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\[
{}y^{\prime } = \frac {t y}{t^{2}+1}
\] |
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\[
{}y^{\prime } = -5 y+\sin \left (3 t \right )
\] |
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\[
{}y^{\prime } = t +\frac {2 y}{t +1}
\] |
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\[
{}y^{\prime } = 3+y^{2}
\] |
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\[
{}y^{\prime } = 2 y-y^{2}
\] |
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\[
{}y^{\prime } = -3 y+{\mathrm e}^{-2 t}+t^{2}
\] |
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\[
{}x^{\prime } = -t x
\] |
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\[
{}y^{\prime } = 2 y+\cos \left (4 t \right )
\] |
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\[
{}y^{\prime } = 3 y+2 \,{\mathrm e}^{3 t}
\] |
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\[
{}y^{\prime } = t^{2} y^{3}+y^{3}
\] |
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\[
{}y^{\prime }+5 y = 3 \,{\mathrm e}^{-5 t}
\] |
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\[
{}y^{\prime } = 2 t y+3 t \,{\mathrm e}^{t^{2}}
\] |
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\[
{}y^{\prime } = \frac {\left (t +1\right )^{2}}{\left (y+1\right )^{2}}
\] |
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\[
{}y^{\prime } = 2 t y^{2}+3 t^{2} y^{2}
\] |
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\[
{}y^{\prime } = 1-y^{2}
\] |
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\[
{}y^{\prime } = \frac {t^{2}}{y+t^{3} y}
\] |
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\[
{}y^{\prime } = y^{2}-2 y+1
\] |
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\[
{}y^{\prime } = \left (y-2\right ) \left (y+1-\cos \left (t \right )\right )
\] |
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\[
{}y^{\prime } = \left (y-1\right ) \left (y-2\right ) \left (y-{\mathrm e}^{\frac {t}{2}}\right )
\] |
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\[
{}y^{\prime } = t^{2} y+1+y+t^{2}
\] |
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\[
{}y^{\prime } = \frac {2 y+1}{t}
\] |
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\[
{}y^{\prime } = 3-y^{2}
\] |
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\[
{}y^{\prime } = 3-\sin \left (x \right )
\] |
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\[
{}y^{\prime } = 3-\sin \left (y\right )
\] |
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\[
{}y^{\prime }+4 y = {\mathrm e}^{2 x}
\] |
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\[
{}x y^{\prime } = \arcsin \left (x^{2}\right )
\] |
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\[
{}y y^{\prime } = 2 x
\] |
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\[
{}y^{\prime } = 4 x^{3}
\] |
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\[
{}y^{\prime } = 20 \,{\mathrm e}^{-4 x}
\] |
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\[
{}x y^{\prime }+\sqrt {x} = 2
\] |
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\[
{}\sqrt {x +4}\, y^{\prime } = 1
\] |
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\[
{}y^{\prime } = x \cos \left (x^{2}\right )
\] |
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\[
{}y^{\prime } = x \cos \left (x \right )
\] |
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\[
{}x = \left (x^{2}-9\right ) y^{\prime }
\] |
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\[
{}1 = \left (x^{2}-9\right ) y^{\prime }
\] |
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\[
{}1 = x^{2}-9 y^{\prime }
\] |
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\[
{}y^{\prime } = 40 \,{\mathrm e}^{2 x} x
\] |
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\[
{}\left (x +6\right )^{{1}/{3}} y^{\prime } = 1
\] |
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\[
{}y^{\prime } = \frac {x -1}{1+x}
\] |
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\[
{}x y^{\prime }+2 = \sqrt {x}
\] |
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\[
{}y^{\prime } \cos \left (x \right )-\sin \left (x \right ) = 0
\] |
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\[
{}\left (x^{2}+1\right ) y^{\prime } = 1
\] |
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\[
{}y^{\prime } = \sin \left (\frac {x}{2}\right )
\] |
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\[
{}y^{\prime } = \sin \left (\frac {x}{2}\right )
\] |
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\[
{}y^{\prime } = \sin \left (\frac {x}{2}\right )
\] |
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\[
{}y^{\prime } = 3 \sqrt {x +3}
\] |
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\[
{}y^{\prime } = 3 \sqrt {x +3}
\] |
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\[
{}y^{\prime } = 3 \sqrt {x +3}
\] |
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\[
{}y^{\prime } = 3 \sqrt {x +3}
\] |
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\[
{}y^{\prime } = x \,{\mathrm e}^{-x^{2}}
\] |
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\[
{}y^{\prime } = \frac {x}{\sqrt {x^{2}+5}}
\] |
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\[
{}y^{\prime } = \frac {1}{x^{2}+1}
\] |
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\[
{}y^{\prime } = {\mathrm e}^{-9 x^{2}}
\] |
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\[
{}x y^{\prime } = \sin \left (x \right )
\] |
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\[
{}x y^{\prime } = \sin \left (x^{2}\right )
\] |
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\[
{}y^{\prime } = \left \{\begin {array}{cc} 0 & x <0 \\ 1 & 0\le x \end {array}\right .
