| # | ODE | Mathematica | Maple | Sympy |
| \[
{} a^{2} \left (b^{2}-\left (c x -a y\right )^{2}\right ) {y^{\prime }}^{2}+2 a \,b^{2} c y^{\prime }+c^{2} \left (b^{2}-\left (c x -a y\right )^{2}\right ) = 0
\]
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| \[
{} x y^{2} {y^{\prime }}^{2}-y^{3} y^{\prime }+a^{2} x = 0
\]
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| \[
{} x y^{2} {y^{\prime }}^{2}+\left (a -x^{3}-y^{3}\right ) y^{\prime }+x^{2} y = 0
\]
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| \[
{} 2 x y^{2} {y^{\prime }}^{2}-y^{3} y^{\prime }-a = 0
\]
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| \[
{} 4 y^{2} {y^{\prime }}^{2} x^{2} = \left (x^{2}+y^{2}\right )^{2}
\]
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| \[
{} 4 y^{3} {y^{\prime }}^{2}-4 x y^{\prime }+y = 0
\]
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| \[
{} 3 x y^{4} {y^{\prime }}^{2}-y^{5} y^{\prime }+1 = 0
\]
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| \[
{} 9 x y^{4} {y^{\prime }}^{2}-3 y^{5} y^{\prime }-a = 0
\]
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| \[
{} 9 \left (-x^{2}+1\right ) y^{4} {y^{\prime }}^{2}+6 x y^{5} y^{\prime }+4 x^{2} = 0
\]
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| \[
{} {y^{\prime }}^{3} = b x +a
\]
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| \[
{} {y^{\prime }}^{3} = a \,x^{n}
\]
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| \[
{} {y^{\prime }}^{3}+x -y = 0
\]
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| \[
{} {y^{\prime }}^{3} = \left (a +b y+c y^{2}\right ) f \left (x \right )
\]
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| \[
{} {y^{\prime }}^{3} = \left (y-a \right )^{2} \left (y-b \right )^{2}
\]
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| \[
{} {y^{\prime }}^{3}+f \left (x \right ) \left (y-a \right )^{2} \left (y-b \right )^{2} = 0
\]
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| \[
{} {y^{\prime }}^{3}+f \left (x \right ) \left (y-a \right )^{2} \left (y-b \right )^{2} \left (y-c \right )^{2} = 0
\]
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| \[
{} {y^{\prime }}^{3}+y^{\prime }+a -b x = 0
\]
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| \[
{} {y^{\prime }}^{3}+y^{\prime }-y = 0
\]
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| \[
{} {y^{\prime }}^{3}+y^{\prime } = {\mathrm e}^{y}
\]
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| \[
{} {y^{\prime }}^{3}-7 y^{\prime }+6 = 0
\]
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| \[
{} {y^{\prime }}^{3}-x y^{\prime }+a y = 0
\]
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| \[
{} {y^{\prime }}^{3}+2 x y^{\prime }-y = 0
\]
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| \[
{} {y^{\prime }}^{3}-2 x y^{\prime }-y = 0
\]
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| \[
{} {y^{\prime }}^{3}-a x y^{\prime }+x^{3} = 0
\]
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| \[
{} {y^{\prime }}^{3}+a x y^{\prime }-a y = 0
\]
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| \[
{} {y^{\prime }}^{3}-\left (b x +a \right ) y^{\prime }+b y = 0
\]
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| \[
{} {y^{\prime }}^{3}-2 y y^{\prime }+y^{2} = 0
\]
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| \[
{} {y^{\prime }}^{3}-a x y y^{\prime }+2 a y^{2} = 0
\]
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| \[
{} {y^{\prime }}^{3}-y^{4} y^{\prime } x -y^{5} = 0
\]
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| \[
{} {y^{\prime }}^{3}+{\mathrm e}^{3 x -2 y} \left (y^{\prime }-1\right ) = 0
\]
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| \[
{} {y^{\prime }}^{3}+{\mathrm e}^{-2 y} \left ({\mathrm e}^{2 x}+{\mathrm e}^{3 x}\right ) y^{\prime }-{\mathrm e}^{3 x -2 y} = 0
\]
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| \[
{} {y^{\prime }}^{3}+{y^{\prime }}^{2}-y = 0
\]
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| \[
{} {y^{\prime }}^{3}-{y^{\prime }}^{2}+y^{2} = 0
\]
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| \[
{} {y^{\prime }}^{3}-{y^{\prime }}^{2}+x y^{\prime }-y = 0
\]
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| \[
{} {y^{\prime }}^{3}-a {y^{\prime }}^{2}+b y+a b x = 0
\]
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| \[
{} {y^{\prime }}^{3}+a_{0} {y^{\prime }}^{2}+a_{1} y^{\prime }+a_{2} +a_{3} y = 0
