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\[
{} {y^{\prime }}^{2} = \frac {y^{2}}{x}
\]
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\[
{} {y^{\prime }}^{2} = \frac {y^{3}}{x}
\]
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\[
{} {y^{\prime }}^{3} = \frac {y^{2}}{x}
\]
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\[
{} {y^{\prime }}^{2} = \frac {1}{x y}
\]
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\[
{} {y^{\prime }}^{2} = \frac {1}{x y^{3}}
\]
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\[
{} {y^{\prime }}^{2} = \frac {1}{x^{2} y^{3}}
\]
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\[
{} {y^{\prime }}^{4} = \frac {1}{x y^{3}}
\]
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\[
{} {y^{\prime }}^{2} = \frac {1}{x^{3} y^{4}}
\]
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\[
{} {y^{\prime }}^{2}+a y+b \,x^{2} = 0
\]
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\[
{} {y^{\prime }}^{2}+y^{2}-a^{2} = 0
\]
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\[
{} {y^{\prime }}^{2}-y^{3}+y^{2} = 0
\]
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\[
{} {y^{\prime }}^{2}-4 y^{3}+a y+b = 0
\]
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\[
{} {y^{\prime }}^{2}+a^{2} y^{2} \left (\ln \left (y\right )^{2}-1\right ) = 0
\]
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\[
{} {y^{\prime }}^{2}-2 y^{\prime }-y^{2} = 0
\]
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\[
{} {y^{\prime }}^{2}+a y^{\prime }+b x = 0
\]
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\[
{} {y^{\prime }}^{2}+a y^{\prime }+b y = 0
\]
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\[
{} {y^{\prime }}^{2}+\left (x -2\right ) y^{\prime }-y+1 = 0
\]
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\[
{} {y^{\prime }}^{2}+\left (x +a \right ) y^{\prime }-y = 0
\]
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\[
{} {y^{\prime }}^{2}-\left (1+x \right ) y^{\prime }+y = 0
\]
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\[
{} {y^{\prime }}^{2}+2 x y^{\prime }-y = 0
\]
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\[
{} {y^{\prime }}^{2}-2 x y^{\prime }+y = 0
\]
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\[
{} {y^{\prime }}^{2}+a x y^{\prime }-b \,x^{2}-c = 0
\]
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\[
{} {y^{\prime }}^{2}+a x y^{\prime }+b y+c \,x^{2} = 0
\]
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\[
{} {y^{\prime }}^{2}+\left (a x +b \right ) y^{\prime }-a y+c = 0
\]
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\[
{} {y^{\prime }}^{2}-2 x^{2} y^{\prime }+2 x y = 0
\]
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\[
{} {y^{\prime }}^{2}+a \,x^{3} y^{\prime }-2 a \,x^{2} y = 0
\]
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\[
{} {y^{\prime }}^{2}+\left (y^{\prime }-y\right ) {\mathrm e}^{x} = 0
\]
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\[
{} {y^{\prime }}^{2}-2 y y^{\prime }-2 x = 0
\]
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\[
{} {y^{\prime }}^{2}-\left (1+4 y\right ) y^{\prime }+\left (1+4 y\right ) y = 0
\]
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\[
{} {y^{\prime }}^{2}+a y y^{\prime }-b x -c = 0
\]
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\[
{} {y^{\prime }}^{2}+\left (b x +a y\right ) y^{\prime }+a b x y = 0
\]
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\[
{} {y^{\prime }}^{2}-x y y^{\prime }+y^{2} \ln \left (a y\right ) = 0
\]
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\[
{} {y^{\prime }}^{2}+2 y y^{\prime } \cot \left (x \right )-y^{2} = 0
\]
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\[
{} {y^{\prime }}^{2}+y \left (y-x \right ) y^{\prime }-x y^{3} = 0
\]
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\[
{} {y^{\prime }}^{2}-2 x^{3} y^{2} y^{\prime }-4 x^{2} y^{3} = 0
\]
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\[
