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Mathematica |
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\[
{}{y^{\prime }}^{2} = 4 y
\] |
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\[
{}\frac {1-4 x y^{2}}{x^{\prime }} = y^{3}
\] |
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\[
{}\frac {x+y \,{\mathrm e}^{y}}{x^{\prime }} = 1
\] |
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\[
{}\frac {1+2 x y}{x^{\prime }} = y^{2}+1
\] |
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\[
{}y = x y^{\prime }-\frac {{y^{\prime }}^{2}}{4}
\] |
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\[
{}4 y^{2} = x^{2} {y^{\prime }}^{2}
\] |
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\[
{}x y {y^{\prime }}^{2}+\left (x +y\right ) y^{\prime }+1 = 0
\] |
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\[
{}1+\left (2 y-x^{2}\right ) {y^{\prime }}^{2}-2 y {y^{\prime }}^{2} x^{2} = 0
\] |
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\[
{}x \left ({y^{\prime }}^{2}-1\right ) = 2 y y^{\prime }
\] |
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\[
{}\left (1-y^{2}\right ) {y^{\prime }}^{2} = 1
\] |
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\[
{}x y {y^{\prime }}^{2}+\left (x y-1\right ) y^{\prime } = y
\] |
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\[
{}y^{2} {y^{\prime }}^{2}+x y y^{\prime }-2 x^{2} = 0
\] |
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\[
{}y^{2} {y^{\prime }}^{2}-2 x y y^{\prime }+2 y^{2} = x^{2}
\] |
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\[
{}{y^{\prime }}^{3}+\left (x +y-2 x y\right ) {y^{\prime }}^{2}-2 y^{\prime } x y \left (x +y\right ) = 0
\] |
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\[
{}y {y^{\prime }}^{2}+\left (y^{2}-x^{3}-x y^{2}\right ) y^{\prime }-x y \left (x^{2}+y^{2}\right ) = 0
\] |
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\[
{}y = y^{\prime } x \left (1+y^{\prime }\right )
\] |
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\[
{}y = x +3 \ln \left (y^{\prime }\right )
\] |
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\[
{}y \left (1+{y^{\prime }}^{2}\right ) = 2
\] |
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\[
{}y {y^{\prime }}^{2}-2 x y^{\prime }+y = 0
\] |
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\[
{}{y^{\prime }}^{2}+y^{2} = 1
\] |
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\[
{}x \left ({y^{\prime }}^{2}-1\right ) = 2 y y^{\prime }
\] |
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\[
{}4 x -2 y y^{\prime }+x {y^{\prime }}^{2} = 0
\] |
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\[
{}2 x^{2} y+{y^{\prime }}^{2} = x^{3} y^{\prime }
\] |
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\[
{}y {y^{\prime }}^{2} = 3 x y^{\prime }+y
\] |
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\[
{}8 x +1 = y {y^{\prime }}^{2}
\] |
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\[
{}y {y^{\prime }}^{2}+2 y^{\prime }+1 = 0
\] |
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\[
{}\left (1+{y^{\prime }}^{2}\right ) x = \left (x +y\right ) y^{\prime }
\] |
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\[
{}x^{2}-3 y y^{\prime }+x {y^{\prime }}^{2} = 0
\] |
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\[
{}y+2 x y^{\prime } = x {y^{\prime }}^{2}
\] |
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\[
{}x = {y^{\prime }}^{2}+y^{\prime }
\] |
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\[
{}x = y-{y^{\prime }}^{3}
\] |
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\[
{}x +2 y y^{\prime } = x {y^{\prime }}^{2}
\] |
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\[
{}4 x -2 y y^{\prime }+x {y^{\prime }}^{2} = 0
\] |
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\[
{}x {y^{\prime }}^{3} = y y^{\prime }+1
\] |
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\[
{}y \left (1+{y^{\prime }}^{2}\right ) = 2 x y^{\prime }
\] |
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\[
{}2 x +x {y^{\prime }}^{2} = 2 y y^{\prime }
\] |
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\[
{}x = y y^{\prime }+{y^{\prime }}^{2}
\] |
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\[
{}4 x {y^{\prime }}^{2}+2 x y^{\prime } = y
\] |
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\[
{}y = y^{\prime } x \left (1+y^{\prime }\right )
\] |
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\[
{}2 x {y^{\prime }}^{3}+1 = y {y^{\prime }}^{2}
\] |
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\[
{}{y^{\prime }}^{3}+x y y^{\prime } = 2 y^{2}
\] |
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\[
{}3 {y^{\prime }}^{4} x = {y^{\prime }}^{3} y+1
\] |
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\[
{}2 {y^{\prime }}^{5}+2 x y^{\prime } = y
\] |
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\[
{}\frac {1}{{y^{\prime }}^{2}}+x y^{\prime } = 2 y
\] |
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\[
{}2 y = 3 x y^{\prime }+4+2 \ln \left (y^{\prime }\right )
\] |
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\[
{}y = x y^{\prime }+{y^{\prime }}^{2}
\] |
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\[
{}y = x y^{\prime }+\frac {1}{y^{\prime }}
\] |
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\[
{}y = x y^{\prime }-\sqrt {y^{\prime }}
\] |
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\[
{}y = x y^{\prime }+\ln \left (y^{\prime }\right )
\] |
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\[
{}y = x y^{\prime }+\frac {3}{{y^{\prime }}^{2}}
\] |
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\[