\]
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| \[
{} {y^{\prime }}^{3}+\left (1-3 x \right ) {y^{\prime }}^{2}-x \left (1-3 x \right ) y^{\prime }-1-x^{3} = 0
\]
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| \[
{} {y^{\prime }}^{3}-y {y^{\prime }}^{2}+y^{2} = 0
\]
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| \[
{} {y^{\prime }}^{3}+\left (\cos \left (x \right ) \cot \left (x \right )-y\right ) {y^{\prime }}^{2}-\left (1+y \cos \left (x \right ) \cot \left (x \right )\right ) y^{\prime }+y = 0
\]
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| \[
{} {y^{\prime }}^{3}+\left (2 x -y^{2}\right ) {y^{\prime }}^{2}-2 x y^{2} y^{\prime } = 0
\]
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| \[
{} {y^{\prime }}^{3}-\left (y^{2}+2 x \right ) {y^{\prime }}^{2}+\left (x^{2}-y^{2}+2 x y^{2}\right ) y^{\prime }-\left (x^{2}-y^{2}\right ) y^{2} = 0
\]
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| \[
{} {y^{\prime }}^{3}-\left (x^{2}+x y+y^{2}\right ) {y^{\prime }}^{2}+x y \left (x^{2}+x y+y^{2}\right ) y^{\prime }-x^{3} y^{3} = 0
\]
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| \[
{} {y^{\prime }}^{3}-\left (x^{2}+x y^{2}+y^{4}\right ) {y^{\prime }}^{2}+x y^{2} \left (x^{2}+x y^{2}+y^{4}\right ) y^{\prime }-x^{3} y^{6} = 0
\]
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| \[
{} 2 {y^{\prime }}^{3}+x y^{\prime }-2 y = 0
\]
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| \[
{} 2 {y^{\prime }}^{3}+{y^{\prime }}^{2}-y = 0
\]
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| \[
{} 3 {y^{\prime }}^{3}-x^{4} y^{\prime }+2 x^{3} y = 0
\]
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| \[
{} 4 {y^{\prime }}^{3}+4 y^{\prime } = x
\]
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| \[
{} 8 {y^{\prime }}^{3}+12 {y^{\prime }}^{2} = 27 x +27 y
\]
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| \[
{} x {y^{\prime }}^{3}-y {y^{\prime }}^{2}+a = 0
\]
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| \[
{} x {y^{\prime }}^{3}-\left (x +x^{2}+y\right ) {y^{\prime }}^{2}+\left (x^{2}+y+x y\right ) y^{\prime }-x y = 0
\]
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| \[
{} x {y^{\prime }}^{3}-2 y {y^{\prime }}^{2}+4 x^{2} = 0
\]
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| \[
{} 2 x {y^{\prime }}^{3}-3 y {y^{\prime }}^{2}-x = 0
\]
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| \[
{} 4 x {y^{\prime }}^{3}-6 y {y^{\prime }}^{2}-x +3 y = 0
\]
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| \[
{} 8 x {y^{\prime }}^{3}-12 y {y^{\prime }}^{2}+9 y = 0
\]
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| \[
{} x^{2} {y^{\prime }}^{3}-2 x y {y^{\prime }}^{2}+y^{2} y^{\prime }+1 = 0
\]
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| \[
{} \left (a^{2}-x^{2}\right ) {y^{\prime }}^{3}+b x \left (a^{2}-x^{2}\right ) {y^{\prime }}^{2}-y^{\prime }-b x = 0
\]
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| \[
{} x {y^{\prime }}^{3}-3 y {y^{\prime }}^{2} x^{2}+x \left (x^{5}+3 y^{2}\right ) y^{\prime }-2 x^{5} y-y^{3} = 0
\]
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| \[
{} 2 {y^{\prime }}^{3} x^{3}+6 y {y^{\prime }}^{2} x^{2}-\left (1-6 x y\right ) y y^{\prime }+2 y^{3} = 0
\]
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| \[
{} {y^{\prime }}^{3} x^{4}-y {y^{\prime }}^{2} x^{3}-x^{2} y^{2} y^{\prime }+x y^{3} = 1
\]
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| \[
{} x^{6} {y^{\prime }}^{3}-x y^{\prime }-y = 0
\]
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| \[
{} {y^{\prime }}^{3} y-3 x y^{\prime }+3 y = 0
\]
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| \[
{} 2 {y^{\prime }}^{3} y-3 x y^{\prime }+2 y = 0
\]
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| \[
{} \left (2 y+x \right ) {y^{\prime }}^{3}+3 \left (x +y\right ) {y^{\prime }}^{2}+\left (y+2 x \right ) y^{\prime } = 0
\]
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| \[
{} y^{2} {y^{\prime }}^{3}-x y^{\prime }+y = 0
\]
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| \[
{} y^{2} {y^{\prime }}^{3}+2 x y^{\prime }-y = 0
\]
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| \[
{} 4 y^{2} {y^{\prime }}^{3}-2 x y^{\prime }+y = 0
\]
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| \[
{} 16 y^{2} {y^{\prime }}^{3}+2 x y^{\prime }-y = 0
\]
