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ODE |
Mathematica |
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\[
{}\cos \left (y\right )+\left (1+{\mathrm e}^{-x}\right ) \sin \left (y\right ) y^{\prime } = 0
\] |
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\[
{}y^{2}+x y-x y^{\prime } = 0
\] |
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\[
{}y^{\prime } = -2 \left (2 x +3 y\right )^{2}
\] |
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\[
{}x -2 \sin \left (y\right )+3+\left (2 x -4 \sin \left (y\right )-3\right ) \cos \left (y\right ) y^{\prime } = 0
\] |
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\[
{}x^{2}-y-x y^{\prime } = 0
\] |
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\[
{}x^{2}+y^{2}+2 x y y^{\prime } = 0
\] |
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\[
{}x +y \cos \left (x \right )+\sin \left (x \right ) y^{\prime } = 0
\] |
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\[
{}2 x +3 y+4+\left (3 x +4 y+5\right ) y^{\prime } = 0
\] |
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\[
{}4 x^{3} y^{3}+\frac {1}{x}+\left (3 y^{2} x^{4}-\frac {1}{y}\right ) y^{\prime } = 0
\] |
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\[
{}2 u^{2}+2 u v+\left (u^{2}+v^{2}\right ) v^{\prime } = 0
\] |
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\[
{}x \sqrt {x^{2}+y^{2}}-y+\left (y \sqrt {x^{2}+y^{2}}-x \right ) y^{\prime } = 0
\] |
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\[
{}x +y+1-\left (y-x +3\right ) y^{\prime } = 0
\] |
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\[
{}y^{2}-\frac {y}{x \left (x +y\right )}+2+\left (\frac {1}{x +y}+2 \left (1+x \right ) y\right ) y^{\prime } = 0
\] |
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\[
{}2 x y \,{\mathrm e}^{x^{2} y}+y^{2} {\mathrm e}^{x y^{2}}+1+\left (x^{2} {\mathrm e}^{x^{2} y}+2 x y \,{\mathrm e}^{x y^{2}}-2 y\right ) y^{\prime } = 0
\] |
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\[
{}y \left (x -2 y\right )-x^{2} y^{\prime } = 0
\] |
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\[
{}x^{2}+y^{2}+x y y^{\prime } = 0
\] |
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\[
{}x^{2}+y^{2}+2 x y y^{\prime } = 0
\] |
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\[
{}1-\sqrt {a^{2}-x^{2}}\, y^{\prime } = 0
\] |
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\[
{}x +y+1-\left (x -y-3\right ) y^{\prime } = 0
\] |
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\[
{}x -x^{2}-y^{2}+y y^{\prime } = 0
\] |
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\[
{}2 y-3 x +x y^{\prime } = 0
\] |
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\[
{}x -y^{2}+2 x y y^{\prime } = 0
\] |
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\[
{}-y-3 x^{2} \left (x^{2}+y^{2}\right )+x y^{\prime } = 0
\] |
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\[
{}y-\ln \left (x \right )-x y^{\prime } = 0
\] |
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\[
{}3 x^{2}+y^{2}-2 x y y^{\prime } = 0
\] |
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\[
{}x y-2 y^{2}-\left (x^{2}-3 x y\right ) y^{\prime } = 0
\] |
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\[
{}x +y-\left (x -y\right ) y^{\prime } = 0
\] |
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\[
{}2 y-3 x y^{2}-x y^{\prime } = 0
\] |
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\[
{}y+x \left (x^{2} y-1\right ) y^{\prime } = 0
\] |
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\[
{}y+x^{3} y+2 x^{2}+\left (x +4 y^{4} x +8 y^{3}\right ) y^{\prime } = 0
\] |
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\[
{}-y-{\mathrm e}^{x} x^{2}+x y^{\prime } = 0
\] |
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\[
{}1+y^{2} = \left (x^{2}+x \right ) y^{\prime }
\] |
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\[
{}2 y-x^{3}+x y^{\prime } = 0
\] |
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\[
