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Mathematica |
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\[
{}4 x -2 y y^{\prime }+x {y^{\prime }}^{2} = 0
\] |
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\[
{}2 x^{2} y+{y^{\prime }}^{2} = x^{3} y^{\prime }
\] |
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\[
{}y {y^{\prime }}^{2} = 3 x y^{\prime }+y
\] |
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\[
{}8 x +1 = y {y^{\prime }}^{2}
\] |
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\[
{}y {y^{\prime }}^{2}+2 y^{\prime }+1 = 0
\] |
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\[
{}\left (1+{y^{\prime }}^{2}\right ) x = \left (x +y\right ) y^{\prime }
\] |
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\[
{}x^{2}-3 y y^{\prime }+x {y^{\prime }}^{2} = 0
\] |
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\[
{}y+2 x y^{\prime } = x {y^{\prime }}^{2}
\] |
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\[
{}x = {y^{\prime }}^{2}+y^{\prime }
\] |
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\[
{}x = y-{y^{\prime }}^{3}
\] |
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\[
{}x +2 y y^{\prime } = x {y^{\prime }}^{2}
\] |
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\[
{}4 x -2 y y^{\prime }+x {y^{\prime }}^{2} = 0
\] |
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\[
{}x {y^{\prime }}^{3} = y y^{\prime }+1
\] |
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\[
{}y \left (1+{y^{\prime }}^{2}\right ) = 2 x y^{\prime }
\] |
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\[
{}2 x +x {y^{\prime }}^{2} = 2 y y^{\prime }
\] |
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\[
{}x = y y^{\prime }+{y^{\prime }}^{2}
\] |
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\[
{}4 x {y^{\prime }}^{2}+2 x y^{\prime } = y
\] |
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\[
{}y = y^{\prime } x \left (1+y^{\prime }\right )
\] |
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\[
{}2 x {y^{\prime }}^{3}+1 = y {y^{\prime }}^{2}
\] |
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\[
{}{y^{\prime }}^{3}+x y y^{\prime } = 2 y^{2}
\] |
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\[
{}3 {y^{\prime }}^{4} x = {y^{\prime }}^{3} y+1
\] |
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\[
{}2 {y^{\prime }}^{5}+2 x y^{\prime } = y
\] |
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\[
{}\frac {1}{{y^{\prime }}^{2}}+x y^{\prime } = 2 y
\] |
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\[
{}2 y = 3 x y^{\prime }+4+2 \ln \left (y^{\prime }\right )
\] |
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\[
{}y = x y^{\prime }+{y^{\prime }}^{2}
\] |
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\[
{}y = x y^{\prime }+\frac {1}{y^{\prime }}
\] |
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\[
{}y = x y^{\prime }-\sqrt {y^{\prime }}
\] |
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\[
{}y = x y^{\prime }+\ln \left (y^{\prime }\right )
\] |
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\[
{}y = x y^{\prime }+\frac {3}{{y^{\prime }}^{2}}
\] |
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\[
{}y = x y^{\prime }-{y^{\prime }}^{{2}/{3}}
\] |
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\[
{}y = x y^{\prime }+{\mathrm e}^{y^{\prime }}
\] |
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\[
{}\left (-x y^{\prime }+y\right )^{2} = 1+{y^{\prime }}^{2}
\] |
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\[
{}x {y^{\prime }}^{2}-y y^{\prime }-2 = 0
\] |
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\[
{}y^{2}-2 x y y^{\prime }+{y^{\prime }}^{2} \left (x^{2}-1\right ) = 0
\] |
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\[
{}y^{\prime } = \sqrt {1-y}
\] |
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\[
{}y^{\prime } = x y-x^{2}
\] |
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\[
{}y^{\prime } = x^{2} y^{2}
\] |
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\[
{}y^{\prime } = 3 x +\frac {y}{x}
\] |
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\[
{}y^{\prime } = \ln \left (x y\right )
\] |
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\[
{}y^{\prime } = 1+y^{2}
\] |
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\[
{}y^{\prime } = x^{2}+y^{2}
\] |
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\[
{}y^{\prime } = \sqrt {x y+1}
\] |
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\[
{}y^{\prime } = \cos \left (x \right )+\sin \left (y\right )
\] |
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\[
{}y^{\prime \prime }-y = \sin \left (x \right )
\] |
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\[
{}y^{\prime \prime }-2 y = {\mathrm e}^{2 x}
\] |
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\[
{}y^{\prime \prime }+2 y y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime } = \sin \left (y\right )
\] |
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\[
{}y^{\prime \prime }+\frac {{y^{\prime }}^{2}}{2}-y = 0
\] |
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\[
{}y^{\prime \prime } = \sin \left (x y\right )
\] |
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\[
{}y^{\prime \prime } = \cos \left (x y\right )
\] |
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\[
{}2 x y^{\prime \prime }+5 y^{\prime }+x y = 0
\] |
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\[
{}3 x \left (3 x +2\right ) y^{\prime \prime }-4 y^{\prime }+4 y = 0
\] |
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\[
{}x^{2} \left (x +4\right ) y^{\prime \prime }+7 x y^{\prime }-y = 0
\] |
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\[
{}2 x^{2} y^{\prime \prime }+\left (-x^{2}+x \right ) y^{\prime }-y = 0
\] |
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\[
{}2 x^{2} y^{\prime \prime }+5 x y^{\prime }+\left (1+x \right ) y = 0