{}y = x y^{\prime }-{y^{\prime }}^{{2}/{3}}
\] |
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\[
{}y = x y^{\prime }+{\mathrm e}^{y^{\prime }}
\] |
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\[
{}\left (-x y^{\prime }+y\right )^{2} = 1+{y^{\prime }}^{2}
\] |
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\[
{}x {y^{\prime }}^{2}-y y^{\prime }-2 = 0
\] |
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\[
{}y^{2}-2 x y y^{\prime }+{y^{\prime }}^{2} \left (x^{2}-1\right ) = 0
\] |
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\[
{}{y^{\prime }}^{2}-y^{2} = 0
\] |
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\[
{}{y^{\prime }}^{2}-3 y^{\prime }+2 = 0
\] |
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\[
{}y = y^{\prime }+\frac {{y^{\prime }}^{2}}{2}
\] |
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\[
{}\left (-x y^{\prime }+y\right )^{2} = 1+{y^{\prime }}^{2}
\] |
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\[
{}y-x = {y^{\prime }}^{2} \left (1-\frac {2 y^{\prime }}{3}\right )
\] |
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\[
{}x {y^{\prime }}^{3}-y {y^{\prime }}^{2}+1 = 0
\] |
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\[
{}y = x y^{\prime }+{y^{\prime }}^{3}
\] |
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\[
{}x \left ({y^{\prime }}^{2}-1\right ) = 2 y^{\prime }
\] |
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\[
{}x y^{\prime } \left (y^{\prime }+2\right ) = y
\] |
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\[
{}x = y^{\prime } \sqrt {1+{y^{\prime }}^{2}}
\] |
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\[
{}2 {y^{\prime }}^{2} \left (-x y^{\prime }+y\right ) = 1
\] |
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\[
{}y = 2 x y^{\prime }+y^{2} {y^{\prime }}^{3}
\] |
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\[
{}{y^{\prime }}^{3}+y^{2} = x y y^{\prime }
\] |
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\[
{}2 x y^{\prime }-y = y^{\prime } \ln \left (y y^{\prime }\right )
\] |
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\[
{}y = x y^{\prime }-x^{2} {y^{\prime }}^{3}
\] |
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\[
{}y \left (y-2 x y^{\prime }\right )^{3} = {y^{\prime }}^{2}
\] |
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\[
{}y+x y^{\prime } = 4 \sqrt {y^{\prime }}
\] |
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\[
{}2 x y^{\prime }-y = \ln \left (y^{\prime }\right )
\] |
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\[
{}5 y+{y^{\prime }}^{2} = x \left (x +y^{\prime }\right )
\] |
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\[
{}y^{\prime } = {\mathrm e}^{\frac {x y^{\prime }}{y}}
\] |
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\[
{}4 x -2 y y^{\prime }+x {y^{\prime }}^{2} = 0
\] |
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\[
{}2 {y^{\prime }}^{3}-3 {y^{\prime }}^{2}+x = y
\] |
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\[
{}y^{\prime } \left (x -\ln \left (y^{\prime }\right )\right ) = 1
\] |
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\[
{}{y^{\prime }}^{2} = a \,x^{n}
\] |
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\[
{}{y^{\prime }}^{2} = y
\] |
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\[
{}{y^{\prime }}^{2} = x -y
\] |
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\[
{}{y^{\prime }}^{2} = x^{2}+y
\] |
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\[
{}{y^{\prime }}^{2}+x^{2} = 4 y
\] |
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\[
{}{y^{\prime }}^{2}+3 x^{2} = 8 y
\] |
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\[
{}{y^{\prime }}^{2}+a \,x^{2}+b y = 0
\] |
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\[
{}{y^{\prime }}^{2} = 1+y^{2}
\] |
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\[
{}{y^{\prime }}^{2} = 1-y^{2}
\] |
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\[
{}{y^{\prime }}^{2} = a^{2}-y^{2}
\] |
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\[
{}{y^{\prime }}^{2} = a^{2} y^{2}
\] |
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\[
{}{y^{\prime }}^{2} = a +b y^{2}
\] |
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\[
{}{y^{\prime }}^{2} = x^{2} y^{2}
\] |
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\[
{}{y^{\prime }}^{2} = \left (y-1\right ) y^{2}
\] |
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\[
{}{y^{\prime }}^{2} = \left (y-a \right ) \left (y-b \right ) \left (y-c \right )
\] |
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\[
{}{y^{\prime }}^{2} = a^{2} y^{n}
\] |
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\[
{}{y^{\prime }}^{2} = a^{2} \left (1-\ln \left (y\right )^{2}\right ) y^{2}
\] |
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\[
{}{y^{\prime }}^{2}+f \left (x \right ) \left (y-a \right ) \left (y-b \right ) = 0
\] |
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\[
{}{y^{\prime }}^{2}+f \left (x \right ) \left (y-a \right )^{2} \left (y-b \right ) = 0
\] |
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\[
{}{y^{\prime }}^{2}+f \left (x \right ) \left (y-a \right ) \left (y-b \right ) \left (y-c \right ) = 0
\] |
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\[
{}{y^{\prime }}^{2}+f \left (x \right ) \left (y-a \right )^{2} \left (y-b \right ) \left (y-c \right ) = 0
\] |
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\[
{}{y^{\prime }}^{2} = f \left (x \right )^{2} \left (y-a \right ) \left (y-b \right ) \left (y-c \right )^{2}
\] |
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