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

\[ {}-1+3 y^{2} y^{\prime } = 0 \]

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

\[ {}\frac {3 t^{2}}{y}-\frac {t^{3} y^{\prime }}{y^{2}} = 0 \]

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

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

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

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

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

\[ {}3 t^{2}+3 y^{2}+6 t y y^{\prime } = 0 \]

\[ {}{\mathrm e}^{t} \sin \left (y\right )+\left (1+{\mathrm e}^{t} \cos \left (y\right )\right ) y^{\prime } = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}1+5 t -y-\left (t +2 y\right ) y^{\prime } = 0 \]

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

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

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

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

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

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

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

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

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

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

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

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

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

\[ {}5 t y+4 y^{2}+1+\left (t^{2}+2 t y\right ) y^{\prime } = 0 \]

\[ {}5 t y^{2}+y+\left (2 t^{3}-t \right ) y^{\prime } = 0 \]

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

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

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

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

\[ {}\frac {9 t}{5}+2 y+\left (2 t +2 y\right ) y^{\prime } = 0 \]

\[ {}2 t +\frac {19 y}{10}+\left (\frac {19 t}{10}+2 y\right ) y^{\prime } = 0 \]

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

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

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

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

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

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

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

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

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

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

\[ {}\cos \left (\frac {t}{t +y}\right )+{\mathrm e}^{\frac {2 y}{t}} y^{\prime } = 0 \]

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

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

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

\[ {}\frac {\sin \left (2 t \right )}{\cos \left (2 y\right )}+\frac {\ln \left (y\right ) y^{\prime }}{\ln \left (t \right )} = 0 \]

\[ {}\sqrt {t^{2}+1}+y y^{\prime } = 0 \]

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

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

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

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

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

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

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

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

\[ {}2 t^{2}-7 t y+5 y^{2}+t y y^{\prime } = 0 \]

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

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

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

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

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

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

\[ {}t \left (\ln \left (t \right )-\ln \left (y\right )\right ) y^{\prime } = y \]

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

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

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

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

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

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

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

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

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

\[ {}t -2 y+1+\left (4 t -3 y-6\right ) y^{\prime } = 0 \]

\[ {}5 t +2 y+1+\left (2 t +y+1\right ) y^{\prime } = 0 \]

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

\[ {}2 t +3 y+1+\left (4 t +6 y+1\right ) y^{\prime } = 0 \]

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

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

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

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

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

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

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

\[ {}\cos \left (4 x \right )-8 \sin \left (y\right ) y^{\prime } = 0 \]

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

\[ {}y^{\prime } = \frac {{\mathrm e}^{8 y}}{t} \]