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

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

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

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

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

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

\[ {}\left (1+u \right ) v+\left (1-v\right ) u v^{\prime } = 0 \]

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

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

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

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

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

\[ {}1+s^{2}-\sqrt {t}\, s^{\prime } = 0 \]

\[ {}r^{\prime }+r \tan \left (t \right ) = 0 \]

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

\[ {}\sqrt {-x^{2}+1}\, y^{\prime }-\sqrt {1-y^{2}} = 0 \]

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

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

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

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

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

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

\[ {}8 y+10 x +\left (5 y+7 x \right ) y^{\prime } = 0 \]

\[ {}2 \sqrt {s t}-s+t s^{\prime } = 0 \]

\[ {}t -s+t s^{\prime } = 0 \]

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

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

\[ {}3 y-7 x +7-\left (3 x -7 y-3\right ) y^{\prime } = 0 \]

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

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

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

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

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

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

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

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

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

\[ {}s^{\prime } \cos \left (t \right )+s \sin \left (t \right ) = 1 \]

\[ {}s^{\prime }+s \cos \left (t \right ) = \frac {\sin \left (2 t \right )}{2} \]

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

\[ {}y^{\prime }+\frac {n y}{x} = a \,x^{-n} \]

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

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

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

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

\[ {}3 y^{2} y^{\prime }-a y^{3}-x -1 = 0 \]

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

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

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

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

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

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

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

\[ {}6 y^{2} x +4 x^{3}+3 \left (2 x^{2} y+y^{2}\right ) y^{\prime } = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}y^{\prime \prime } = 9 y \]

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

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

\[ {}y^{\prime \prime }+12 y = 7 y^{\prime } \]

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

\[ {}y^{\prime \prime }+2 y^{\prime }+10 y = 0 \]

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

\[ {}4 y^{\prime \prime }-12 y^{\prime }+9 y = 0 \]

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

\[ {}y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+4 y = 0 \]

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

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

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

\[ {}y^{\prime \prime \prime \prime }+2 y^{\prime \prime }+9 y = 0 \]

\[ {}y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+16 y = 0 \]

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

\[ {}y^{\prime \prime \prime \prime }-a^{4} y = 0 \]

\[ {}y^{\prime \prime }-7 y^{\prime }+12 y = x \]

\[ {}s^{\prime \prime }-a^{2} s = t +1 \]

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