\] |
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\[
{}y^{\prime } = \left \{\begin {array}{cc} 0 & x <1 \\ 1 & 1\le x \end {array}\right .
\] |
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\[
{}y^{\prime } = \left \{\begin {array}{cc} 0 & x <1 \\ 1 & 1\le x <2 \\ 0 & 2\le x \end {array}\right .
\] |
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\[
{}y^{\prime }+3 x y = 6 x
\] |
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\[
{}\sin \left (x +y\right )-y y^{\prime } = 0
\] |
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\[
{}y^{\prime }-y^{3} = 8
\] |
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\[
{}x^{2} y^{\prime }+x y^{2} = x
\] |
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\[
{}y^{\prime }-y^{2} = x
\] |
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\[
{}y^{3}-25 y+y^{\prime } = 0
\] |
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\[
{}\left (x -2\right ) y^{\prime } = 3+y
\] |
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\[
{}\left (y-2\right ) y^{\prime } = x -3
\] |
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\[
{}y^{\prime }+2 y-y^{2} = -2
\] |
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\[
{}y^{\prime }+\left (8-x \right ) y-y^{2} = -8 x
\] |
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\[
{}y^{\prime } = 2 \sqrt {y}
\] |
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\[
{}y^{\prime } = 3 y^{2}-y^{2} \sin \left (x \right )
\] |
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\[
{}y^{\prime } = 3 x -y \sin \left (x \right )
\] |
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\[
{}x y^{\prime } = \left (x -y\right )^{2}
\] |
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\[
{}y^{\prime } = \sqrt {x^{2}+1}
\] |
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\[
{}y^{\prime }+4 y = 8
\] |
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\[
{}y^{\prime }+x y = 4 x
\] |
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\[
{}y^{\prime }+4 y = x^{2}
\] |
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\[
{}y^{\prime } = x y-3 x -2 y+6
\] |
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\[
{}y^{\prime } = \sin \left (x +y\right )
\] |
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\[
{}y y^{\prime } = {\mathrm e}^{x -3 y^{2}}
\] |
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\[
{}y^{\prime } = \frac {x}{y}
\] |
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\[
{}y^{\prime } = y^{2}+9
\] |
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\[
{}x y y^{\prime } = y^{2}+9
\] |
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\[
{}y^{\prime } = \frac {1+y^{2}}{x^{2}+1}
\] |
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\[
{}\cos \left (y\right ) y^{\prime } = \sin \left (x \right )
\] |
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\[
{}y^{\prime } = {\mathrm e}^{2 x -3 y}
\] |
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\[
{}y^{\prime } = \frac {x}{y}
\] |
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\[
{}y^{\prime } = 2 x -1+2 x y-y
\] |
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\[
{}y y^{\prime } = x y^{2}+x
\] |
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\[
{}y y^{\prime } = 3 \sqrt {x y^{2}+9 x}
\] |
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\[
{}y^{\prime } = x y-4 x
\] |
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\[
{}y^{\prime }-4 y = 2
\] |
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\[
{}y y^{\prime } = x y^{2}-9 x
\] |
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\[
{}y^{\prime } = \sin \left (y\right )
\] |
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\[
{}y^{\prime } = {\mathrm e}^{y^{2}+x}
\] |
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\[
{}y^{\prime } = 200 y-2 y^{2}
\] |
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\[
{}y^{\prime } = x y-4 x
\] |
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\[
{}y^{\prime } = x y-3 x -2 y+6
\] |
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\[
{}y^{\prime } = 3 y^{2}-y^{2} \sin \left (x \right )
\] |
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\[
{}y^{\prime } = \tan \left (y\right )
\] |
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\[
{}y^{\prime } = \frac {y}{x}
\] |
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