{}y+\left (-x +y^{2}\right ) y^{\prime } = 0
\] |
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\[
{}3 y^{3}-x y-\left (x^{2}+6 x y^{2}\right ) y^{\prime } = 0
\] |
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\[
{}3 x^{2} y^{2}+4 \left (x^{3} y-3\right ) y^{\prime } = 0
\] |
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\[
{}y \left (x +y\right )-x^{2} y^{\prime } = 0
\] |
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\[
{}2 y+3 x y^{2}+\left (x +2 x^{2} y\right ) y^{\prime } = 0
\] |
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\[
{}y \left (y^{2}-2 x^{2}\right )+x \left (2 y^{2}-x^{2}\right ) y^{\prime } = 0
\] |
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\[
{}x y^{\prime }-y = 0
\] |
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\[
{}y^{\prime }+y = 2+2 x
\] |
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\[
{}y^{\prime }-y = x y
\] |
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\[
{}-3 y-\left (x -2\right ) {\mathrm e}^{x}+x y^{\prime } = 0
\] |
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\[
{}i^{\prime }-6 i = 10 \sin \left (2 t \right )
\] |
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\[
{}y^{\prime }+y = y^{2} {\mathrm e}^{x}
\] |
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\[
{}y+\left (x y+x -3 y\right ) y^{\prime } = 0
\] |
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\[
{}\left (2 s-{\mathrm e}^{2 t}\right ) s^{\prime } = 2 s \,{\mathrm e}^{2 t}-2 \cos \left (2 t \right )
\] |
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\[
{}x y^{\prime }+y-x^{3} y^{6} = 0
\] |
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\[
{}r^{\prime }+2 r \cos \left (\theta \right )+\sin \left (2 \theta \right ) = 0
\] |
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\[
{}y \left (1+y^{2}\right ) = 2 \left (1-2 x y^{2}\right ) y^{\prime }
\] |
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\[
{}y y^{\prime }-x y^{2}+x = 0
\] |
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\[
{}\left (x -x \sqrt {x^{2}-y^{2}}\right ) y^{\prime }-y = 0
\] |
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\[
{}2 x^{\prime }-\frac {x}{y}+x^{3} \cos \left (y \right ) = 0
\] |
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\[
{}x y^{\prime } = y \left (1-x \tan \left (x \right )\right )+x^{2} \cos \left (x \right )
\] |
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\[
{}2+y^{2}-\left (x y+2 y+y^{3}\right ) y^{\prime } = 0
\] |
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\[
{}1+y^{2} = \left (\arctan \left (y\right )-x \right ) y^{\prime }
\] |
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\[
{}2 x y^{5}-y+2 x y^{\prime } = 0
\] |
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\[
{}1+\sin \left (y\right ) = \left (2 y \cos \left (y\right )-x \left (\sec \left (y\right )+\tan \left (y\right )\right )\right ) y^{\prime }
\] |
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\[
{}x y^{\prime } = 2 y+{\mathrm e}^{x} x^{3}
\] |
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\[
{}L i^{\prime }+R i = E \sin \left (2 t \right )
\] |
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\[
{}x^{2} \cos \left (y\right ) y^{\prime } = 2 x \sin \left (y\right )-1
\] |
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\[
{}4 x^{2} y y^{\prime } = 3 x \left (3 y^{2}+2\right )+2 \left (3 y^{2}+2\right )^{3}
\] |
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\[
{}x y^{3}-y^{3}-{\mathrm e}^{x} x^{2}+3 y^{2} y^{\prime } x = 0
\] |
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\[
{}y^{\prime }+x \left (x +y\right ) = x^{3} \left (x +y\right )^{3}-1
\] |
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\[
{}y+{\mathrm e}^{y}-{\mathrm e}^{-x}+\left (1+{\mathrm e}^{y}\right ) y^{\prime } = 0
\] |
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\[
{}x^{2} {y^{\prime }}^{2}+x y y^{\prime }-6 y^{2} = 0
\] |
