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\[
{} x y^{\prime } = \sqrt {1-y^{2}}
\]
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\[
{} y y^{\prime } = \left (x +x y^{2}\right ) {\mathrm e}^{x^{2}}
\]
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\[
{} y^{\prime } = \frac {x^{2}+{\mathrm e}^{-x}}{y^{2}-{\mathrm e}^{y}}
\]
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\[
{} y^{\prime } = \frac {x^{2}}{1+y^{2}}
\]
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\[
{} y^{\prime } = \frac {\sec \left (x \right )^{2}}{y^{3}+1}
\]
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\[
{} y^{\prime } = 4 \sqrt {x y}
\]
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\[
{} y^{\prime } = x \left (y-y^{2}\right )
\]
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\[
{} y^{\prime } = \left (1-12 x \right ) y^{2}
\]
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\[
{} y^{\prime } = \frac {3-2 x}{y}
\]
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\[
{} x +y \,{\mathrm e}^{-x} y^{\prime } = 0
\]
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\[
{} r^{\prime } = \frac {r^{2}}{\theta }
\]
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\[
{} y^{\prime } = \frac {3 x}{y+x^{2} y}
\]
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\[
{} y^{\prime } = \frac {2 x}{1+2 y}
\]
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\[
{} y^{\prime } = 2 x y^{2}+4 x^{3} y^{2}
\]
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\[
{} y^{\prime } = x^{2} {\mathrm e}^{-3 y}
\]
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\[
{} y^{\prime } = \left (1+y^{2}\right ) \tan \left (2 x \right )
\]
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\[
{} y^{\prime } = \frac {x \left (x^{2}+1\right ) y^{5}}{6}
\]
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\[
{} y^{\prime } = \frac {3 x^{2}-{\mathrm e}^{x}}{2 y-11}
\]
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\[
{} x^{2} y^{\prime } = y-x y
\]
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\[
{} y^{\prime } = \frac {{\mathrm e}^{-x}-{\mathrm e}^{x}}{3+4 y}
\]
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\[
{} 2 y y^{\prime } = \frac {x}{\sqrt {x^{2}-4}}
\]
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\[
{} \sin \left (2 x \right )+\cos \left (3 y\right ) y^{\prime } = 0
\]
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\[
{} y^{2} \sqrt {-x^{2}+1}\, y^{\prime } = \arcsin \left (x \right )
\]
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\[
{} y^{\prime } = \frac {3 x^{2}+1}{12 y^{2}-12 y}
\]
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\[
{} y^{\prime } = \frac {2 x^{2}}{2 y^{2}-6}
\]
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\[
{} y^{\prime } = 2 y^{2}+x y^{2}
\]
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\[
{} y^{\prime } = \frac {6-{\mathrm e}^{x}}{3+2 y}
\]
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\[
{} y^{\prime } = \frac {2 \cos \left (2 x \right )}{10+2 y}
\]
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\[
{} y^{\prime } = 2 \left (1+x \right ) \left (1+y^{2}\right )
\]
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\[
{} y^{\prime } = \frac {t y \left (4-y\right )}{3}
\]
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\[
{} y^{\prime } = \frac {t y \left (4-y\right )}{t +1}
\]
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\[
{} y^{\prime } = \frac {a y+b}{c y+d}
\]
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\[
{} y^{\prime }+4 y = t +{\mathrm e}^{-2 t}
\]
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\[
{} y^{\prime }-2 y = t^{2} {\mathrm e}^{2 t}
\]
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\[
{} y^{\prime }+y = t \,{\mathrm e}^{-t}+1
\]
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\[
{} y^{\prime }+\frac {y}{t} = 5+\cos \left (2 t \right )
\]
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\[
{} y^{\prime }-2 y = 3 \,{\mathrm e}^{t}
\]
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\[
{} t y^{\prime }+2 y = \sin \left (t \right )
\]
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\[
{} y^{\prime }+2 t y = 16 t \,{\mathrm e}^{-t^{2}}
\]
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\[
{} \left (t^{2}+1\right ) y^{\prime }+4 t y = \frac {1}{\left (t^{2}+1\right )^{2}}
\]
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\[
{} 2 y^{\prime }+y = 3 t
\]
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\[
{} t y^{\prime }-y = t^{3} {\mathrm e}^{-t}
\]
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\[
{} y^{\prime }+y = 5 \sin \left (2 t \right )
\]
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\[
{} 2 y^{\prime }+y = 3 t^{2}
\]
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\[
{} y^{\prime }-y = 2 t \,{\mathrm e}^{2 t}
\]
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\[
{} y^{\prime }+2 y = t \,{\mathrm e}^{-2 t}
\]
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\[
{} t y^{\prime }+4 y = t^{2}-t +1
\]
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\[
{} y^{\prime }+\frac {2 y}{t} = \frac {\cos \left (t \right )}{t^{2}}
\]
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\[
{} y^{\prime }-2 y = {\mathrm e}^{2 t}
\]
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\[
{} t y^{\prime }+2 y = \sin \left (t \right )
\]
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\[
{} t^{3} y^{\prime }+4 t^{2} y = {\mathrm e}^{-t}
\]
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\[
{} t y^{\prime }+\left (t +1\right ) y = t
\]
