\[ {}\left ({\mathrm e}^{v}+1\right ) \cos \relax (u )+{\mathrm e}^{v} \left (1+\sin \relax (u )\right ) v^{\prime } = 0 \]

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

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

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

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

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

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

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

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

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

\[ {}8 \cos \relax (y)^{2}+\csc \relax (x )^{2} y^{\prime } = 0 \]

\[ {}\left (3 x +8\right ) \left (y^{2}+4\right )-4 y \left (x^{2}+5 x +6\right ) y^{\prime } = 0 \]

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

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

\[ {}3 x^{2}+9 x y+5 y^{2}-\left (6 x^{2}+4 x y\right ) y^{\prime } = 0 \]

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

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

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

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

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

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

\[ {}u^{\prime } = 4 t \ln \relax (t ) \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}x^{\prime }+p x = q \]

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

\[ {}i^{\prime } = p \relax (t ) i \]

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

\[ {}m v^{\prime } = -m g +k v^{2} \]

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

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

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

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

\[ {}z^{\prime } = z \tan \relax (y )+\sin \relax (y ) \]

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

\[ {}x^{\prime }+x \tanh \relax (t ) = 3 \]

\[ {}y^{\prime }+2 y \cot \relax (x ) = 5 \]

\[ {}x^{\prime }+5 x = t \]

\[ {}x^{\prime }+\left (a +\frac {1}{t}\right ) x = b \]

\[ {}T^{\prime } = -k \left (T-\mu -a \cos \left (\omega \left (t -\phi \right )\right )\right ) \]

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

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

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

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

\[ {}{\mathrm e}^{-y} \sec \relax (x )+2 \cos \relax (x )-{\mathrm e}^{-y} y^{\prime } = 0 \]

\[ {}V^{\prime }\relax (x )+2 y^{\prime } y = 0 \]

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

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

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

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

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

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

\[ {}z^{\prime \prime }-4 z^{\prime }+13 z = 0 \]

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

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

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

\[ {}y^{\prime \prime }+2 y^{\prime }+10 y = 0 \]

\[ {}2 z^{\prime \prime }+7 z^{\prime }-4 z = 0 \]

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

\[ {}x^{\prime \prime }+6 x^{\prime }+10 x = 0 \]

\[ {}4 x^{\prime \prime }-20 x^{\prime }+21 x = 0 \]

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

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

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

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

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

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

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

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

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

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

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

\[ {}x^{\prime \prime }+2 x^{\prime }+10 x = {\mathrm e}^{-t} \]

\[ {}x^{\prime \prime }+2 x^{\prime }+10 x = {\mathrm e}^{-t} \cos \left (3 t \right ) \]

\[ {}x^{\prime \prime }+6 x^{\prime }+10 x = {\mathrm e}^{-2 t} \cos \relax (t ) \]

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

\[ {}x^{\prime \prime }+x^{\prime }-2 x = 12 \,{\mathrm e}^{-t}-6 \,{\mathrm e}^{t} \]

\[ {}x^{\prime \prime }+4 x = 289 t \,{\mathrm e}^{t} \sin \left (2 t \right ) \]

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

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

\[ {}x^{\prime \prime \prime }-6 x^{\prime \prime }+11 x^{\prime }-6 x = {\mathrm e}^{-t} \]

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

\[ {}x^{\prime \prime \prime \prime }-4 x^{\prime \prime \prime }+8 x^{\prime \prime }-8 x^{\prime }+4 x = \sin \relax (t ) \]

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

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