| # | ODE | Mathematica | Maple | Sympy |
| \[
{} 5 {y^{\prime }}^{2}+3 x y^{\prime }-y = 0
\]
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| \[
{} 5 {y^{\prime }}^{2}+6 x y^{\prime }-2 y = 0
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| \[
{} 9 {y^{\prime }}^{2}+3 y^{4} y^{\prime } x +y^{5} = 0
\]
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| \[
{} x {y^{\prime }}^{2}+y^{\prime } = y
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| \[
{} x {y^{\prime }}^{2}+2 y^{\prime }-y = 0
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| \[
{} x {y^{\prime }}^{2}-2 y^{\prime }-y = 0
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| \[
{} x {y^{\prime }}^{2}+4 y^{\prime }-2 y = 0
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| \[
{} x {y^{\prime }}^{2}+y y^{\prime }+a = 0
\]
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| \[
{} x {y^{\prime }}^{2}-y y^{\prime }+a = 0
\]
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| \[
{} x {y^{\prime }}^{2}+y y^{\prime }-x^{2} = 0
\]
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| \[
{} x {y^{\prime }}^{2}+y y^{\prime }+x^{3} = 0
\]
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| \[
{} x {y^{\prime }}^{2}-y y^{\prime }+a y = 0
\]
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| \[
{} x {y^{\prime }}^{2}+y y^{\prime }-y^{4} = 0
\]
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| \[
{} x {y^{\prime }}^{2}+\left (a -y\right ) y^{\prime }+b = 0
\]
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| \[
{} x {y^{\prime }}^{2}+\left (x -y\right ) y^{\prime }+1-y = 0
\]
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| \[
{} x {y^{\prime }}^{2}+\left (a +x -y\right ) y^{\prime }-y = 0
\]
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| \[
{} x {y^{\prime }}^{2}+\left (a +b x -y\right ) y^{\prime }-b y = 0
\]
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| \[
{} x {y^{\prime }}^{2}-2 y y^{\prime }+a = 0
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| \[
{} x {y^{\prime }}^{2}-3 y y^{\prime }+9 x^{2} = 0
\]
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| \[
{} x {y^{\prime }}^{2}-a y y^{\prime }+b = 0
\]
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| \[
{} \left (1+x \right ) {y^{\prime }}^{2}-\left (x +y\right ) y^{\prime }+y = 0
\]
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| \[
{} \left (a -x \right ) {y^{\prime }}^{2}+y y^{\prime }-b = 0
\]
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| \[
{} 2 x {y^{\prime }}^{2}+\left (2 x -y\right ) y^{\prime }+1-y = 0
\]
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| \[
{} \left (3 x +1\right ) {y^{\prime }}^{2}-3 \left (y+2\right ) y^{\prime }+9 = 0
\]
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| \[
{} \left (5+3 x \right ) {y^{\prime }}^{2}-\left (3+3 y\right ) y^{\prime }+y = 0
\]
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| \[
{} 4 x {y^{\prime }}^{2}-3 y y^{\prime }+3 = 0
\]
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| \[
{} 4 x {y^{\prime }}^{2}+4 y y^{\prime } = 1
\]
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| \[
{} 4 x {y^{\prime }}^{2}+4 y y^{\prime }-y^{4} = 0
\]
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| \[
{} x^{2} {y^{\prime }}^{2}+2 a x y^{\prime }+a^{2}+x^{2}-2 a y = 0
\]
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| \[
{} x^{2} {y^{\prime }}^{2}-2 y y^{\prime } x -x^{4}+\left (-x^{2}+1\right ) y^{2} = 0
\]
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| \[
{} x^{2} {y^{\prime }}^{2}-\left (2 x y+1\right ) y^{\prime }+1+y^{2} = 0
\]
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| \[
{} x^{2} {y^{\prime }}^{2}+2 x \left (y+2 x \right ) y^{\prime }-4 a +y^{2} = 0
\]
