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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}y^{\prime \prime }-6 y^{\prime }+10 y = 100 \]

\[ {}x^{\prime \prime }+x = \sin \relax (t )-\cos \left (2 t \right ) \]

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

\[ {}y^{\prime \prime }+y = \frac {1}{\sin \relax (x )^{3}} \]

\[ {}x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 2 \]

\[ {}y^{\prime \prime }+y = \cosh \relax (x ) \]

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

\[ {}x^{\prime \prime }-4 x^{\prime }+4 x = {\mathrm e}^{t}+{\mathrm e}^{2 t}+1 \]

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

\[ {}x^{3} x^{\prime \prime }+1 = 0 \]

\[ {}y^{\prime \prime \prime \prime }-16 y = x^{2}-{\mathrm e}^{x} \]

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

\[ {}x^{\relax (6)}-x^{\prime \prime \prime \prime } = 1 \]

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

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

\[ {}x^{2} y^{\prime \prime }+x y^{\prime }+\left (9 x^{2}-\frac {1}{25}\right ) y = 0 \]

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

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

\[ {}y^{\prime \prime }+y = 1-\frac {1}{\sin \relax (x )} \]

\[ {}u^{\prime \prime }+\frac {2 u^{\prime }}{r} = 0 \]

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

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

\[ {}x^{\prime \prime }+9 x = t \sin \left (3 t \right ) \]

\[ {}y^{\prime \prime }+2 y^{\prime }+y = \sinh \relax (x ) \]

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

\[ {}y^{\prime \prime }-2 y^{\prime }+2 y = x \,{\mathrm e}^{x} \cos \relax (x ) \]

\[ {}\left (x^{2}-1\right ) y^{\prime \prime }-6 y = 1 \]

\[ {}m x^{\prime \prime } = f \relax (x) \]

\[ {}m x^{\prime \prime } = f \left (x^{\prime }\right ) \]

\[ {}y^{\relax (6)}-3 y^{\relax (5)}+3 y^{\prime \prime \prime \prime }-y^{\prime \prime \prime } = x \]

\[ {}x^{\prime \prime \prime \prime }+2 x^{\prime \prime }+x = \cos \relax (t ) \]

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

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

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

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

\[ {}x^{\prime \prime }+10 x^{\prime }+25 x = 2^{t}+t \,{\mathrm e}^{-5 t} \]

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

\[ {}y^{\relax (6)}-y = {\mathrm e}^{2 x} \]

\[ {}y^{\relax (6)}+2 y^{\prime \prime \prime \prime }+y^{\prime \prime } = x +{\mathrm e}^{x} \]

\[ {}6 y^{\prime \prime } y^{\prime \prime \prime \prime }-5 {y^{\prime \prime \prime }}^{2} = 0 \]

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

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

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

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

\[ {}[x^{\prime }\relax (t ) = y \relax (t ), y^{\prime }\relax (t ) = -x \relax (t )] \]

\[ {}[x^{\prime }\relax (t )+5 x \relax (t )+y \relax (t ) = {\mathrm e}^{t}, y^{\prime }\relax (t )-x \relax (t )-3 y \relax (t ) = {\mathrm e}^{2 t}] \]

\[ {}[x^{\prime }\relax (t ) = y \relax (t ), y^{\prime }\relax (t ) = z \relax (t ), z^{\prime }\relax (t ) = x \relax (t )] \]

\[ {}\left [x^{\prime }\relax (t ) = y \relax (t ), y^{\prime }\relax (t ) = \frac {y \relax (t )^{2}}{x \relax (t )}\right ] \]

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

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

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

\[ {}x \left ({\mathrm e}^{y}+4\right ) = {\mathrm e}^{x +y} y^{\prime } \]

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

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

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

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

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

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

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

\[ {}y^{\prime \prime \prime }+x y = \sin \relax (x ) \]

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

\[ {}y^{\relax (5)}-y^{\prime \prime \prime \prime }+y^{\prime } = 2 x^{2}+3 \]

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

\[ {}y^{\prime \prime \prime }+x y = \cosh \relax (x ) \]

\[ {}\cos \relax (x ) y^{\prime }+y \,{\mathrm e}^{x^{2}} = \sinh \relax (x ) \]

\[ {}y^{\prime \prime \prime }+x y = \cosh \relax (x ) \]

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

\[ {}\sinh \relax (x ) {y^{\prime }}^{2}+3 y = 0 \]

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

\[ {}{y^{\prime }}^{2} \sqrt {y} = \sin \relax (x ) \]

\[ {}2 y^{\prime \prime }+3 y^{\prime }+4 x^{2} y = 1 \]

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

\[ {}x^{2} y^{\prime \prime }-y = \sin \relax (x )^{2} \]

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

\[ {}y^{\prime \prime \prime }+x y^{\prime \prime }-y^{2} = \sin \relax (x ) \]

\[ {}{y^{\prime }}^{2}+x y {y^{\prime }}^{2} = \ln \relax (x ) \]

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

\[ {}\sinh \relax (x ) {y^{\prime }}^{2}+y^{\prime \prime } = x y \]

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

\[ {}{y^{\prime \prime \prime }}^{2}+\sqrt {y} = \sin \relax (x ) \]

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

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

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

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

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