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\[
{}y^{\prime } = \frac {x \left (x^{2}+1\right )}{4 y^{3}}
\] |
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\[
{}y^{\prime } = \frac {-{\mathrm e}^{x}+3 x^{2}}{-5+2 y}
\] |
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\[
{}y^{\prime } = \frac {{\mathrm e}^{-x}-{\mathrm e}^{x}}{3+4 y}
\] |
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\[
{}\sin \left (2 x \right )+\cos \left (3 y\right ) y^{\prime } = 0
\] |
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\[
{}\sqrt {-x^{2}+1}\, y^{2} y^{\prime } = \arcsin \left (x \right )
\] |
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\[
{}y^{\prime } = \frac {3 x^{2}+1}{-6 y+3 y^{2}}
\] |
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\[
{}y^{\prime } = \frac {3 x^{2}}{-4+3 y^{2}}
\] |
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\[
{}y^{\prime } = 2 y^{2}+x y^{2}
\] |
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\[
{}y^{\prime } = \frac {2-{\mathrm e}^{x}}{3+2 y}
\] |
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\[
{}y^{\prime } = \frac {2 \cos \left (2 x \right )}{3+2 y}
\] |
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\[
{}y^{\prime } = 2 \left (1+x \right ) \left (1+y^{2}\right )
\] |
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\[
{}y^{\prime } = \frac {t \left (4-y\right ) y}{3}
\] |
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\[
{}y^{\prime } = \frac {t y \left (4-y\right )}{t +1}
\] |
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\[
{}y^{\prime } = \frac {a y+b}{d +c y}
\] |
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\[
{}y^{\prime } = \frac {y^{2}+x y+x^{2}}{x^{2}}
\] |
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\[
{}y^{\prime } = \frac {x^{2}+3 y^{2}}{2 x y}
\] |
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\[
{}y^{\prime } = \frac {4 y-3 x}{2 x -y}
\] |
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\[
{}y^{\prime } = -\frac {4 x +3 y}{y+2 x}
\] |
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\[
{}y^{\prime } = \frac {3 y+x}{x -y}
\] |
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\[
{}x^{2}+3 x y+y^{2}-x^{2} y^{\prime } = 0
\] |
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\[
{}y^{\prime } = \frac {x^{2}-3 y^{2}}{2 x y}
\] |
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\[
{}y^{\prime } = \frac {3 y^{2}-x^{2}}{2 x y}
\] |
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\[
{}y \ln \left (t \right )+\left (t -3\right ) y^{\prime } = 2 t
\] |
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\[
{}y+\left (t -4\right ) t y^{\prime } = 0
\] |
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\[
{}\tan \left (t \right ) y+y^{\prime } = \sin \left (t \right )
\] |
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\[
{}2 t y+\left (-t^{2}+4\right ) y^{\prime } = 3 t^{2}
\] |
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\[
{}2 t y+\left (-t^{2}+4\right ) y^{\prime } = 3 t^{2}
\] |
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\[
{}y+\ln \left (t \right ) y^{\prime } = \cot \left (t \right )
\] |
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\[
{}y^{\prime } = \frac {t^{2}+1}{3 y-y^{2}}
\] |
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\[
{}y^{\prime } = \frac {\cot \left (t \right ) y}{y+1}
\] |
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\[
{}y^{\prime } = -\frac {4 t}{y}
\] |
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\[
{}y^{\prime } = 2 t y^{2}
\] |
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\[
{}y^{3}+y^{\prime } = 0
\] |
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\[
{}y^{\prime } = \frac {t^{2}}{\left (t^{3}+1\right ) y}
\] |
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\[
{}y^{\prime } = t \left (3-y\right ) y
\] |
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\[
{}y^{\prime } = y \left (3-t y\right )
\] |
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\[
