| # | ODE | Mathematica | Maple | Sympy |
| \[
{} x^{3} y^{\prime \prime \prime }+7 x^{2} y^{\prime \prime }+8 x y^{\prime } = \ln \left (x \right )^{2}
\]
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| \[
{} x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = x^{3}
\]
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✓ |
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✓ |
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| \[
{} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-4 x y^{\prime }+4 y = \ln \left (x \right )
\]
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✓ |
✓ |
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| \[
{} \left (x^{3}+x^{2}-3 x +1\right ) y^{\prime \prime \prime }+\left (9 x^{2}+6 x -9\right ) y^{\prime \prime }+\left (18 x +6\right ) y^{\prime }+6 y = x^{3}
\]
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✓ |
✓ |
✗ |
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| \[
{} 4 y^{\prime }+5 x y^{\prime \prime }+x^{2} y^{\prime \prime \prime } = -\frac {1}{x^{2}}
\]
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✓ |
✓ |
✓ |
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| \[
{} y^{\prime \prime \prime }-\frac {4 y^{\prime \prime }}{x}+\frac {5 y^{\prime }}{x^{2}}-\frac {2 y}{x^{3}} = 1
\]
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✓ |
✓ |
✓ |
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| \[
{} 2 y+2 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 10 c +\frac {10}{x}
\]
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✓ |
✓ |
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| \[
{} 16 \left (1+x \right )^{4} y^{\prime \prime \prime \prime }+96 \left (1+x \right )^{3} y^{\prime \prime \prime }+104 \left (1+x \right )^{2} y^{\prime \prime }+8 y^{\prime } \left (1+x \right )+y = x^{2}+4 x +3
\]
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✓ |
✓ |
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| \[
{} y+3 x y^{\prime }+9 x^{2} y^{\prime \prime }+6 x^{3} y^{\prime \prime \prime }+x^{4} y^{\prime \prime \prime \prime } = \left (\ln \left (x \right )+1\right )^{2}
\]
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✓ |
✓ |
✓ |
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| \[
{} x y-x^{2} y^{\prime }+2 x^{3} y^{\prime \prime }+x^{4} y^{\prime \prime \prime } = 1
\]
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✓ |
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✓ |
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| \[
{} x^{2} y^{\prime \prime \prime \prime }+1 = 0
\]
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✓ |
✓ |
✓ |
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| \[
{} x^{2} y^{\prime \prime \prime }-4 x y^{\prime \prime }+6 y^{\prime } = 4
\]
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✓ |
✓ |
✓ |
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| \[
{} x^{3} y^{\prime \prime \prime }+4 x^{2} y^{\prime \prime }+x \left (x^{2}+2\right ) y^{\prime }+3 x^{2} y = 2 x
\]
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✓ |
✓ |
✗ |
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| \[
{} \left (x^{3}-x \right ) y^{\prime \prime \prime }+\left (8 x^{2}-3\right ) y^{\prime \prime }+14 x y^{\prime }+4 y = \frac {2}{x^{3}}
\]
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✓ |
✓ |
✗ |
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| \[
{} y^{\prime \prime \prime }+y^{\prime \prime } \cos \left (x \right )-2 y^{\prime } \sin \left (x \right )-y \cos \left (x \right ) = \sin \left (2 x \right )
\]
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✓ |
✓ |
✗ |
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| \[
{} x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = \ln \left (x \right )^{2}
\]
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✓ |
✓ |
✓ |
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| \[
{} y^{\prime \prime \prime }-\frac {4 y^{\prime \prime }}{x}+\frac {5 y^{\prime }}{x^{2}}-\frac {2 y}{x^{3}} = 1
\]
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✓ |
✓ |
✓ |
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| \[
{} x^{2} y^{\prime \prime \prime }+3 x y^{\prime \prime }+2 y^{\prime } = x
\]
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✓ |
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| \[
{} y+3 x y^{\prime }+9 x^{2} y^{\prime \prime }+6 x^{3} y^{\prime \prime \prime }+x^{4} y^{\prime \prime \prime \prime } = 4 x
\]
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✓ |
✓ |
✓ |
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| \[
{} x^{3} y^{\prime \prime \prime }+6 x^{2} y^{\prime \prime }+8 x y^{\prime }+2 y = x^{2}+3 x -4
\]
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✓ |
✓ |
✓ |
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| \[
{} -8 y+7 x y^{\prime }-3 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = x^{2}+\frac {1}{x^{2}}
\]
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✓ |
✓ |
✓ |
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| \[
{} x^{4} y^{\prime \prime \prime \prime }+2 x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-x y^{\prime }+y = x +\ln \left (x \right )
\]
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✓ |
✓ |
✓ |
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| \[
{} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-x y^{\prime }+y = x \ln \left (x \right )
\]
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✓ |
✓ |
✓ |
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| \[
{} y+3 x y^{\prime }+9 x^{2} y^{\prime \prime }+6 x^{3} y^{\prime \prime \prime }+x^{4} y^{\prime \prime \prime \prime } = \left (\ln \left (x \right )+1\right )^{2}
\]
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✓ |
✓ |
✓ |
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| \[
{} x^{3} y^{\prime \prime \prime }+6 x^{2} y^{\prime \prime }+8 x y^{\prime }+2 y = x^{2}+3 x -4
\]
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✓ |
✓ |
✓ |
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| \[
{} 3 x y+y^{\prime } \left (x^{2}+2\right )+4 x y^{\prime \prime }+x^{2} y^{\prime \prime \prime } = 2
\]
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✓ |
✓ |
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| \[
{} x^{5} y^{\left (6\right )}+x^{4} y^{\left (5\right )}+x y^{\prime }+y = \ln \left (x \right )
\]
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✗ |
