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

\[ {}y^{\prime } = \frac {y}{t +1}+4 t^{2}+4 t \]

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

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

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

\[ {}y^{\prime }-\frac {3 y}{t} = 2 t^{3} {\mathrm e}^{2 t} \]

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

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

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

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

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

\[ {}y^{\prime } = \frac {y}{\sqrt {t^{3}-3}}+t \]

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

\[ {}y^{\prime } = t^{r} y+4 \]

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

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

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

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

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

\[ {}y^{\prime } = -\sin \left (y\right )^{5} \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}y^{\prime } = \left (y-1\right ) \left (y-2\right ) \left (y-{\mathrm e}^{\frac {t}{2}}\right ) \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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