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

\[ {}x^{\prime \prime }+x^{\prime } = 3 t \]

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

\[ {}x^{\prime } = a x+b \]

\[ {}x^{\prime }+p \relax (t ) x = 0 \]

\[ {}x^{\prime } = \frac {2 x}{3 t}+\frac {2 t}{x} \]

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

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

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

\[ {}x^{\prime } = a x+b x^{3} \]

\[ {}w^{\prime } = t w+t^{3} w^{3} \]

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

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

\[ {}x^{\prime } = -\frac {\sin \relax (x)-x \sin \relax (t )}{t \cos \relax (x)+\cos \relax (t )} \]

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

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

\[ {}t \cot \relax (x) x^{\prime } = -2 \]

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}\frac {x^{\prime \prime }}{2}+\frac {5 x^{\prime }}{6}+\frac {2 x}{9} = 0 \]

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

\[ {}x^{\prime \prime }+\frac {x^{\prime }}{8}+x = 0 \]

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

\[ {}x^{\prime \prime }+x^{\prime }+x = 3 \cos \relax (t )-2 \sin \relax (t ) \]

\[ {}x^{\prime \prime }+x^{\prime }+x = 12 \]

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

\[ {}x^{\prime \prime }+x^{\prime }+x = 5 \sin \left (7 t \right ) \]

\[ {}x^{\prime \prime }+x^{\prime }+x = {\mathrm e}^{2 t} \cos \relax (t )+t^{2} \]

\[ {}x^{\prime \prime }+x^{\prime }+x = t \,{\mathrm e}^{-t} \sin \left (\pi t \right ) \]

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

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

\[ {}x^{\prime \prime }+x^{\prime }+x = 5 \sin \left (2 t \right )+t \,{\mathrm e}^{t} \]

\[ {}x^{\prime \prime }+x^{\prime }+x = t^{3}+1-4 t \cos \relax (t ) \]

\[ {}x^{\prime \prime }+x^{\prime }+x = -6+2 \,{\mathrm e}^{2 t} \sin \relax (t ) \]

\[ {}x^{\prime \prime }+7 x = t \,{\mathrm e}^{3 t} \]

\[ {}x^{\prime \prime }-x^{\prime } = 6+{\mathrm e}^{2 t} \]

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

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

\[ {}x^{\prime \prime }+x = 9 \,{\mathrm e}^{-t} \]

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

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

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

\[ {}x^{\prime \prime }-3 x^{\prime }-40 x = 2 \,{\mathrm e}^{-t} \]

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

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

\[ {}x^{\prime \prime }+\frac {x^{\prime }}{100}+4 x = \cos \left (2 t \right ) \]

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

\[ {}x^{\prime \prime }+3025 x = \cos \left (45 t \right ) \]

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

\[ {}x^{\prime \prime } = \frac {4 x}{t^{2}} \]

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

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

\[ {}t^{2} x^{\prime \prime }-7 t x^{\prime }+16 x = 0 \]

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

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

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

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

\[ {}x^{\prime \prime }+x = \tan \relax (t ) \]

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

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

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

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

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

\[ {}x^{\prime \prime }+\frac {x^{\prime }}{t} = a \]

\[ {}t^{2} x^{\prime \prime }-3 t x^{\prime }+3 x = 4 t^{7} \]

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

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

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

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

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

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

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

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

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

\[ {}x^{\prime \prime \prime }-x^{\prime }-8 x = 0 \]

\[ {}x^{\prime \prime \prime }+x^{\prime \prime } = 2 \,{\mathrm e}^{t}+3 t^{2} \]

\[ {}x^{\prime \prime \prime }-8 x = 0 \]

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

\[ {}x^{\prime }+5 x = \operatorname {Heaviside}\left (t -2\right ) \]

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

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

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

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

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

\[ {}x^{\prime \prime }+\frac {2 x^{\prime }}{5}+2 x = 1-\operatorname {Heaviside}\left (t -5\right ) \]

\[ {}x^{\prime \prime }+9 x = \sin \left (3 t \right ) \]

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

\[ {}x^{\prime } = 2 x+\operatorname {Heaviside}\left (t -1\right ) \]

\[ {}x^{\prime }+4 x = \cos \left (2 t \right ) \operatorname {Heaviside}\left (2 \pi -t \right ) \]