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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}q^{\prime \prime }+9 q^{\prime }+14 q = \frac {\sin \left (t \right )}{2} \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}2 u^{2}+2 u v+\left (u^{2}+v^{2}\right ) v^{\prime } = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}y+x^{3} y+2 x^{2}+\left (x +4 y^{4} x +8 y^{3}\right ) y^{\prime } = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

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