\[ {}y^{\prime \prime }+9 y = x^{2} {\mathrm e}^{3 x} \]

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

\[ {}y^{\prime \prime }+i y^{\prime }+2 y = 2 \cosh \left (2 x \right )+{\mathrm e}^{-2 x} \]

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

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

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

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

\[ {}\left (3 x -1\right )^{2} y^{\prime \prime }+\left (9 x -3\right ) y^{\prime }-9 y = 0 \]

\[ {}x^{2} y^{\prime \prime }-7 x y^{\prime }+15 y = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}2 \,{\mathrm e}^{2 x} y+2 x \cos \left (y\right )+\left ({\mathrm e}^{2 x}-x^{2} \sin \left (y\right )\right ) y^{\prime } = 0 \]

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

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

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

\[ {}5 x^{3} y^{2}+2 y+\left (3 x^{4} y+2 x \right ) y^{\prime } = 0 \]

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

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

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

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

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

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

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

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

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

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

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