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| \[
{} x^{2} {y^{\prime }}^{2}+x \left (x^{3}-2 y\right ) y^{\prime }-\left (2 x^{3}-y\right ) y = 0
\]
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| \[
{} x^{2} {y^{\prime }}^{2}-3 y y^{\prime } x +x^{3}+2 y^{2} = 0
\]
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| \[
{} x^{2} {y^{\prime }}^{2}+x \left (x^{2}+x y-2 y\right ) y^{\prime }+\left (1-x \right ) \left (-y+x^{2}\right ) y = 0
\]
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| \[
{} \left (-x^{2}+1\right ) {y^{\prime }}^{2}+2 y y^{\prime } x +4 x^{2} = 0
\]
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| \[
{} \left (a^{2}-x^{2}\right ) {y^{\prime }}^{2}+2 y y^{\prime } x +x^{2} = 0
\]
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| \[
{} \left (a^{2}+x^{2}\right ) {y^{\prime }}^{2}-2 y y^{\prime } x +b +y^{2} = 0
\]
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| \[
{} x^{3} {y^{\prime }}^{2}+x y^{\prime }-y = 0
\]
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| \[
{} x^{3} {y^{\prime }}^{2}+x^{2} y y^{\prime }+a = 0
\]
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| \[
{} x \left (-x^{2}+1\right ) {y^{\prime }}^{2}-2 \left (-x^{2}+1\right ) y y^{\prime }+x \left (1-y^{2}\right ) = 0
\]
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| \[
{} x^{4} {y^{\prime }}^{2}+x y^{2} y^{\prime }-y^{3} = 0
\]
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| \[
{} 4 x^{5} {y^{\prime }}^{2}+12 x^{4} y y^{\prime }+9 = 0
\]
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| \[
{} y {y^{\prime }}^{2}+2 a x y^{\prime }-a y = 0
\]
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| \[
{} y {y^{\prime }}^{2}-\left (-2 b x +a \right ) y^{\prime }-b y = 0
\]
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| \[
{} y {y^{\prime }}^{2}+x^{3} y^{\prime }-x^{2} y = 0
\]
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| \[
{} \left (2 x -y\right ) {y^{\prime }}^{2}-2 \left (1-x \right ) y^{\prime }+2-y = 0
\]
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| \[
{} 2 y {y^{\prime }}^{2}+\left (5-4 x \right ) y^{\prime }+2 y = 0
\]
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| \[
{} 9 y {y^{\prime }}^{2}+4 x^{3} y^{\prime }-4 x^{2} y = 0
\]
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| \[
{} \left (x^{2}-a y\right ) {y^{\prime }}^{2}-2 y y^{\prime } x +y^{2} = 0
\]
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| \[
{} x y {y^{\prime }}^{2}+\left (a +x^{2}-y^{2}\right ) y^{\prime }-x y = 0
\]
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| \[
{} x y {y^{\prime }}^{2}-\left (a -b \,x^{2}+y^{2}\right ) y^{\prime }-b x y = 0
\]
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| \[
{} x \left (x -2 y\right ) {y^{\prime }}^{2}-2 y y^{\prime } x -2 x y+y^{2} = 0
\]
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| \[
{} y^{2} {y^{\prime }}^{2}-3 x y^{\prime }+y = 0
\]
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| \[
{} y^{2} {y^{\prime }}^{2}-6 x^{3} y^{\prime }+4 x^{2} y = 0
\]
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| \[
{} y^{2} {y^{\prime }}^{2}-4 a y y^{\prime }+4 a^{2}-4 a x +y^{2} = 0
\]
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| \[
{} y^{2} {y^{\prime }}^{2}+2 y y^{\prime } x +a -y^{2} = 0
\]
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| \[
{} y^{2} {y^{\prime }}^{2}-2 y y^{\prime } x -x^{2}+2 y^{2} = 0
\]
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| \[
{} y^{2} {y^{\prime }}^{2}-2 y y^{\prime } x +a -x^{2}+2 y^{2} = 0
\]
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| \[
{} y^{2} {y^{\prime }}^{2}+2 a x y y^{\prime }+\left (a -1\right ) b +x^{2} a +\left (1-a \right ) y^{2} = 0
\]
