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