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| \[
{} x y^{2} {y^{\prime }}^{3}-y^{3} {y^{\prime }}^{2}+x \left (x^{2}+1\right ) y^{\prime }-x^{2} y = 0
\]
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| \[
{} y^{3} {y^{\prime }}^{3}-\left (1-3 x \right ) y^{2} {y^{\prime }}^{2}+3 x^{2} y y^{\prime }+x^{3}-y^{2} = 0
\]
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| \[
{} y^{4} {y^{\prime }}^{3}-6 x y^{\prime }+2 y = 0
\]
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| \[
{} {y^{\prime }}^{4} = \left (y-a \right )^{3} \left (y-b \right )^{2}
\]
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{} {y^{\prime }}^{4}+f \left (x \right ) \left (y-a \right )^{3} \left (y-b \right )^{2} = 0
\]
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{} {y^{\prime }}^{4}+f \left (x \right ) \left (y-a \right )^{3} \left (y-b \right )^{3} = 0
\]
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{} {y^{\prime }}^{4}+f \left (x \right ) \left (y-a \right )^{3} \left (y-b \right )^{3} \left (y-c \right )^{2} = 0
\]
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| \[
{} {y^{\prime }}^{4}+x y^{\prime }-3 y = 0
\]
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| \[
{} {y^{\prime }}^{4}-4 y {y^{\prime }}^{2} x^{2}+16 x y^{2} y^{\prime }-16 y^{3} = 0
\]
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| \[
{} {y^{\prime }}^{4}+4 {y^{\prime }}^{3} y+6 y^{2} {y^{\prime }}^{2}-\left (1-4 y^{3}\right ) y^{\prime }-\left (3-y^{3}\right ) y = 0
\]
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{} 2 {y^{\prime }}^{4}-y y^{\prime }-2 = 0
\]
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| \[
{} {y^{\prime }}^{4} x -2 {y^{\prime }}^{3} y+12 x^{3} = 0
\]
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{} 3 {y^{\prime }}^{5}-y y^{\prime }+1 = 0
\]
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| \[
{} {y^{\prime }}^{6} = \left (y-a \right )^{4} \left (y-b \right )^{3}
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| \[
{} {y^{\prime }}^{6}+f \left (x \right ) \left (y-a \right )^{4} \left (y-b \right )^{3} = 0
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{} {y^{\prime }}^{6}+f \left (x \right ) \left (y-a \right )^{5} \left (y-b \right )^{3} = 0
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{} {y^{\prime }}^{6}+f \left (x \right ) \left (y-a \right )^{5} \left (y-b \right )^{4} = 0
\]
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| \[
{} x^{2} \left ({y^{\prime }}^{6}+3 y^{4}+3 y^{2}+1\right ) = a^{2}
\]
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| \[
{} 2 \sqrt {a y^{\prime }}+x y^{\prime }-y = 0
\]
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| \[
{} \left (x -y\right ) \sqrt {y^{\prime }} = a \left (1+y^{\prime }\right )
\]
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{} 2 \left (1+y\right )^{{3}/{2}}+3 x y^{\prime }-3 y = 0
\]
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| \[
{} \sqrt {1+{y^{\prime }}^{2}}+a y^{\prime } = x
\]
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| \[
{} \sqrt {1+{y^{\prime }}^{2}}+a y^{\prime } = y
\]
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| \[
{} \sqrt {1+{y^{\prime }}^{2}} = x y^{\prime }
\]
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| \[
{} \sqrt {a^{2}+b^{2} {y^{\prime }}^{2}}+x y^{\prime }-y = 0
\]
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| \[
{} a \sqrt {1+{y^{\prime }}^{2}}+x y^{\prime }-y = 0
\]
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| \[
{} a x \sqrt {1+{y^{\prime }}^{2}}+x y^{\prime }-y = 0
\]
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| \[
{} \sqrt {\left (x^{2} a +y^{2}\right ) \left (1+{y^{\prime }}^{2}\right )}-y y^{\prime }-a x = 0
\]
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| \[
{} a \left (1+{y^{\prime }}^{3}\right )^{{1}/{3}}+x y^{\prime }-y = 0
\]
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| \[
{} \cos \left (y^{\prime }\right )+x y^{\prime } = y
\]
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| \[
{} a \cos \left (y^{\prime }\right )+b y^{\prime }+x = 0
\]
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| \[
{} \sin \left (y^{\prime }\right )+y^{\prime } = x
\]
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| \[
{} y^{\prime } \sin \left (y^{\prime }\right )+\cos \left (y^{\prime }\right ) = y
\]
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