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\[
{} y^{\prime }-\frac {y}{3} = 3 \cos \left (t \right )
\]
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\[
{} 2 y^{\prime }-y = {\mathrm e}^{\frac {t}{3}}
\]
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\[
{} 3 y^{\prime }-2 y = {\mathrm e}^{-\frac {\pi t}{2}}
\]
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\[
{} t y^{\prime }+\left (t +1\right ) y = 2 t \,{\mathrm e}^{-t}
\]
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\[
{} t y^{\prime }+2 y = \frac {\sin \left (t \right )}{t}
\]
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\[
{} \sin \left (t \right ) y^{\prime }+y \cos \left (t \right ) = {\mathrm e}^{t}
\]
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\[
{} y^{\prime }+\frac {y}{2} = 2 \cos \left (t \right )
\]
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\[
{} y^{\prime }+\frac {4 y}{3} = 1-\frac {t}{4}
\]
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\[
{} y^{\prime }+\frac {y}{4} = 3+2 \cos \left (2 t \right )
\]
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\[
{} y^{\prime }-y = 1+3 \sin \left (t \right )
\]
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\[
{} y^{\prime }-\frac {3 y}{2} = 3 t +3 \,{\mathrm e}^{t}
\]
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\[
{} y^{\prime }-6 y = t^{6} {\mathrm e}^{6 t}
\]
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\[
{} y^{\prime }+\frac {y}{t} = 3 \cos \left (2 t \right )
\]
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\[
{} t y^{\prime }+2 y = \sin \left (t \right )
\]
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\[
{} 2 y^{\prime }+y = 3 t^{2}
\]
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\[
{} \left (t -3\right ) y^{\prime }+\ln \left (t \right ) y = 2 t
\]
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\[
{} t \left (t -4\right ) y^{\prime }+y = 0
\]
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\[
{} y^{\prime }+\tan \left (t \right ) y = \sin \left (t \right )
\]
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\[
{} \left (-t^{2}+4\right ) y^{\prime }+2 t y = 3 t^{2}
\]
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\[
{} \left (-t^{2}+4\right ) y^{\prime }+2 t y = 3 t^{2}
\]
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\[
{} \ln \left (t \right ) y^{\prime }+y = \cot \left (t \right )
\]
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\[
{} y^{\prime } = \frac {t -y}{2 t +5 y}
\]
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\[
{} y^{\prime } = \sqrt {1-t^{2}-y^{2}}
\]
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\[
{} y^{\prime } = \frac {\ln \left (t y\right )}{1-t^{2}+y^{2}}
\]
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\[
{} y^{\prime } = \left (t^{2}+y^{2}\right )^{{3}/{2}}
\]
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\[
{} y^{\prime } = \frac {t^{2}+1}{3 y-y^{2}}
\]
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\[
{} y^{\prime } = \frac {\cot \left (t \right ) y}{1+y}
\]
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\[
{} y^{\prime } = y^{{1}/{3}}
\]
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\[
{} y^{\prime } = -\frac {t}{2}+\frac {\sqrt {t^{2}+4 y}}{2}
\]
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\[
{} y^{\prime } = -\frac {4 t}{y}
\]
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\[
{} y^{\prime } = 2 t y^{2}
\]
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\[
{} y^{\prime }+y^{3} = 0
\]
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\[
{} y^{\prime } = \frac {t^{2}}{y \left (t^{3}+1\right )}
\]
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\[
{} y^{\prime } = t y \left (3-y\right )
\]
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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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\[
{} y^{\prime }+2 y = \left \{\begin {array}{cc} 1 & 0\le t \le 1 \\ 0 & 1<t \end {array}\right .
\]
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\[
{} y^{\prime }+\left (\left \{\begin {array}{cc} 2 & 0\le t \le 1 \\ 1 & 1<t \end {array}\right .\right ) y = 0
\]
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\[
{} 2 x +3+\left (2 y-2\right ) y^{\prime } = 0
\]
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\[
{} 2 x +4 y+\left (2 x -2 y\right ) y^{\prime } = 0
\]
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\[
{} 3 x^{2}-2 x y+2+\left (6 y^{2}-x^{2}+3\right ) y^{\prime } = 0
\]
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\[
{} 2 x y^{2}+2 y+\left (2 x^{2} y+2 x \right ) y^{\prime } = 0
\]
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\[
{} y^{\prime } = -\frac {4 x +2 y}{2 x +3 y}
\]
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\[
{} y^{\prime } = -\frac {4 x -2 y}{2 x -3 y}
\]
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\[
{} {\mathrm e}^{x} \sin \left (y\right )-2 y \sin \left (x \right )+\left ({\mathrm e}^{x} \cos \left (y\right )+2 \cos \left (x \right )\right ) y^{\prime } = 0
\]
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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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\[
{} y \,{\mathrm e}^{x y} \cos \left (2 x \right )-2 \,{\mathrm e}^{x y} \sin \left (2 x \right )+2 x +\left (x \,{\mathrm e}^{x y} \cos \left (2 x \right )-3\right ) y^{\prime } = 0
\]
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\[
{} \frac {y}{x}+6 x +\left (\ln \left (x \right )-2\right ) y^{\prime } = 0
\]
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