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ODE |
Mathematica |
Maple |
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\[
{}2 x -2 \,{\mathrm e}^{x y} \sin \left (2 x \right )+{\mathrm e}^{x y} \cos \left (2 x \right ) y+\left (-3+{\mathrm e}^{x y} x \cos \left (2 x \right )\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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\[
{}x \ln \left (x \right )+x y+\left (y \ln \left (x \right )+x y\right ) y^{\prime } = 0
\] |
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\[
{}\frac {x}{\left (x^{2}+y^{2}\right )^{{3}/{2}}}+\frac {y y^{\prime }}{\left (x^{2}+y^{2}\right )^{{3}/{2}}} = 0
\] |
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\[
{}2 x -y+\left (-x +2 y\right ) y^{\prime } = 0
\] |
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\[
{}-1+9 x^{2}+y+\left (-4 y+x \right ) y^{\prime } = 0
\] |
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\[
{}x^{2} y^{3}+x \left (1+y^{2}\right ) y^{\prime } = 0
\] |
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\[
{}y+\left (2 x -{\mathrm e}^{y} y\right ) y^{\prime } = 0
\] |
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\[
{}\left (x +2\right ) \sin \left (y\right )+x \cos \left (y\right ) y^{\prime } = 0
\] |
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\[
{}2 x y+3 x^{2} y+y^{3}+\left (x^{2}+y^{2}\right ) y^{\prime } = 0
\] |
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\[
{}y^{\prime } = -1+{\mathrm e}^{2 x}+y
\] |
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\[
{}1+\left (-\sin \left (y\right )+\frac {x}{y}\right ) y^{\prime } = 0
\] |
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\[
{}y+\left (-{\mathrm e}^{-2 y}+2 x y\right ) y^{\prime } = 0
\] |
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\[
{}{\mathrm e}^{x}+\left ({\mathrm e}^{x} \cot \left (y\right )+2 \csc \left (y\right ) y\right ) y^{\prime } = 0
\] |
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\[
{}\frac {4 x^{3}}{y^{2}}+\frac {3}{y}+\left (\frac {3 x}{y^{2}}+4 y\right ) y^{\prime } = 0
\] |
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\[
{}3 x +\frac {6}{y}+\left (\frac {x^{2}}{y}+\frac {3 y}{x}\right ) y^{\prime } = 0
\] |
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\[
{}3 x y+y^{2}+\left (x y+x^{2}\right ) y^{\prime } = 0
\] |
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\[
{}y^{\prime } = \frac {x^{3}-2 y}{x}
\] |
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\[
{}y^{\prime } = \frac {1+\cos \left (x \right )}{2-\sin \left (y\right )}
\] |
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\[
{}y^{\prime } = \frac {y+2 x}{3-x +3 y^{2}}
\] |
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\[
{}y^{\prime } = 3-6 x +y-2 x y
\] |
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\[
{}y^{\prime } = \frac {-1-2 x y-y^{2}}{x^{2}+2 x y}
\] |
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\[
{}x y+x y^{\prime } = 1-y
\] |
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\[
{}y^{\prime } = \frac {4 x^{3}+1}{y \left (2+3 y\right )}
\] |
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\[
{}2 y+x y^{\prime } = \frac {\sin \left (x \right )}{x}
\] |
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\[
{}y^{\prime } = \frac {-1-2 x y}{x^{2}+2 y}
\] |
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\[
{}\frac {-x^{2}+x +1}{x^{2}}+\frac {y y^{\prime }}{y-2} = 0
\] |
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\[
{}x^{2}+y+\left ({\mathrm e}^{y}+x \right ) y^{\prime } = 0
\] |
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\[
{}y^{\prime }+y = \frac {1}{1+{\mathrm e}^{x}}
\] |
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\[
{}y^{\prime } = 1+2 x +y^{2}+2 x y^{2}
\] |
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\[
{}x +y+\left (x +2 y\right ) y^{\prime } = 0
\] |
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\[
{}\left (1+{\mathrm e}^{x}\right ) y^{\prime } = y-y \,{\mathrm e}^{x}
\] |
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\[
{}y^{\prime } = \frac {-{\mathrm e}^{2 y} \cos \left (x \right )+\cos \left (y\right ) {\mathrm e}^{-x}}{2 \,{\mathrm e}^{2 y} \sin \left (x \right )-\sin \left (y\right ) {\mathrm e}^{-x}}
\] |
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\[
{}y^{\prime } = {\mathrm e}^{2 x}+3 y
\] |
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\[
{}2 y+y^{\prime } = {\mathrm e}^{-x^{2}-2 x}
\] |
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\[
{}y^{\prime } = \frac {3 x^{2}-2 y-y^{3}}{2 x +3 x y^{2}}
\] |
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\[
{}y^{\prime } = {\mathrm e}^{x +y}
\] |
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\[
{}\frac {-4+6 x y+2 y^{2}}{3 x^{2}+4 x y+3 y^{2}}+y^{\prime } = 0
\] |
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\[
{}y^{\prime } = \frac {x^{2}-1}{1+y^{2}}
\] |
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\[
{}\left (t +1\right ) y+t y^{\prime } = {\mathrm e}^{2 t}
\] |
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\[
{}2 \cos \left (x \right ) \sin \left (x \right ) \sin \left (y\right )+\cos \left (y\right ) \sin \left (x \right )^{2} y^{\prime } = 0
\] |
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\[
{}\frac {2 x}{y}-\frac {y}{x^{2}+y^{2}}+\left (-\frac {x^{2}}{y^{2}}+\frac {x}{x^{2}+y^{2}}\right ) y^{\prime } = 0
\] |
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\[