{}y^{\prime } = -y \left (3-t y\right )
\] |
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\[
{}y^{\prime } = t -1-y^{2}
\] |
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\[
{}y^{\prime } = a y+b y^{2}
\] |
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\[
{}y^{\prime } = y \left (-2+y\right ) \left (-1+y\right )
\] |
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\[
{}y^{\prime } = -1+{\mathrm e}^{y}
\] |
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\[
{}y^{\prime } = -1+{\mathrm e}^{-y}
\] |
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\[
{}y^{\prime } = -\frac {2 \arctan \left (y\right )}{1+y^{2}}
\] |
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\[
{}y^{\prime } = -k \left (-1+y\right )^{2}
\] |
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\[
{}y^{\prime } = y^{2} \left (y^{2}-1\right )
\] |
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\[
{}y^{\prime } = y \left (1-y^{2}\right )
\] |
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\[
{}y^{\prime } = -b \sqrt {y}+a y
\] |
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\[
{}y^{\prime } = y^{2} \left (4-y^{2}\right )
\] |
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\[
{}y^{\prime } = \left (1-y\right )^{2} y^{2}
\] |
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\[
{}3+2 x +\left (-2+2 y\right ) y^{\prime } = 0
\] |
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\[
{}2 x +4 y+\left (2 x -2 y\right ) y^{\prime } = 0
\] |
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\[
{}2+3 x^{2}-2 x y+\left (3-x^{2}+6 y^{2}\right ) y^{\prime } = 0
\] |
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\[
{}2 y+2 x y^{2}+\left (2 x +2 x^{2} y\right ) y^{\prime } = 0
\] |
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\[
{}y^{\prime } = \frac {-a x -b y}{b x +c y}
\] |
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\[
{}y^{\prime } = \frac {-a x +b y}{b x -c y}
\] |
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\[
{}{\mathrm e}^{x} \sin \left (y\right )-2 y \sin \left (x \right )+\left (2 \cos \left (x \right )+{\mathrm e}^{x} \cos \left (y\right )\right ) y^{\prime } = 0
\] |
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\[
{}{\mathrm e}^{x} \sin \left (y\right )+3 y-\left (3 x -{\mathrm e}^{x} \sin \left (y\right )\right ) y^{\prime } = 0
\] |
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\[
{}2 x -2 \,{\mathrm e}^{x y} \sin \left (2 x \right )+{\mathrm e}^{x y} \cos \left (2 x \right ) y+\left (-3+{\mathrm e}^{x y} x \cos \left (2 x \right )\right ) y^{\prime } = 0
\] |
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\[
{}\frac {y}{x}+6 x +\left (\ln \left (x \right )-2\right ) y^{\prime } = 0
\] |
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\[
{}x \ln \left (x \right )+x y+\left (y \ln \left (x \right )+x y\right ) y^{\prime } = 0
\] |
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\[
{}\frac {x}{\left (x^{2}+y^{2}\right )^{{3}/{2}}}+\frac {y y^{\prime }}{\left (x^{2}+y^{2}\right )^{{3}/{2}}} = 0
\] |
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\[
{}2 x -y+\left (-x +2 y\right ) y^{\prime } = 0
\] |
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\[
{}-1+9 x^{2}+y+\left (-4 y+x \right ) y^{\prime } = 0
\] |
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\[
{}x^{2} y^{3}+x \left (1+y^{2}\right ) y^{\prime } = 0
\] |
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\[
{}y+\left (2 x -{\mathrm e}^{y} y\right ) y^{\prime } = 0
\] |
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\[
{}\left (x +2\right ) \sin \left (y\right )+x \cos \left (y\right ) y^{\prime } = 0
\] |
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\[
{}2 x y+3 x^{2} y+y^{3}+\left (x^{2}+y^{2}\right ) y^{\prime } = 0
\] |
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\[
{}y^{\prime } = -1+{\mathrm e}^{2 x}+y
\] |
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\[