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| \[
{} \left (a^{2}-2 a x y+y^{2}\right ) {y^{\prime }}^{2}+2 a y y^{\prime }+y^{2} = 0
\]
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| \[
{} \left (a^{2} x^{2}-y^{2}\right ) {y^{\prime }}^{2}-2 y y^{\prime } x +x^{2} \left (a^{2}-1\right ) = 0
\]
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| \[
{} \left (\left (1-a \right ) x^{2}+y^{2}\right ) {y^{\prime }}^{2}+2 a x y y^{\prime }+x^{2}+\left (1-a \right ) y^{2} = 0
\]
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| \[
{} \left (\left (-a^{2}+1\right ) x^{2}+y^{2}\right ) {y^{\prime }}^{2}+2 a^{2} x y y^{\prime }+x^{2}+\left (-a^{2}+1\right ) y^{2} = 0
\]
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| \[
{} 2 y^{2} {y^{\prime }}^{2}+2 y y^{\prime } x -1+x^{2}+y^{2} = 0
\]
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| \[
{} \left (x^{2}-4 y^{2}\right ) {y^{\prime }}^{2}+6 y y^{\prime } x -4 x^{2}+y^{2} = 0
\]
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| \[
{} 9 y^{2} {y^{\prime }}^{2}-3 x y^{\prime }+y = 0
\]
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| \[
{} \left (-a^{2}+1\right ) y^{2} {y^{\prime }}^{2}-3 a^{2} x y y^{\prime }-a^{2} x^{2}+y^{2} = 0
\]
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| \[
{} \left (a -b \right ) y^{2} {y^{\prime }}^{2}-2 b x y y^{\prime }-a b -b \,x^{2}+a y^{2} = 0
\]
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| \[
{} a^{2} \left (b^{2}-\left (c x -a y\right )^{2}\right ) {y^{\prime }}^{2}+2 a \,b^{2} c y^{\prime }+c^{2} \left (b^{2}-\left (c x -a y\right )^{2}\right ) = 0
\]
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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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| \[
{} 4 y^{3} {y^{\prime }}^{2}-4 x y^{\prime }+y = 0
\]
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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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| \[
{} {y^{\prime }}^{3}+y^{\prime } = {\mathrm e}^{y}
\]
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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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| \[
{} {y^{\prime }}^{3}+a x y^{\prime }-a y = 0
\]
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| \[
{} {y^{\prime }}^{3}-\left (b x +a \right ) y^{\prime }+b y = 0
\]
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| \[
{} {y^{\prime }}^{3}-a x y y^{\prime }+2 a y^{2} = 0
\]
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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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| \[
{} {y^{\prime }}^{3}-{y^{\prime }}^{2}+x y^{\prime }-y = 0
\]
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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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| \[
{} 2 {y^{\prime }}^{3}+x y^{\prime }-2 y = 0
\]
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| \[
{} 3 {y^{\prime }}^{3}-x^{4} y^{\prime }+2 x^{3} y = 0
\]
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| \[
{} 8 {y^{\prime }}^{3}+12 {y^{\prime }}^{2} = 27 x +27 y
\]
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| \[
{} x {y^{\prime }}^{3}-y {y^{\prime }}^{2}+a = 0
\]
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| \[
{} x {y^{\prime }}^{3}-2 y {y^{\prime }}^{2}+4 x^{2} = 0
\]
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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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| \[
{} x {y^{\prime }}^{3}-3 y {y^{\prime }}^{2} x^{2}+x \left (x^{5}+3 y^{2}\right ) y^{\prime }-2 x^{5} y-y^{3} = 0
\]
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