\[ {}y^{\prime \prime } = \sec \left (x \right ) \tan \left (x \right ) \]

\[ {}2 y^{\prime \prime } = {\mathrm e}^{y} \]

\[ {}y^{\prime \prime } = y^{3} \]

\[ {}y^{\prime \prime } = {y^{\prime }}^{2} \cos \left (x \right ) \]

\[ {}y y^{\prime \prime }-y^{2} y^{\prime } = {y^{\prime }}^{2} \]

\[ {}\left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2} = 0 \]

\[ {}y y^{\prime \prime } = y^{3}+{y^{\prime }}^{2} \]

\[ {}\left (1+{y^{\prime }}^{2}\right )^{2} = y^{2} y^{\prime \prime } \]

\[ {}y^{\prime \prime } = {y^{\prime }}^{2} \sin \left (x \right ) \]

\[ {}2 y y^{\prime \prime } = y^{3}+2 {y^{\prime }}^{2} \]

\[ {}x^{\prime \prime }-k^{2} x = 0 \]

\[ {}y y^{\prime \prime } = 2 {y^{\prime }}^{2}+y^{2} \]

\[ {}\left (1-{\mathrm e}^{x}\right ) y^{\prime \prime } = {\mathrm e}^{x} y^{\prime } \]

\[ {}4 y^{2} = {y^{\prime }}^{2} x^{2} \]

\[ {}x y {y^{\prime }}^{2}+\left (x +y\right ) y^{\prime }+1 = 0 \]

\[ {}1+\left (2 y-x^{2}\right ) {y^{\prime }}^{2}-2 x^{2} y {y^{\prime }}^{2} = 0 \]

\[ {}x \left ({y^{\prime }}^{2}-1\right ) = 2 y^{\prime } y \]

\[ {}\left (1-y^{2}\right ) {y^{\prime }}^{2} = 1 \]

\[ {}x y {y^{\prime }}^{2}+\left (x y-1\right ) y^{\prime } = y \]

\[ {}y^{2} {y^{\prime }}^{2}+x y y^{\prime }-2 x^{2} = 0 \]

\[ {}y^{2} {y^{\prime }}^{2}-2 x y y^{\prime }+2 y^{2} = x^{2} \]

\[ {}{y^{\prime }}^{3}+\left (x +y-2 x y\right ) {y^{\prime }}^{2}-2 y^{\prime } x y \left (x +y\right ) = 0 \]

\[ {}y {y^{\prime }}^{2}+\left (y^{2}-x^{3}-y^{2} x \right ) y^{\prime }-x y \left (y^{2}+x^{2}\right ) = 0 \]

\[ {}y = y^{\prime } x \left (y^{\prime }+1\right ) \]

\[ {}y = x +3 \ln \left (y^{\prime }\right ) \]

\[ {}y \left (1+{y^{\prime }}^{2}\right ) = 2 \]

\[ {}y {y^{\prime }}^{2}-2 x y^{\prime }+y = 0 \]

\[ {}{y^{\prime }}^{2}+y^{2} = 1 \]

\[ {}x \left ({y^{\prime }}^{2}-1\right ) = 2 y^{\prime } y \]

\[ {}4 x -2 y^{\prime } y+{y^{\prime }}^{2} x = 0 \]

\[ {}2 x^{2} y+{y^{\prime }}^{2} = x^{3} y^{\prime } \]

\[ {}y {y^{\prime }}^{2} = 3 x y^{\prime }+y \]

\[ {}8 x +1 = y {y^{\prime }}^{2} \]

\[ {}y {y^{\prime }}^{2}+2 y^{\prime }+1 = 0 \]

\[ {}\left (1+{y^{\prime }}^{2}\right ) x = \left (x +y\right ) y^{\prime } \]

\[ {}x^{2}-3 y^{\prime } y+{y^{\prime }}^{2} x = 0 \]

\[ {}y+2 x y^{\prime } = {y^{\prime }}^{2} x \]

\[ {}x = {y^{\prime }}^{2}+y^{\prime } \]

\[ {}x = y-{y^{\prime }}^{3} \]

\[ {}x +2 y^{\prime } y = {y^{\prime }}^{2} x \]

\[ {}4 x -2 y^{\prime } y+{y^{\prime }}^{2} x = 0 \]

\[ {}x {y^{\prime }}^{3} = y^{\prime } y+1 \]

\[ {}y \left (1+{y^{\prime }}^{2}\right ) = 2 x y^{\prime } \]

\[ {}2 x +{y^{\prime }}^{2} x = 2 y^{\prime } y \]

\[ {}x = y^{\prime } y+{y^{\prime }}^{2} \]

\[ {}4 {y^{\prime }}^{2} x +2 x y^{\prime } = y \]

\[ {}y = y^{\prime } x \left (y^{\prime }+1\right ) \]

\[ {}2 x {y^{\prime }}^{3}+1 = y {y^{\prime }}^{2} \]

\[ {}{y^{\prime }}^{3}+x y y^{\prime } = 2 y^{2} \]

\[ {}3 {y^{\prime }}^{4} x = {y^{\prime }}^{3} y+1 \]

\[ {}2 {y^{\prime }}^{5}+2 x y^{\prime } = y \]

\[ {}\frac {1}{{y^{\prime }}^{2}}+x y^{\prime } = 2 y \]

