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

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

\[ {}{y^{\prime \prime }}^{3} = 12 y^{\prime } \left (x y^{\prime \prime }-2 y^{\prime }\right ) \]

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

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

\[ {}y^{\prime \prime \prime }+x^{2} y^{\prime \prime }+5 x y^{\prime }+3 y = 0 \]

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

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

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

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

\[ {}x^{2} y^{\prime \prime }+2 x y^{\prime }-12 y = 0 \]

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

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

\[ {}x^{2} y^{\prime \prime }-5 x y^{\prime }+9 y = 0 \]

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

\[ {}x^{3} y^{\prime \prime \prime }+4 x^{2} y^{\prime \prime }-8 x y^{\prime }+8 y = 0 \]

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

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

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

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

\[ {}t^{2} y^{\prime \prime }-3 t y^{\prime }+5 y = 0 \]

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

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

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

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

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

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

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

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

\[ {}3 y y^{\prime \prime }+y = 5 \]

\[ {}a y y^{\prime \prime }+b y = c \]

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

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

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

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

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

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

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

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

\[ {}y^{\prime \prime }-x y^{\prime }-x y-x^{4}-6 = 0 \]

\[ {}y^{\prime \prime }-x y^{\prime }-x y-x^{5}+24 = 0 \]

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

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

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

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

\[ {}y^{\prime \prime }-a x y^{\prime }-b x y-c \,x^{2} = 0 \]

\[ {}y^{\prime \prime }-a x y^{\prime }-b x y-c \,x^{3} = 0 \]

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

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

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

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

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

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

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

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

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

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

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

\[ {}y^{\prime \prime }-6 y^{\prime }-x y-x^{3}+2 = 0 \]

\[ {}y^{\prime \prime }-8 y^{\prime }-x y-x^{3}+2 = 0 \]

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

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

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

\[ {}y^{\prime \prime }-x y-x^{6}+64 = 0 \]

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

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

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

\[ {}y^{\prime \prime }-x y-x^{6}-x^{3}+42 = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}y^{\prime \prime }-x^{2} y^{\prime }-x^{3} y-x^{4}-x^{2} = 0 \]

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

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

\[ {}y^{\prime \prime }-\frac {y^{\prime }}{x}-x^{3} y-x^{4}-\frac {1}{x} = 0 \]

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

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

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

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

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

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

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

\[ {}x^{4} y^{\prime \prime \prime }+x^{3} y^{\prime \prime }+x^{2} y^{\prime }+x y = 0 \]

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

\[ {}5 x^{5} y^{\prime \prime \prime \prime }+4 x^{4} y^{\prime \prime \prime }+x^{2} y^{\prime }+x y = 0 \]

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

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

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

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

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

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