{}1+\left (-\sin \left (y\right )+\frac {x}{y}\right ) y^{\prime } = 0
\] |
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\[
{}y+\left (-{\mathrm e}^{-2 y}+2 x y\right ) y^{\prime } = 0
\] |
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\[
{}{\mathrm e}^{x}+\left ({\mathrm e}^{x} \cot \left (y\right )+2 \csc \left (y\right ) y\right ) y^{\prime } = 0
\] |
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\[
{}\frac {4 x^{3}}{y^{2}}+\frac {3}{y}+\left (\frac {3 x}{y^{2}}+4 y\right ) y^{\prime } = 0
\] |
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\[
{}3 x +\frac {6}{y}+\left (\frac {x^{2}}{y}+\frac {3 y}{x}\right ) y^{\prime } = 0
\] |
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\[
{}3 x y+y^{2}+\left (x y+x^{2}\right ) y^{\prime } = 0
\] |
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\[
{}y^{\prime } = \frac {x^{3}-2 y}{x}
\] |
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\[
{}y^{\prime } = \frac {1+\cos \left (x \right )}{2-\sin \left (y\right )}
\] |
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\[
{}y^{\prime } = \frac {y+2 x}{3-x +3 y^{2}}
\] |
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\[
{}y^{\prime } = 3-6 x +y-2 x y
\] |
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\[
{}y^{\prime } = \frac {-1-2 x y-y^{2}}{x^{2}+2 x y}
\] |
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\[
{}x y+x y^{\prime } = 1-y
\] |
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\[
{}y^{\prime } = \frac {4 x^{3}+1}{y \left (2+3 y\right )}
\] |
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\[
{}x y^{\prime }+2 y = \frac {\sin \left (x \right )}{x}
\] |
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\[
{}y^{\prime } = \frac {-1-2 x y}{x^{2}+2 y}
\] |
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\[
{}\frac {-x^{2}+x +1}{x^{2}}+\frac {y y^{\prime }}{y-2} = 0
\] |
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\[
{}x^{2}+y+\left ({\mathrm e}^{y}+x \right ) y^{\prime } = 0
\] |
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\[
{}y^{\prime }+y = \frac {1}{1+{\mathrm e}^{x}}
\] |
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\[
{}y^{\prime } = 1+2 x +y^{2}+2 x y^{2}
\] |
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\[
{}x +y+\left (x +2 y\right ) y^{\prime } = 0
\] |
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\[
{}\left (1+{\mathrm e}^{x}\right ) y^{\prime } = y-y \,{\mathrm e}^{x}
\] |
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\[
{}y^{\prime } = \frac {-{\mathrm e}^{2 y} \cos \left (x \right )+\cos \left (y\right ) {\mathrm e}^{-x}}{2 \,{\mathrm e}^{2 y} \sin \left (x \right )-\sin \left (y\right ) {\mathrm e}^{-x}}
\] |
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\[
{}y^{\prime } = {\mathrm e}^{2 x}+3 y
\] |
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\[
{}2 y+y^{\prime } = {\mathrm e}^{-x^{2}-2 x}
\] |
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\[
{}y^{\prime } = \frac {3 x^{2}-2 y-y^{3}}{2 x +3 x y^{2}}
\] |
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\[
{}y^{\prime } = {\mathrm e}^{x +y}
\] |
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\[
{}\frac {-4+6 x y+2 y^{2}}{3 x^{2}+4 x y+3 y^{2}}+y^{\prime } = 0
\] |
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\[
{}y^{\prime } = \frac {x^{2}-1}{1+y^{2}}
\] |
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\[
{}\left (t +1\right ) y+t y^{\prime } = {\mathrm e}^{2 t}
\] |
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\[
{}2 \cos \left (x \right ) \sin \left (x \right ) \sin \left (y\right )+\cos \left (y\right ) \sin \left (x \right )^{2} y^{\prime } = 0
\] |
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\[
{}\frac {2 x}{y}-\frac {y}{x^{2}+y^{2}}+\left (-\frac {x^{2}}{y^{2}}+\frac {x}{x^{2}+y^{2}}\right ) y^{\prime } = 0
\] |
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\[
{}x y^{\prime } = {\mathrm e}^{\frac {y}{x}} x +y
\] |
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