{} {y^{\prime }}^{2}-3 x y^{{2}/{3}} y^{\prime }+9 y^{{5}/{3}} = 0
\]
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\[
{} 2 {y^{\prime }}^{2}+\left (x -1\right ) y^{\prime }-y = 0
\]
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\[
{} 2 {y^{\prime }}^{2}-2 x^{2} y^{\prime }+3 x y = 0
\]
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\[
{} 3 {y^{\prime }}^{2}-2 x y^{\prime }+y = 0
\]
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\[
{} 3 {y^{\prime }}^{2}+4 x y^{\prime }-y+x^{2} = 0
\]
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\[
{} a {y^{\prime }}^{2}+b y^{\prime }-y = 0
\]
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\[
{} a {y^{\prime }}^{2}+b \,x^{2} y^{\prime }+c x y = 0
\]
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\[
{} a {y^{\prime }}^{2}+y y^{\prime }-x = 0
\]
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\[
{} a {y^{\prime }}^{2}-y y^{\prime }-x = 0
\]
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\[
{} x {y^{\prime }}^{2}-y = 0
\]
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\[
{} x {y^{\prime }}^{2}-2 y+x = 0
\]
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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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\[
{} x {y^{\prime }}^{2}+x y^{\prime }-y = 0
\]
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\[
{} x {y^{\prime }}^{2}+y y^{\prime }+a = 0
\]
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\[
{} x {y^{\prime }}^{2}+y y^{\prime }-x^{2} = 0
\]
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\[
{} x {y^{\prime }}^{2}+y y^{\prime }+x^{3} = 0
\]
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\[
{} x {y^{\prime }}^{2}+y y^{\prime }-y^{4} = 0
\]
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\[
{} x {y^{\prime }}^{2}+\left (y-3 x \right ) y^{\prime }+y = 0
\]
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\[
{} x {y^{\prime }}^{2}-y y^{\prime }+a = 0
\]
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\[
{} x {y^{\prime }}^{2}-y y^{\prime }+a y = 0
\]
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\[
{} x {y^{\prime }}^{2}+2 y y^{\prime }-x = 0
\]
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\[
{} x {y^{\prime }}^{2}-2 y y^{\prime }+a = 0
\]
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\[
{} x {y^{\prime }}^{2}-2 y y^{\prime }-x = 0
\]
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\[
{} 4 x -2 y y^{\prime }+x {y^{\prime }}^{2} = 0
\]
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\[
{} x {y^{\prime }}^{2}-2 y y^{\prime }+x +2 y = 0
\]
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\[
{} x {y^{\prime }}^{2}+a y y^{\prime }+b x = 0
\]
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\[
{} \left (1+x \right ) {y^{\prime }}^{2}-\left (x +y\right ) y^{\prime }+y = 0
\]
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\[
{} \left (3 x +1\right ) {y^{\prime }}^{2}-3 \left (y+2\right ) y^{\prime }+9 = 0
\]
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\[
{} \left (5+3 x \right ) {y^{\prime }}^{2}-\left (3 y+x \right ) y^{\prime }+y = 0
\]
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\[
{} a x {y^{\prime }}^{2}+\left (b x -a y+c \right ) y^{\prime }-b y = 0
\]
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\[
{} a x {y^{\prime }}^{2}-\left (a y+b x -a -b \right ) y^{\prime }+b y = 0
\]
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\[
{} \left (\operatorname {a2} x +\operatorname {c2} \right ) {y^{\prime }}^{2}+\left (\operatorname {a1} x +\operatorname {b1} y+\operatorname {c1} \right ) y^{\prime }+\operatorname {a0} x +\operatorname {b0} y+\operatorname {c0} = 0
\]
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\[
{} x^{2} {y^{\prime }}^{2}-y^{4}+y^{2} = 0
\]
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\[
{} \left (x y^{\prime }+a \right )^{2}-2 a y+x^{2} = 0
\]
