\[ {}u^{\prime \prime }+u^{\prime }+\frac {u^{3}}{5} = \cos \left (t \right ) \]

\[ {}y^{3} y^{\prime \prime }+4 = 0 \]

\[ {}x^{\prime \prime } = \frac {k^{2}}{x^{2}} \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}r^{\prime \prime } = -\frac {k}{r^{2}} \]

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

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

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

\[ {}r^{\prime \prime } = \frac {h^{2}}{r^{3}}-\frac {k}{r^{2}} \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}k = \frac {y^{\prime \prime }}{\left (1+y^{\prime }\right )^{\frac {3}{2}}} \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}y^{\prime \prime }+\sin \left (y\right ) = 0 \]

\[ {}y^{\prime \prime }+\sin \left (y\right ) = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}y^{\prime \prime }+\sin \left (y\right ) = 0 \]

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

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

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

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

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

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