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\[
{}x {y^{\prime }}^{2}+\left (y-1-x^{2}\right ) y^{\prime }-x \left (y-1\right ) = 0
\] |
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\[
{}x {y^{\prime }}^{2}-2 y y^{\prime }+4 x = 0
\] |
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\[
{}3 x^{4} {y^{\prime }}^{2}-x y^{\prime }-y = 0
\] |
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\[
{}8 y {y^{\prime }}^{2}-2 x y^{\prime }+y = 0
\] |
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\[
{}y^{2} {y^{\prime }}^{2}+3 x y^{\prime }-y = 0
\] |
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\[
{}{y^{\prime }}^{2}-x y^{\prime }+y = 0
\] |
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\[
{}16 y^{3} {y^{\prime }}^{2}-4 x y^{\prime }+y = 0
\] |
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\[
{}x {y^{\prime }}^{5}-{y^{\prime }}^{4} y+\left (x^{2}+1\right ) {y^{\prime }}^{3}-2 x y {y^{\prime }}^{2}+\left (y^{2}+x \right ) y^{\prime }-y = 0
\] |
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\[
{}x {y^{\prime }}^{2}-y y^{\prime }-y = 0
\] |
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\[
{}y = 2 x y^{\prime }+y^{2} {y^{\prime }}^{3}
\] |
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\[
{}{y^{\prime }}^{2}-x y^{\prime }-y = 0
\] |
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\[
{}y = x \left (1+y^{\prime }\right )+{y^{\prime }}^{2}
\] |
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\[
{}y = 2 y^{\prime }+\sqrt {1+{y^{\prime }}^{2}}
\] |
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\[
{}y {y^{\prime }}^{2}-x y^{\prime }+3 y = 0
\] |
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\[
{}y = x y^{\prime }-2 {y^{\prime }}^{2}
\] |
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\[
{}y^{2} {y^{\prime }}^{2}+3 x y^{\prime }-y = 0
\] |
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\[
{}x {y^{\prime }}^{2}-2 y y^{\prime }+4 x = 0
\] |
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\[
{}x {y^{\prime }}^{2}-2 y y^{\prime }+x +2 y = 0
\] |
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\[
{}\left (3 y-1\right )^{2} {y^{\prime }}^{2} = 4 y
\] |
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\[
{}y = -x y^{\prime }+x^{4} {y^{\prime }}^{2}
\] |
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\[
{}2 y = {y^{\prime }}^{2}+4 x y^{\prime }
\] |
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\[
{}y \left (3-4 y\right )^{2} {y^{\prime }}^{2} = 4-4 y
\] |
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\[
{}{y^{\prime }}^{3}-4 x^{4} y^{\prime }+8 x^{3} y = 0
\] |
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\[
{}\left (1+{y^{\prime }}^{2}\right ) \left (x -y\right )^{2} = \left (y y^{\prime }+x \right )^{2}
\] |
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\[
{}y^{\prime \prime }+y^{\prime }-6 y = 0
\] |
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\[
{}y^{\prime \prime \prime }-6 y^{\prime \prime }+12 y^{\prime }-8 y = 0
\] |
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\[
{}y^{\prime \prime }-3 y^{\prime }+2 y = {\mathrm e}^{5 x}
\] |
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\[
{}y^{\prime \prime }+9 y = x \cos \left (x \right )
\] |
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\[
{}x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 0
\] |
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\[
{}x^{3} y^{\prime \prime \prime }+x y^{\prime }-y = 3 x^{4}
\] |
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\[
{}x y^{\prime \prime }-y^{\prime }+4 x^{3} y = 0
\] |
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\[
{}y^{\prime \prime }+{y^{\prime }}^{2}+1 = 0
\] |
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\[
{}y y^{\prime \prime }+{y^{\prime }}^{2} = 2
\] |
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\[
{}y y^{\prime \prime }+{y^{\prime }}^{3} = 0
\] |
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