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

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

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

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

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

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

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

\[ {}y^{\prime } = \frac {1}{x^{\frac {2}{3}}} \]

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

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

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

\[ {}{\mathrm e}^{x +y} y^{\prime }-1 = 0 \]

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

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

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

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

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

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

\[ {}y^{\prime } = \frac {x^{2} y-32}{-x^{2}+16}+2 \]

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

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

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

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

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

\[ {}y^{\prime } = \frac {2 \sqrt {y-1}}{3} \]

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

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

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

\[ {}x^{2} y^{\prime }-4 x y = x^{7} \sin \left (x \right ) \]

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

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

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

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

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

\[ {}y^{\prime }-y \tan \left (x \right ) = 8 \sin \left (x \right )^{3} \]

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

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

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

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

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

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

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

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

\[ {}x^{\prime }+\frac {2 x}{4-t} = 5 \]

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

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

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

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

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

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

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

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

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

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

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

\[ {}x y^{\prime } = \sqrt {16 x^{2}-y^{2}}+y \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}y^{\prime }-\frac {3 y}{2 x} = 6 y^{\frac {1}{3}} x^{2} \ln \left (x \right ) \]

\[ {}y^{\prime }+\frac {2 y}{x} = 6 \sqrt {x^{2}+1}\, \sqrt {y} \]

\[ {}y^{\prime }+\frac {2 y}{x} = 6 x^{4} y^{2} \]

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

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

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

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

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

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

\[ {}2 y^{\prime }+\cot \left (x \right ) y = \frac {8 \cos \left (x \right )^{3}}{y} \]

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

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

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

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

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

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

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

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

\[ {}y^{\prime } = \frac {x +2 y-1}{2 x -y+3} \]

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

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

\[ {}y^{\prime }+\frac {7 y}{x}-3 y^{2} = \frac {3}{x^{2}} \]

\[ {}\frac {y^{\prime }}{y}+p \left (x \right ) \ln \left (y\right ) = q \left (x \right ) \]

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

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

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