| # | ODE | Mathematica | Maple | Sympy |
| \[
{} -6 y+6 y^{\prime } \left (1+x \right )-3 x \left (x +2\right ) y^{\prime \prime }+x^{2} \left (3+y\right ) y^{\prime \prime \prime } = 0
\]
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| \[
{} y^{2}-2 y^{\prime \prime \prime }+y^{\prime \prime \prime \prime } = 0
\]
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| \[
{} y^{\prime \prime \prime } = y^{\prime } \left (1+y^{\prime }\right )
\]
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| \[
{} -y y^{\prime }+{y^{\prime }}^{2}+y^{\prime \prime \prime } = 0
\]
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| \[
{} a y y^{\prime \prime }+y^{\prime \prime \prime } = 0
\]
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| \[
{} \left (1-y\right ) y^{\prime }+x {y^{\prime }}^{2}-x \left (1-y\right ) y^{\prime \prime }+x^{2} y^{\prime \prime \prime } = 0
\]
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✓ |
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| \[
{} y^{3} y^{\prime }-y^{\prime } y^{\prime \prime }+y y^{\prime \prime \prime } = 0
\]
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| \[
{} 3 y^{\prime } y^{\prime \prime }+\left (a +y\right ) y^{\prime \prime \prime } = 0
\]
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| \[
{} 3 y^{2}+18 y y^{\prime } x +9 x^{2} {y^{\prime }}^{2}+9 x^{2} y y^{\prime \prime }+3 x^{3} y^{\prime } y^{\prime \prime }+x^{3} y y^{\prime \prime \prime } = 0
\]
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✓ |
✓ |
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| \[
{} 2 {y^{\prime }}^{3}+3 y^{\prime \prime }+6 y y^{\prime } y^{\prime \prime }+\left (x +y^{2}\right ) y^{\prime \prime \prime } = 0
\]
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✓ |
✓ |
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| \[
{} 15 {y^{\prime }}^{3}-18 y y^{\prime } y^{\prime \prime }+4 y^{2} y^{\prime \prime \prime } = 0
\]
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✓ |
✓ |
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| \[
{} 40 {y^{\prime }}^{3}-45 y y^{\prime } y^{\prime \prime }+9 y^{2} y^{\prime \prime \prime } = 0
\]
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✓ |
✓ |
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| \[
{} {y^{\prime }}^{2}+y^{\prime } y^{\prime \prime \prime } = 2 {y^{\prime \prime }}^{2}
\]
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✓ |
✓ |
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| \[
{} 2 y^{\prime } y^{\prime \prime \prime } = 2 {y^{\prime \prime }}^{2}
\]
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✓ |
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| \[
{} \left (1+{y^{\prime }}^{2}\right ) y^{\prime \prime \prime } = 3 y^{\prime } {y^{\prime \prime }}^{2}
\]
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✓ |
✓ |
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| \[
{} \left (1+{y^{\prime }}^{2}\right ) y^{\prime \prime \prime } = \left (a +3 y^{\prime }\right ) {y^{\prime \prime }}^{2}
\]
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| \[
{} y^{\prime \prime } y^{\prime \prime \prime } = a \sqrt {1+b^{2} {y^{\prime \prime }}^{2}}
\]
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| \[
{} \sqrt {1+{y^{\prime \prime }}^{2}}\, \left (1-y^{\prime \prime \prime }\right ) = y^{\prime \prime } y^{\prime \prime \prime }
\]
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✓ |
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| \[
{} 3 y^{\prime \prime } y^{\prime \prime \prime \prime } = 5 {y^{\prime \prime \prime }}^{2}
\]
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✓ |
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| \[
{} 40 {y^{\prime \prime \prime }}^{3}-45 y^{\prime \prime } y^{\prime \prime \prime } y^{\prime \prime \prime \prime }+9 {y^{\prime \prime }}^{2} y^{\left (5\right )} = 0
\]
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✓ |
✓ |
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| \[
{} x y^{\prime \prime \prime }-{y^{\prime }}^{4}+y = 0
\]
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| \[
{} 3 {y^{\prime \prime }}^{2}-y^{\prime } y^{\prime \prime \prime }-y^{\prime \prime } {y^{\prime }}^{2} = 0
\]
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| \[
{} a y^{\prime \prime } y^{\prime \prime \prime } = \sqrt {1+{y^{\prime \prime }}^{2}}
\]
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✓ |
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| \[
{} y^{\prime \prime \prime }-a^{2} \left ({y^{\prime }}^{5}+2 {y^{\prime }}^{3}+y^{\prime }\right ) = 0
\]
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| \[
{} y^{\prime \prime \prime }-y y^{\prime \prime }+{y^{\prime }}^{2} = 0
\]
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| \[
{} a y y^{\prime \prime }+y^{\prime \prime \prime } = 0
\]
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| \[
{} x^{2} y^{\prime \prime \prime }+x \left (y-1\right ) y^{\prime \prime }+x {y^{\prime }}^{2}+\left (1-y\right ) y^{\prime } = 0
\]
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✓ |
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| \[
{} y^{3} y^{\prime }-y^{\prime } y^{\prime \prime }+y y^{\prime \prime \prime } = 0
\]
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✓ |
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| \[
{} 15 {y^{\prime }}^{3}-18 y y^{\prime } y^{\prime \prime }+4 y^{2} y^{\prime \prime \prime } = 0