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\[
{} \left (x y^{\prime }+y+2 x \right )^{2}-4 x y-4 x^{2}-4 a = 0
\]
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\[
{} x^{2} {y^{\prime }}^{2}-2 x y y^{\prime }+y \left (y+1\right )-x = 0
\]
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\[
{} x^{2} {y^{\prime }}^{2}-2 x y y^{\prime }+\left (-x^{2}+1\right ) y^{2}-x^{4} = 0
\]
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\[
{} x^{2} {y^{\prime }}^{2}-\left (2 x y+a \right ) y^{\prime }+y^{2} = 0
\]
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\[
{} x^{2} {y^{\prime }}^{2}+3 x y y^{\prime }+2 y^{2} = 0
\]
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\[
{} x^{2} {y^{\prime }}^{2}+3 x y y^{\prime }+3 y^{2} = 0
\]
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\[
{} x^{2} {y^{\prime }}^{2}+4 x y y^{\prime }-5 y^{2} = 0
\]
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\[
{} x^{2} {y^{\prime }}^{2}-4 x \left (y+2\right ) y^{\prime }+4 y \left (y+2\right ) = 0
\]
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\[
{} x^{2} {y^{\prime }}^{2}+\left (x^{2} y-2 x y+x^{3}\right ) y^{\prime }+\left (y^{2}-x^{2} y\right ) \left (1-x \right ) = 0
\]
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\[
{} x^{2} {y^{\prime }}^{2}-y \left (y-2 x \right ) y^{\prime }+y^{2} = 0
\]
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\[
{} x^{2} {y^{\prime }}^{2}+\left (a \,x^{2} y^{3}+b \right ) y^{\prime }+a b y^{3} = 0
\]
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\[
{} \left (x^{2}+1\right ) {y^{\prime }}^{2}-2 x y y^{\prime }+y^{2}-1 = 0
\]
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\[
{} \left (x^{2}-1\right ) {y^{\prime }}^{2}-1 = 0
\]
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\[
{} \left (x^{2}-1\right ) {y^{\prime }}^{2}-y^{2}+1 = 0
\]
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\[
{} \left (-a^{2}+x^{2}\right ) {y^{\prime }}^{2}+2 x y y^{\prime }+y^{2} = 0
\]
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\[
{} \left (-a^{2}+x^{2}\right ) {y^{\prime }}^{2}-2 x y y^{\prime }-x^{2} = 0
\]
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\[
{} \left (x^{2}+a \right ) {y^{\prime }}^{2}-2 x y y^{\prime }+y^{2}+b = 0
\]
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\[
{} \left (2 x^{2}+1\right ) {y^{\prime }}^{2}+\left (x^{2}+2 x y+y^{2}+2\right ) y^{\prime }+2 y^{2}+1 = 0
\]
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\[
{} \left (a^{2}-1\right ) x^{2} {y^{\prime }}^{2}+2 x y y^{\prime }-y^{2}+a^{2} x^{2} = 0
\]
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\[
{} a \,x^{2} {y^{\prime }}^{2}-2 a x y y^{\prime }+y^{2}-a \left (a -1\right ) x^{2} = 0
\]
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\[
{} x^{3} {y^{\prime }}^{2}+x^{2} y y^{\prime }+a = 0
\]
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\[
{} x \left (x^{2}-1\right ) {y^{\prime }}^{2}+2 \left (-x^{2}+1\right ) y y^{\prime }+x y^{2}-x = 0
\]
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\[
{} x^{4} {y^{\prime }}^{2}-x y^{\prime }-y = 0
\]
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\[
{} x^{2} \left (-a^{2}+x^{2}\right ) {y^{\prime }}^{2}-1 = 0
\]
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\[
{} {\mathrm e}^{-2 x} {y^{\prime }}^{2}-\left (y^{\prime }-1\right )^{2}+{\mathrm e}^{-2 y} = 0
\]
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\[
{} \left ({y^{\prime }}^{2}+y^{2}\right ) \cos \left (x \right )^{4}-a^{2} = 0
\]
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\[
{} y {y^{\prime }}^{2}-1 = 0
\]
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\[
{} y {y^{\prime }}^{2}-{\mathrm e}^{2 x} = 0
\]
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\[
{} y {y^{\prime }}^{2}+2 x y^{\prime }-y = 0
\]
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\[
{} y {y^{\prime }}^{2}+2 x y^{\prime }-9 y = 0
\]
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