\] |
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\[
{}9 x^{2} y^{\prime \prime }+\left (3 x +2\right ) y = 0
\] |
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\[
{}\left (x^{3}+2 x^{2}\right ) y^{\prime \prime }-x y^{\prime }+\left (1-x \right ) y = 0
\] |
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\[
{}2 x^{2} y^{\prime \prime }-3 \left (x^{2}+x \right ) y^{\prime }+\left (3 x +2\right ) y = 0
\] |
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\[
{}3 x^{2} y^{\prime \prime }+\left (-x^{2}+5 x \right ) y^{\prime }+\left (2 x^{2}-1\right ) y = 0
\] |
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\[
{}4 x^{2} y^{\prime \prime }+x \left (x^{2}-4\right ) y^{\prime }+3 y = 0
\] |
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\[
{}4 x^{2} y^{\prime \prime }-3 \left (x^{2}+x \right ) y^{\prime }+2 y = 0
\] |
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\[
{}9 x^{2} y^{\prime \prime }+9 \left (-x^{2}+x \right ) y^{\prime }+\left (x -1\right ) y = 0
\] |
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\[
{}4 x^{2} \left (1-x \right ) y^{\prime \prime }+3 x \left (2 x +1\right ) y^{\prime }-3 y = 0
\] |
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\[
{}2 x^{2} \left (1-3 x \right ) y^{\prime \prime }+5 x y^{\prime }-2 y = 0
\] |
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\[
{}4 x^{2} \left (1+x \right ) y^{\prime \prime }-5 x y^{\prime }+2 y = 0
\] |
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\[
{}x^{2} \left (x +4\right ) y^{\prime \prime }+x \left (x -1\right ) y^{\prime }+y = 0
\] |
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\[
{}\left (8-x \right ) x^{2} y^{\prime \prime }+6 x y^{\prime }-y = 0
\] |
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\[
{}2 x^{2} y^{\prime \prime }+x \left (x^{2}+1\right ) y^{\prime }-\left (1+x \right ) y = 0
\] |
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\[
{}2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (x^{2}+1\right ) y = 0
\] |
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\[
{}3 x^{2} y^{\prime \prime }+2 x y^{\prime }+\left (x^{2}-2\right ) y = 0
\] |
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\[
{}x^{3} \left (x^{2}+3\right ) y^{\prime \prime }+5 x y^{\prime }-\left (1+x \right ) y = 0
\] |
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\[
{}2 x y^{\prime \prime }-\left (x^{3}+1\right ) y^{\prime }+y = 0
\] |
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\[
{}x y^{\prime \prime }+y^{\prime }+2 y = 0
\] |
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\[
{}x y^{\prime \prime }+y^{\prime }+2 x y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-3 x y^{\prime }+4 \left (1+x \right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-x \left (1+x \right ) y^{\prime }+y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-x \left (2 x +3\right ) y^{\prime }+4 y = 0
\] |
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\[
{}x^{2} \left (-x^{2}+1\right ) y^{\prime \prime }-5 x y^{\prime }+9 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x \left (x^{2}-1\right ) y^{\prime }+\left (-x^{2}+1\right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x \left (2 x -1\right ) y^{\prime }+x \left (x -1\right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-x^{2} y^{\prime }+\left (x^{2}-2\right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+2 x^{2} y^{\prime }-\left (3 x^{2}+2\right ) y = 0
\] |
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\[
{}x^{2} \left (1-x \right ) y^{\prime \prime }+x \left (1+x \right ) y^{\prime }-9 y = 0
\] |
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\[
{}\left (-x^{2}+x \right ) y^{\prime \prime }-3 y^{\prime }+2 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x \left (x -7\right ) y^{\prime }+\left (x +12\right ) y = 0
\] |
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\[
{}x^{2} \left (1+x \right ) y^{\prime \prime }+x \left (x -4\right ) y^{\prime }+4 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x \left (-x^{2}+3\right ) y^{\prime }-3 y = 0
\] |
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\[
{}x y^{\prime \prime }+3 y^{\prime }-y = x
\] |
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\[
{}x y^{\prime \prime }+3 y^{\prime }-y = x
\] |
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\[
{}x y^{\prime \prime }+y^{\prime }-2 x y = x^{2}
\] |
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\[
{}x y^{\prime \prime }-x y^{\prime }+y = x^{3}
\] |
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\[
{}\left (1-2 x \right ) y^{\prime \prime }+4 x y^{\prime }-4 y = x^{2}-x
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+\left (x +12\right ) y = x^{2}+x
\] |
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\[
{}x^{2} \left (1+x \right ) y^{\prime \prime }+x \left (x^{2}+3\right ) y^{\prime }+y = -2 x^{2}+x
\] |
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\[
{}3 x^{2} \left (1+x \right ) y^{\prime \prime }+x \left (5-x \right ) y^{\prime }+\left (2 x^{2}-1\right ) y = -x^{3}+x
\] |
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\[
{}9 x^{2} y^{\prime \prime }+\left (3 x +2\right ) y = x^{4}+x^{2}
\] |
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\[
{}9 x^{2} y^{\prime \prime }+10 x y^{\prime }+y = x -1
\] |
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\[
{}2 x^{2} y^{\prime \prime }+\left (-x^{2}+x \right ) y^{\prime }-y = x^{3}+1
\] |
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\[
{}\left (-x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime }-2 y = 6 \left (-x^{2}+1\right )^{2}
\] |
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\[
{}\left (x^{2}+2 x \right ) y^{\prime \prime }-\left (2+2 x \right ) y^{\prime }+2 y = x^{2} \left (x +2\right )^{2}
\] |
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