{}x y^{\prime } = {\mathrm e}^{\frac {y}{x}} x +y
\] |
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\[
{}y^{\prime } = \frac {x}{x^{2}+y+y^{3}}
\] |
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\[
{}3 t +2 y = -t y^{\prime }
\] |
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\[
{}y^{\prime } = \frac {x +y}{x -y}
\] |
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\[
{}2 x y+3 y^{2}-\left (x^{2}+2 x y\right ) y^{\prime } = 0
\] |
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\[
{}y^{\prime } = \frac {-3 x^{2} y-y^{2}}{2 x^{3}+3 x y}
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }-3 y = 0
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }+2 y = 0
\] |
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\[
{}6 y^{\prime \prime }-y^{\prime }-y = 0
\] |
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\[
{}2 y^{\prime \prime }-3 y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }+5 y^{\prime } = 0
\] |
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\[
{}4 y^{\prime \prime }-9 y = 0
\] |
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\[
{}y^{\prime \prime }-9 y^{\prime }+9 y = 0
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }-2 y = 0
\] |
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\[
{}y^{\prime \prime }+y^{\prime }-2 y = 0
\] |
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\[
{}y^{\prime \prime }+4 y^{\prime }+3 y = 0
\] |
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\[
{}6 y^{\prime \prime }-5 y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime }+5 y^{\prime }+3 y = 0
\] |
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\[
{}2 y^{\prime \prime }+y^{\prime }-4 y = 0
\] |
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\[
{}y^{\prime \prime }+8 y^{\prime }-9 y = 0
\] |
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\[
{}4 y^{\prime \prime }-y = 0
\] |
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\[
{}y^{\prime \prime }-y = 0
\] |
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\[
{}2 y^{\prime \prime }-3 y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-2 y = 0
\] |
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\[
{}4 y^{\prime \prime }-y = 0
\] |
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\[
{}y^{\prime \prime }-\left (2 \alpha -1\right ) y^{\prime }+\alpha \left (\alpha -1\right ) y = 0
\] |
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\[
{}y^{\prime \prime }+\left (3-\alpha \right ) y^{\prime }-2 \left (\alpha -1\right ) y = 0
\] |
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\[
{}2 y^{\prime \prime }+3 y^{\prime }-2 y = 0
\] |
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\[
{}y^{\prime \prime }+5 y^{\prime }+6 y = 0
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+2 y = 0
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+6 y = 0
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }-8 y = 0
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+2 y = 0
\] |
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\[
{}y^{\prime \prime }+6 y^{\prime }+13 y = 0
\] |
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\[
{}4 y^{\prime \prime }+9 y = 0
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+\frac {5 y}{4} = 0
\] |
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\[
{}9 y^{\prime \prime }+9 y^{\prime }-4 y = 0
\] |
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\[
{}y^{\prime \prime }+y^{\prime }+\frac {5 y}{4} = 0
\] |
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\[
{}y^{\prime \prime }+4 y^{\prime }+\frac {25 y}{4} = 0
\] |
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\[
{}y^{\prime \prime }+4 y = 0
\] |
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\[
{}y^{\prime \prime }+4 y^{\prime }+5 y = 0
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+5 y = 0
\] |
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\[
{}y^{\prime \prime }+y = 0
\] |
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\[
{}y^{\prime \prime }+y^{\prime }+\frac {5 y}{4} = 0
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+2 y = 0
\] |
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\[
{}u^{\prime \prime }-u^{\prime }+2 u = 0
\] |
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\[
{}5 u^{\prime \prime }+2 u^{\prime }+7 u = 0
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+6 y = 0
\] |
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\[
{}y^{\prime \prime }+2 a y^{\prime }+\left (a^{2}+1\right ) y = 0
\] |
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\[
{}t^{2} y^{\prime \prime }+t y^{\prime }+y = 0
\] |
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\[
{}t^{2} y^{\prime \prime }+4 t y^{\prime }+2 y = 0
\] |
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\[
{}t^{2} y^{\prime \prime }+3 t y^{\prime }+\frac {5 y}{4} = 0
\] |
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\[
{}t^{2} y^{\prime \prime }-4 t y^{\prime }-6 y = 0
\] |
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\[
{}t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y = 0
\] |
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\[
{}t^{2} y^{\prime \prime }-t y^{\prime }+5 y = 0
\] |
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\[
{}t^{2} y^{\prime \prime }+3 t y^{\prime }-3 y = 0
\] |
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\[
{}t^{2} y^{\prime \prime }+7 t y^{\prime }+10 y = 0
\] |
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