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

\[ {}u^{\prime }+u^{2} = \frac {c}{x^{\frac {4}{3}}} \]

\[ {}u^{\prime }+b u^{2} = \frac {c}{x^{4}} \]

\[ {}u^{\prime }-u^{2} = \frac {2}{x^{\frac {8}{3}}} \]

\[ {}\frac {\sqrt {f \,x^{4}+c \,x^{3}+c \,x^{2}+b x +a}\, y^{\prime }}{\sqrt {a +b y+c y^{2}+c y^{3}+f y^{4}}} = -1 \]

\[ {}{y^{\prime }}^{2}-5 y^{\prime }+6 = 0 \]

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

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

\[ {}{y^{\prime }}^{2}+\frac {2 x y^{\prime }}{y}-1 = 0 \]

\[ {}y = a y^{\prime }+b {y^{\prime }}^{2} \]

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

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

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

\[ {}y^{\prime }-\frac {\sqrt {1+{y^{\prime }}^{2}}}{x} = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}7 y-3+\left (1+2 x \right ) y^{\prime } = 0 \]

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

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

\[ {}3 x -2 y+4-\left (2 x +7 y-1\right ) y^{\prime } = 0 \]

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

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

\[ {}y+7+\left (2 x +y+3\right ) y^{\prime } = 0 \]

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

\[ {}3 x^{2} y+8 y^{2} x +\left (x^{3}+8 x^{2} y+12 y^{2}\right ) y^{\prime } = 0 \]

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

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

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

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

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

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

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

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

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

\[ {}{\mathrm e}^{x} \left (y^{3}+x y^{3}+1\right )+3 y^{2} \left (x \,{\mathrm e}^{x}-6\right ) y^{\prime } = 0 \]

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

\[ {}y^{2} {\mathrm e}^{y^{2} x}+4 x^{3}+\left (2 x y \,{\mathrm e}^{y^{2} x}-3 y^{2}\right ) y^{\prime } = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}y^{2}+12 x^{2} y+\left (2 x y+4 x^{3}\right ) y^{\prime } = 0 \]

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

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

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

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

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

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

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

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

\[ {}r^{\prime } = \left (r+{\mathrm e}^{-\theta }\right ) \tan \left (\theta \right ) \]

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