prime }+2 n y^{\prime }+n^{2} y = 5 \cos \left (6 x \right )
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{} y^{\prime \prime }+9 y = \left (1+\sin \left (3 x \right )\right ) \cos \left (2 x \right )
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{} 5 y+4 y^{\prime }+y^{\prime \prime } = 2 x -{\mathrm e}^{-4 x}+\sin \left (2 x \right )
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{} y^{\prime \prime \prime }+2 y^{\prime \prime } = \left (2 x^{2}+x \right ) {\mathrm e}^{-2 x}+5 \cos \left (3 x \right )
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{} y^{\prime \prime }+4 y = 8 \sin \left (x \right )^{2}
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{} y^{\prime \prime \prime \prime }+4 y = 5 \,{\mathrm e}^{2 x} \sin \left (3 x \right )
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{} y^{\prime \prime }-5 y^{\prime }-6 y = {\mathrm e}^{3 x}
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{} y^{\prime \prime }+4 y = 12 \cos \left (x \right )^{2}
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{} y^{\prime \prime }-3 y^{\prime }+2 y = x \,{\mathrm e}^{-x}
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{} y^{\prime \prime }+y = {\mathrm e}^{x} \sin \left (x \right )
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{} 2 y^{\prime \prime }+y^{\prime } = 8 \sin \left (2 x \right )+{\mathrm e}^{-x}
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{} y^{\prime \prime }+y = 3 x \sin \left (x \right )
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{} 2 y^{\prime \prime }+5 y^{\prime }-3 y = \sin \left (x \right )-8 x
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{} 8 y^{\prime \prime }-y = x \,{\mathrm e}^{-\frac {x}{2}}
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{} y^{\prime \prime }+y = \sec \left (x \right )
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{} y^{\prime \prime }+4 y^{\prime }+4 y = {\mathrm e}^{x}
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{} y^{\prime \prime }+4 y = x^{2}
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{} y^{\prime \prime }-2 y^{\prime }+y = {\mathrm e}^{2 x}
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{} y^{\prime \prime }+y = 4 \sin \left (2 x \right )
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{} y^{\prime \prime }+4 y = 2 x -2 \sin \left (2 x \right )
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| \[
{} -y+y^{\prime \prime } = 3 x +5 \,{\mathrm e}^{x}
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{} y^{\prime \prime }+9 y = {\mathrm e}^{x}+\sin \left (4 x \right )
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{} y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y^{\prime } = \cos \left (2 x \right )
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{} y^{\prime \prime \prime }+4 y^{\prime \prime }-5 y^{\prime } = {\mathrm e}^{3 x}
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{} y^{\prime \prime }+y = \tan \left (x \right )
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{} y^{\prime \prime }+a^{2} y = \sec \left (a x \right )
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{} y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime } = {\mathrm e}^{2 x}
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{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+y^{\prime \prime } = x^{2}
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }-4 y^{\prime } = {\mathrm e}^{2 x}+\sin \left (x \right )
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{} y^{\prime \prime }-2 y^{\prime }+y = \frac {{\mathrm e}^{x}}{\left (1-x \right )^{2}}
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{} y^{\prime \prime }-3 y^{\prime }+2 y = \sin \left ({\mathrm e}^{-x}\right )
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{} y^{\prime \prime }+4 y = \tan \left (x \right ) \sec \left (x \right )
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{} -2 y+y^{\prime \prime } = \sin \left (2 x \right ) {\mathrm e}^{-x}
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{} y^{\prime \prime }+9 y = \sec \left (x \right ) \csc \left (x \right )
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{} y^{\prime \prime }+9 y = \csc \left (2 x \right )
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{} y^{\prime \prime }+y = \tan \left (\frac {x}{3}\right )^{2}
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{} y^{\prime }+y^{\prime \prime \prime } = \tan \left (x \right )
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{} 4 y^{\prime \prime }-4 y^{\prime }+y = {\mathrm e}^{\frac {x}{2}} \ln \left (x \right )
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{} y^{\prime }+P \left (x \right ) y = Q \left (x \right )
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{} y^{\prime \prime }-6 y^{\prime }+9 y = {\mathrm e}^{3 x}
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{} y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = {\mathrm e}^{x}
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| \[
{} 6 y-5 y^{\prime }+y^{\prime \prime } = x^{2}
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{} y^{\prime \prime }+4 y = 2 \,{\mathrm e}^{x}
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{} y^{\prime \prime }+3 y = 3 \,{\mathrm e}^{-4 x}
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{} y^{\prime \prime }+4 y^{\prime }+4 y = \frac {{\mathrm e}^{x}}{2}+\frac {{\mathrm e}^{-x}}{2}
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{} y^{\prime \prime }+y^{\prime }-2 y = {\mathrm e}^{-2 x}
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{} y^{\prime \prime }+2 y = \sin \left (x \right )
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{} y^{\prime \prime }+4 y^{\prime }+4 y = \frac {{\mathrm e}^{3 x}}{2}-\frac {{\mathrm e}^{-3 x}}{2}
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{} y^{\prime \prime }+3 y^{\prime }-2 y = \sin \left (2 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 \prime }-y = {\mathrm e}^{x}
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{} y^{\prime \prime \prime }-4 y^{\prime \prime }+y^{\prime }-4 y = \sin \left (x \right )-{\mathrm e}^{4 x}
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{} -4 y+3 y^{\prime \prime }+y^{\prime \prime \prime \prime } = 4 \,{\mathrm e}^{x}+3 \cos \left (2 x \right )
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{} y^{\prime \prime }+y = {\mathrm e}^{3 x} \left (1+\sin \left (2 x \right )\right )
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{} y^{\prime \prime }+2 n^{2} y^{\prime }+n^{4} y = \sin \left (k x \right )
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{} 5 y+4 y^{\prime }+y^{\prime \prime } = \frac {{\mathrm e}^{x}}{2}+\frac {{\mathrm e}^{-x}}{2}
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{} y^{\prime \prime }+y^{\prime }-2 y = x \,{\mathrm e}^{-x}
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{} y^{\prime \prime }+4 y = x \,{\mathrm e}^{x}
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{} y^{\prime \prime }+2 y = x^{2} {\mathrm e}^{-x}
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{} y^{\prime \prime }-y^{\prime }-2 y = x^{2}-8
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{} y^{\prime \prime \prime }-y = x^{2}
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{} y^{\prime \prime \prime }+4 y^{\prime \prime }-5 y^{\prime } = x^{2} {\mathrm e}^{-x}
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{} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+y^{\prime \prime } = x^{2}
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{} y^{\prime \prime \prime }-y^{\prime } = {\mathrm e}^{x} \left (\sin \left (x \right )-x^{2}\right )
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{} y^{\prime \prime \prime }-4 y^{\prime \prime } = {\mathrm e}^{2 x} \left (x -3\right )
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{} y^{\prime \prime \prime \prime }-6 y^{\prime \prime \prime }+9 y^{\prime \prime } = \sin \left (3 x \right )+x \,{\mathrm e}^{x}
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{} y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = x^{2} {\mathrm e}^{2 x}
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{} y^{\prime \prime \prime }+2 y^{\prime } = x^{2}+\cos \left (x \right )
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{} y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-y^{\prime }+2 y = \sin \left (2 x \right )
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| \[
{} y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+y^{\prime } = x^{3}-\frac {\cos \left (2 x \right )}{2}
\]
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