\]
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✓ |
✓ |
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| \[
{} 40 {y^{\prime }}^{3}-45 y y^{\prime } y^{\prime \prime }+9 y^{2} y^{\prime \prime \prime } = 0
\]
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✓ |
✓ |
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| \[
{} \left (1+{y^{\prime }}^{2}\right ) y^{\prime \prime \prime }-3 y^{\prime } {y^{\prime \prime }}^{2} = 0
\]
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✓ |
✓ |
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| \[
{} \left (1+{y^{\prime }}^{2}\right ) y^{\prime \prime \prime }-\left (a +3 y^{\prime }\right ) {y^{\prime \prime }}^{2} = 0
\]
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✓ |
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| \[
{} y^{\prime \prime } y^{\prime \prime \prime }-a \sqrt {1+b^{2} {y^{\prime \prime }}^{2}} = 0
\]
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✓ |
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| \[
{} y^{\prime } y^{\prime \prime \prime \prime }-y^{\prime \prime } y^{\prime \prime \prime }+{y^{\prime }}^{3} y^{\prime \prime \prime } = 0
\]
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| \[
{} 3 y^{\prime \prime } y^{\prime \prime \prime \prime }-5 {y^{\prime \prime \prime }}^{2} = 0
\]
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| \[
{} 9 {y^{\prime \prime }}^{2} y^{\left (5\right )}-45 y^{\prime \prime } y^{\prime \prime \prime } y^{\prime \prime \prime \prime }+40 y^{\prime \prime \prime } = 0
\]
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✓ |
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| \[
{} y^{\prime \prime \prime } = f \left (y\right )
\]
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| \[
{} 2 x^{3} y y^{\prime \prime \prime }+6 x^{3} y^{\prime } y^{\prime \prime }+18 x^{2} y y^{\prime \prime }+18 x^{2} {y^{\prime }}^{2}+36 y y^{\prime } x +6 y^{2} = 0
\]
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✓ |
✓ |
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| \[
{} 6 y^{\prime \prime } y^{\prime \prime \prime \prime }-5 {y^{\prime \prime \prime }}^{2} = 0
\]
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| \[
{} y^{\prime \prime \prime } = {y^{\prime \prime }}^{2}
\]
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✓ |
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| \[
{} y^{\prime } y^{\prime \prime \prime }-3 {y^{\prime \prime }}^{2} = 0
\]
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| \[
{} y^{\prime \prime \prime } = 2 \sqrt {y^{\prime \prime }}
\]
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| \[
{} y y^{\prime \prime \prime }+6 y^{\prime \prime }+3 y^{\prime } = y
\]
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| \[
{} y^{\prime \prime \prime } = \sqrt {1-{y^{\prime \prime }}^{2}}
\]
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| \[
{} y^{\prime \prime \prime }+{y^{\prime \prime }}^{2} = 0
\]
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| \[
{} y^{\prime \prime \prime } = 3 y y^{\prime }
\]
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| \[
{} a^{3} y^{\prime \prime \prime } y^{\prime \prime } = \sqrt {1+c^{2} {y^{\prime \prime }}^{2}}
\]
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| \[
{} y^{\prime \prime \prime } = \sqrt {1+{y^{\prime \prime }}^{2}}
\]
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| \[
{} y^{\prime \prime }-x y^{\prime \prime \prime }+{y^{\prime \prime \prime }}^{3} = 0
\]
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| \[
{} 5 {y^{\prime \prime \prime }}^{2}-3 y^{\prime \prime } y^{\prime \prime \prime \prime } = 0
\]
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✓ |
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| \[
{} 40 {y^{\prime \prime \prime }}^{3}-45 y^{\prime \prime } y^{\prime \prime \prime } y^{\prime \prime \prime \prime }+9 {y^{\prime \prime }}^{2} y^{\left (5\right )} = 0
\]
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✓ |
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| \[
{} y^{\prime } y^{\prime \prime \prime }-3 {y^{\prime \prime }}^{2}+3 y^{\prime \prime } {y^{\prime }}^{2}-2 {y^{\prime }}^{4}-x {y^{\prime }}^{5} = 0
\]
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✓ |
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| \[
{} y^{2} y^{\prime \prime \prime }-\left (3 y y^{\prime }+2 x y^{2}\right ) y^{\prime \prime }+\left (2 {y^{\prime }}^{2}+2 y y^{\prime } x +3 x^{2} y^{2}\right ) y^{\prime }+x^{3} y^{3} = 0
\]
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✓ |
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| \[
{} y^{2}+\left (2 x y-1\right ) y^{\prime }+x y^{\prime \prime }+x^{2} y^{\prime \prime \prime } = 0
\]
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| \[
{} y^{\prime \prime \prime \prime }+x y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-x y^{\prime }+\sin \left (y\right ) = 0
\]
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| \[
{} {y^{\prime \prime \prime }}^{2} = {y^{\prime \prime }}^{3}
\]
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| \[
{} 3 x y^{\prime \prime \prime }-4 x y = \cos \left (y\right )
\]
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| \[
{} y^{\prime \prime \prime \prime }+y^{4} = 0
\]
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