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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}4 x^{2} y^{\prime \prime }-8 x^{2} y^{\prime }+\left (4 x^{2}+1\right ) y = 0 \]

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

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

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

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

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

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

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

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

\[ {}\left (2 x^{2}+2 x \right ) y^{\prime \prime }+\left (1+5 x \right ) y^{\prime }+y = 0 \]

\[ {}\left (x^{2}-1\right ) y^{\prime \prime }+\left (5 x +4\right ) y^{\prime }+4 y = 0 \]

\[ {}\left (x^{2}-x -6\right ) y^{\prime \prime }+\left (3 x +5\right ) y^{\prime }+y = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}9 \left (-2+x \right )^{2} \left (-3+x \right ) y^{\prime \prime }+6 x \left (-2+x \right ) y^{\prime }+16 y = 0 \]

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

\[ {}y^{\prime \prime }+5 y^{\prime }+6 y = 5 \,{\mathrm e}^{3 t} \]

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