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

\[ {}y^{\prime \prime }+3 y^{\prime }+2 y = 5 \cos \left (t \right ) \]

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

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

\[ {}y^{\prime \prime }+6 y^{\prime }+8 y = \cos \left (t \right ) \]

\[ {}y^{\prime \prime }+6 y^{\prime }+8 y = -4 \cos \left (3 t \right ) \]

\[ {}y^{\prime \prime }+4 y^{\prime }+13 y = 3 \cos \left (2 t \right ) \]

\[ {}y^{\prime \prime }+4 y^{\prime }+20 y = -\cos \left (5 t \right ) \]

\[ {}y^{\prime \prime }+4 y^{\prime }+20 y = -3 \sin \left (2 t \right ) \]

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

\[ {}y^{\prime \prime }+6 y^{\prime }+8 y = \cos \left (t \right ) \]

\[ {}y^{\prime \prime }+6 y^{\prime }+8 y = 2 \cos \left (3 t \right ) \]

\[ {}y^{\prime \prime }+6 y^{\prime }+20 y = -3 \sin \left (2 t \right ) \]

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

\[ {}y^{\prime \prime }+3 y^{\prime }+y = \cos \left (3 t \right ) \]

\[ {}y^{\prime \prime }+4 y^{\prime }+20 y = 3+2 \cos \left (2 t \right ) \]

\[ {}y^{\prime \prime }+4 y^{\prime }+20 y = {\mathrm e}^{-t} \cos \left (t \right ) \]

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

\[ {}y^{\prime \prime }+9 y = 5 \sin \left (2 t \right ) \]

\[ {}y^{\prime \prime }+4 y = -\cos \left (\frac {t}{2}\right ) \]

\[ {}y^{\prime \prime }+4 y = 3 \cos \left (2 t \right ) \]

\[ {}y^{\prime \prime }+9 y = 2 \cos \left (3 t \right ) \]

\[ {}y^{\prime \prime }+4 y = 8 \]

\[ {}y^{\prime \prime }-4 y = {\mathrm e}^{2 t} \]

\[ {}y^{\prime \prime }-4 y^{\prime }+5 y = 2 \,{\mathrm e}^{t} \]

\[ {}y^{\prime \prime }+6 y^{\prime }+13 y = 13 \operatorname {Heaviside}\left (t -4\right ) \]

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

\[ {}y^{\prime \prime }+3 y = \operatorname {Heaviside}\left (t -4\right ) \cos \left (5 t -20\right ) \]

\[ {}y^{\prime \prime }+4 y^{\prime }+9 y = 20 \operatorname {Heaviside}\left (t -2\right ) \sin \left (t -2\right ) \]

\[ {}y^{\prime \prime }+3 y = \left \{\begin {array}{cc} t & 0\le t <1 \\ 1 & 1\le t \end {array}\right . \]

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

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

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

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

\[ {}y^{\prime \prime }+2 y^{\prime }+2 y = {\mathrm e}^{-2 t} \sin \left (4 t \right ) \]

\[ {}y^{\prime \prime }+y^{\prime }+5 y = \operatorname {Heaviside}\left (t -2\right ) \sin \left (4 t -8\right ) \]

\[ {}y^{\prime \prime }+y^{\prime }+8 y = \left (1-\operatorname {Heaviside}\left (t -4\right )\right ) \cos \left (t -4\right ) \]

\[ {}y^{\prime \prime }+y^{\prime }+3 y = \left (1-\operatorname {Heaviside}\left (t -2\right )\right ) {\mathrm e}^{-\frac {t}{10}+\frac {1}{5}} \sin \left (t -2\right ) \]

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

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

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

\[ {}y^{\prime \prime }+16 y = t \]

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

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

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

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

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

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

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

\[ {}y^{2} y^{\prime \prime } = 8 x^{2} \]

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

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

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

\[ {}y^{\prime } = 20 \,{\mathrm e}^{-4 x} \]

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

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

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

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

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

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

\[ {}1 = x^{2}-9 y^{\prime } \]

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

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

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

\[ {}y^{\prime } = 40 \,{\mathrm e}^{2 x} x \]

\[ {}\left (x +6\right )^{\frac {1}{3}} y^{\prime } = 1 \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}y^{\prime } = \left \{\begin {array}{cc} 0 & x <0 \\ 1 & 0\le x \end {array}\right . \]

\[ {}y^{\prime } = \left \{\begin {array}{cc} 0 & x <1 \\ 1 & 1\le x \end {array}\right . \]

\[ {}y^{\prime } = \left \{\begin {array}{cc} 0 & x <1 \\ 1 & 1\le x <2 \\ 0 & 2\le x \end {array}\right . \]

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

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

\[ {}y^{\prime }-y^{3} = 8 \]

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

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

\[ {}y^{3}-25 y+y^{\prime } = 0 \]

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

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

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

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

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

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

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