\[ {}2 y = 3 x y^{\prime }+4+2 \ln \left (y^{\prime }\right ) \]

\[ {}y = x y^{\prime }+{y^{\prime }}^{2} \]

\[ {}y = x y^{\prime }+\frac {1}{y^{\prime }} \]

\[ {}y = x y^{\prime }-\sqrt {y^{\prime }} \]

\[ {}y = x y^{\prime }+\ln \left (y^{\prime }\right ) \]

\[ {}y = x y^{\prime }+\frac {3}{{y^{\prime }}^{2}} \]

\[ {}y = x y^{\prime }-{y^{\prime }}^{\frac {2}{3}} \]

\[ {}y = x y^{\prime }+{\mathrm e}^{y^{\prime }} \]

\[ {}\left (y-x y^{\prime }\right )^{2} = 1+{y^{\prime }}^{2} \]

\[ {}{y^{\prime }}^{2} x -y^{\prime } y-2 = 0 \]

\[ {}y^{2}-2 x y y^{\prime }+{y^{\prime }}^{2} \left (x^{2}-1\right ) = 0 \]

\[ {}y^{\prime } = \sqrt {1-y} \]

\[ {}y^{\prime } = x y-x^{2} \]

\[ {}y^{\prime } = x^{2} y^{2} \]

\[ {}y^{\prime } = 3 x +\frac {y}{x} \]

\[ {}y^{\prime } = \ln \left (x y\right ) \]

\[ {}y^{\prime } = 1+y^{2} \]

\[ {}y^{\prime } = y^{2}+x^{2} \]

\[ {}y^{\prime } = \sqrt {x y+1} \]

\[ {}y^{\prime } = \cos \left (x \right )+\sin \left (y\right ) \]

\[ {}y^{\prime \prime }-y = \sin \left (x \right ) \]

\[ {}y^{\prime \prime }-2 y = {\mathrm e}^{2 x} \]

\[ {}y^{\prime \prime }+2 y^{\prime } y = 0 \]

\[ {}y^{\prime \prime } = \sin \left (y\right ) \]

\[ {}y^{\prime \prime }+\frac {{y^{\prime }}^{2}}{2}-y = 0 \]

\[ {}y^{\prime \prime } = \sin \left (x y\right ) \]

\[ {}y^{\prime \prime } = \cos \left (x y\right ) \]

\[ {}2 x y^{\prime \prime }+5 y^{\prime }+x y = 0 \]

\[ {}3 x \left (2+3 x \right ) y^{\prime \prime }-4 y^{\prime }+4 y = 0 \]

\[ {}x^{2} \left (x +4\right ) y^{\prime \prime }+7 x y^{\prime }-y = 0 \]

\[ {}2 x^{2} y^{\prime \prime }+\left (-x^{2}+x \right ) y^{\prime }-y = 0 \]

\[ {}2 x^{2} y^{\prime \prime }+5 x y^{\prime }+\left (1+x \right ) y = 0 \]

\[ {}9 x^{2} y^{\prime \prime }+\left (2+3 x \right ) y = 0 \]

\[ {}\left (x^{3}+2 x^{2}\right ) y^{\prime \prime }-x y^{\prime }+\left (1-x \right ) y = 0 \]

\[ {}2 x^{2} y^{\prime \prime }-3 \left (x^{2}+x \right ) y^{\prime }+\left (2+3 x \right ) y = 0 \]

\[ {}3 x^{2} y^{\prime \prime }+\left (-x^{2}+5 x \right ) y^{\prime }+\left (2 x^{2}-1\right ) y = 0 \]

\[ {}4 x^{2} y^{\prime \prime }+x \left (x^{2}-4\right ) y^{\prime }+3 y = 0 \]

\[ {}4 x^{2} y^{\prime \prime }-3 \left (x^{2}+x \right ) y^{\prime }+2 y = 0 \]

\[ {}9 x^{2} y^{\prime \prime }+9 \left (-x^{2}+x \right ) y^{\prime }+\left (x -1\right ) y = 0 \]

\[ {}4 x^{2} \left (1-x \right ) y^{\prime \prime }+3 x \left (1+2 x \right ) y^{\prime }-3 y = 0 \]

\[ {}2 x^{2} \left (1-3 x \right ) y^{\prime \prime }+5 x y^{\prime }-2 y = 0 \]

\[ {}4 x^{2} \left (1+x \right ) y^{\prime \prime }-5 x y^{\prime }+2 y = 0 \]

\[ {}x^{2} \left (x +4\right ) y^{\prime \prime }+x \left (x -1\right ) y^{\prime }+y = 0 \]

\[ {}\left (8-x \right ) x^{2} y^{\prime \prime }+6 x y^{\prime }-y = 0 \]

\[ {}2 x^{2} y^{\prime \prime }+x \left (x^{2}+1\right ) y^{\prime }-\left (1+x \right ) y = 0 \]

\[ {}2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (x^{2}+1\right ) y = 0 \]

\[ {}3 x^{2} y^{\prime \prime }+2 x y^{\prime }+\left (x^{2}-2\right ) y = 0 \]

\[ {}x^{3} \left (x^{2}+3\right ) y^{\prime \prime }+5 x y^{\prime }-\left (1+x \right ) y = 0 \]