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| \[
{} x^{3} y^{\prime \prime \prime }+4 x^{2} y^{\prime \prime }+x \left (x^{2}+2\right ) y^{\prime }+3 x^{2} y = 2 x
\]
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✓ |
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| \[
{} x^{3} y^{\prime \prime \prime } = 1
\]
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✓ |
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| \[
{} y^{\prime \prime \prime } \csc \left (x \right )^{2} = 1
\]
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✓ |
✓ |
✓ |
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| \[
{} x^{2} y^{\prime \prime \prime }-4 x y^{\prime \prime }+6 y^{\prime } = 4
\]
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✓ |
✓ |
✓ |
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| \[
{} x^{2} y^{\prime \prime \prime \prime }+1 = 0
\]
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✓ |
✓ |
✓ |
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| \[
{} \left (x^{3}-4 x \right ) y^{\prime \prime \prime }+\left (9 x^{2}-4\right ) y^{\prime \prime }+18 x y^{\prime }+6 y = 6
\]
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✓ |
✓ |
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| \[
{} x y-x^{2} y^{\prime }+2 x^{3} y^{\prime \prime }+x^{4} y^{\prime \prime \prime } = 1
\]
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✓ |
✓ |
✓ |
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| \[
{} -2 y+2 x y^{\prime }-x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = x^{2}+3 x
\]
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✓ |
✓ |
✓ |
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| \[
{} 2 y+2 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 10 x +\frac {10}{x}
\]
|
✓ |
✓ |
✓ |
|
| \[
{} 16 \left (1+x \right )^{4} y^{\prime \prime \prime \prime }+96 \left (1+x \right )^{3} y^{\prime \prime \prime }+104 \left (1+x \right )^{2} y^{\prime \prime }+8 y^{\prime } \left (1+x \right )+y = x^{2}+4 x +3
\]
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✓ |
✓ |
✗ |
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| \[
{} \left (x^{3}-x \right ) y^{\prime \prime \prime }+\left (8 x^{2}-3\right ) y^{\prime \prime }+14 x y^{\prime }+4 y = \frac {2}{x^{3}}
\]
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✓ |
✓ |
✗ |
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| \[
{} y^{\prime \prime \prime }+y^{\prime \prime } \cos \left (x \right )-2 y^{\prime } \sin \left (x \right )-y \cos \left (x \right ) = \sin \left (2 x \right )
\]
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✓ |
✓ |
✗ |
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| \[
{} x^{3} y^{\prime \prime \prime }-4 x^{2} y^{\prime \prime }+8 x y^{\prime }-8 y = 4 \ln \left (x \right )
\]
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✓ |
✓ |
✓ |
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| \[
{} y^{\prime \prime \prime }-5 x y^{\prime } = {\mathrm e}^{x}+1
\]
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✓ |
✓ |
✓ |
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| \[
{} x^{4} y^{\prime \prime \prime \prime }+x y^{\prime \prime \prime } = {\mathrm e}^{x}
\]
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✓ |
✓ |
✗ |
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| \[
{} y^{\prime \prime \prime \prime }+x^{2} y^{\prime \prime \prime }+x y^{\prime \prime }-{\mathrm e}^{x} y^{\prime }+2 y = x^{2}+x +1
\]
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✗ |
✗ |
✗ |
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| \[
{} y^{\prime \prime \prime }+\left (x^{2}-1\right ) y^{\prime \prime }-2 y^{\prime }+y = 5 \sin \left (x \right )
\]
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✗ |
✗ |
✗ |
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| \[
{} x^{3} y^{\prime \prime \prime } = 1+\sqrt {x}
\]
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✓ |
✓ |
✓ |
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| \[
{} x y^{\prime \prime \prime }+y^{\prime \prime } = 1
\]
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✓ |
✓ |
✓ |
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| \[
{} 2 x y^{\prime \prime }+x^{2} y^{\prime \prime \prime } = 1
\]
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✓ |
✓ |
✓ |
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| \[
{} x^{4} y^{\prime \prime \prime }+1 = 0
\]
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✓ |
✓ |
✓ |
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| \[
{} 3 x^{2} y^{\prime \prime }+x^{3} y^{\prime \prime \prime } = 1+x
\]
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✓ |
✓ |
✓ |
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| \[
{} -y+x y^{\prime }+x^{3} y^{\prime \prime \prime } = x \ln \left (x \right )
\]
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✓ |
✓ |
✓ |
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| \[
{} x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }+7 x^{2} y^{\prime \prime }+x y^{\prime }-y = 1
\]
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✓ |
✓ |
✓ |
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| \[
{} x^{2} y^{\prime \prime \prime }-x y^{\prime \prime }+y^{\prime } = \frac {\ln \left (x \right )}{x}
\]
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✓ |
✓ |
✓ |
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| \[
{} x y^{\prime \prime \prime }+2 x y^{\prime \prime }-x y^{\prime }-2 x y = 1
\]
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✓ |
✓ |
✓ |
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| \[
{} y^{\prime \prime \prime }+x^{2} y = {\mathrm e}^{x}
\]
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✓ |
✓ |
✗ |
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| \[
{} x y^{\prime \prime \prime }+4 x y^{\prime \prime }-x y = 1
\]
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✓ |
✓ |
✗ |
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| \[
{} y^{\prime \prime \prime }-3 x y^{\prime \prime }+4 y = x^{2}
\]
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✗ |
✗ |
✗ |
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| \[
{} 3 x y^{\prime \prime \prime }+5 y^{\prime \prime }+6 y^{\prime } = 3 \cos \left (x \right )
\]
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✓ |
✓ |
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