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ODE |
Mathematica |
Maple |
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\[
{}{\mathrm e}^{y}+y \cos \left (x \right )+\left (x \,{\mathrm e}^{y}+\sin \left (x \right )\right ) y^{\prime } = 0
\] |
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\[
{}9 x^{2} y^{2}+x^{{3}/{2}} y^{\prime } = y^{2}
\] |
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\[
{}2 y+\left (1+x \right ) y^{\prime } = 3 x +3
\] |
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\[
{}9 \sqrt {x}\, y^{{4}/{3}}-12 x^{{1}/{5}} y^{{3}/{2}}+\left (8 x^{{3}/{2}} y^{{1}/{3}}-15 x^{{6}/{5}} \sqrt {y}\right ) y^{\prime } = 0
\] |
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\[
{}3 y+y^{4} x^{3}+3 x y^{\prime } = 0
\] |
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\[
{}x y^{\prime }+y = 2 \,{\mathrm e}^{2 x}
\] |
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\[
{}\left (2 x +1\right ) y^{\prime }+y = \left (2 x +1\right )^{{3}/{2}}
\] |
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\[
{}y^{\prime } = \sqrt {x +y}
\] |
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\[
{}y^{\prime } = 3 \left (y+7\right ) x^{2}
\] |
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\[
{}y^{\prime } = x y^{3}-x y
\] |
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\[
{}y^{\prime } = -\frac {3 x^{2}+2 y^{2}}{4 x y}
\] |
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\[
{}y^{\prime } = \frac {3 y+x}{-3 x +y}
\] |
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\[
{}y^{\prime } = \frac {2 x y+2 x}{x^{2}+1}
\] |
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\[
{}y^{\prime } = \frac {\sqrt {y}-y}{\tan \left (x \right )}
\] |
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\[
{}y^{\prime \prime }-y = 0
\] |
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\[
{}y^{\prime \prime }-9 y = 0
\] |
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\[
{}y^{\prime \prime }+4 y = 0
\] |
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\[
{}y^{\prime \prime }+25 y = 0
\] |
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\[
{}y^{\prime \prime }-3 y^{\prime }+2 y = 0
\] |
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\[
{}y^{\prime \prime }+y^{\prime }-6 y = 0
\] |
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\[
{}y^{\prime \prime }+y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime }-3 y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }-10 y^{\prime }+25 y = 0
\] |
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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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\[
{}x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+2 x y^{\prime }-6 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+y = 0
\] |
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\[
{}y^{\prime }+y^{2} = 0
\] |
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\[
{}y y^{\prime \prime } = 6 x^{4}
\] |
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\[
{}y y^{\prime \prime }+{y^{\prime }}^{2} = 0
\] |
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\[
{}y^{\prime \prime }-3 y^{\prime }+2 y = 0
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }-15 y = 0
\] |
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\[
{}y^{\prime \prime }+5 y^{\prime } = 0
\] |
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\[
{}2 y^{\prime \prime }+3 y^{\prime } = 0
\] |
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\[
{}2 y^{\prime \prime }-y^{\prime }-y = 0
\] |
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\[
{}4 y^{\prime \prime }+8 y^{\prime }+3 y = 0
\] |
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\[
{}4 y^{\prime \prime }+4 y^{\prime }+y = 0
\] |
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\[
{}9 y^{\prime \prime }-12 y^{\prime }+4 y = 0
\] |
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\[
{}6 y^{\prime \prime }-7 y^{\prime }-20 y = 0
\] |
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\[
{}35 y^{\prime \prime }-y^{\prime }-12 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+2 x y^{\prime }-12 y = 0
\] |
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\[
{}4 x^{2} y^{\prime \prime }+8 x y^{\prime }-3 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime } = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 0
\] |
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\[
{}y^{\prime \prime \prime }+2 y^{\prime \prime }-y^{\prime }-2 y = 0
\] |
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\[
{}y^{\prime \prime \prime }-6 y^{\prime \prime }+11 y^{\prime }-6 y = 0
\] |
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\[
{}y^{\prime \prime \prime }-3 y^{\prime \prime }+3 y^{\prime }-y = 0
\] |
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\[
{}y^{\prime \prime \prime }-5 y^{\prime \prime }+8 y^{\prime }-4 y = 0
\] |
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\[
{}y^{\prime \prime \prime }+9 y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime \prime }-3 y^{\prime \prime }+4 y^{\prime }-2 y = 0
\] |
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\[
{}x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+6 x y^{\prime }-6 y = 0
\] |
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\[
{}x^{3} y^{\prime \prime \prime }+6 x^{2} y^{\prime \prime }+4 x y^{\prime }-4 y = 0
\] |
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\[
{}y^{\prime \prime }+y = 3 x
\] |
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\[
{}y^{\prime \prime }-4 y = 12
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }-3 y = 6
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+2 y = 2 x
\] |
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\[
{}y^{\prime \prime }+2 y = 6 x +4
\] |
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\[
{}x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }-5 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }-9 y = 0
\] |
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\[
{}4 y^{\prime \prime }-4 y^{\prime }+y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-x \left (x +2\right ) y^{\prime }+\left (x +2\right ) y = 0
\] |
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\[
{}\left (1+x \right ) y^{\prime \prime }-\left (x +2\right ) y^{\prime }+y = 0
\] |
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\[
{}\left (-x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime }-2 y = 0
\] |
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\[
{}\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0
\] |
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\[
{}y^{\prime \prime }-4 y = 0
\] |
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\[
{}2 y^{\prime \prime }-3 y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime }+y^{\prime }-10 y = 0
\] |
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\[
{}2 y^{\prime \prime }-7 y^{\prime }+3 y = 0
\] |
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\[
{}y^{\prime \prime }+6 y^{\prime }+9 y = 0
\] |
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\[
{}y^{\prime \prime }+5 y^{\prime }+5 y = 0
\] |
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\[
{}4 y^{\prime \prime }-12 y^{\prime }+9 y = 0
\] |
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\[
{}y^{\prime \prime }-6 y^{\prime }+13 y = 0
\] |
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\[
{}y^{\prime \prime }+8 y^{\prime }+25 y = 0
\] |
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\[
{}5 y^{\prime \prime \prime \prime }+3 y^{\prime \prime \prime } = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+16 y^{\prime \prime } = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }+3 y^{\prime \prime }-y^{\prime } = 0
\] |
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\[
{}9 y^{\prime \prime \prime }+12 y^{\prime \prime }+4 y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }+3 y^{\prime \prime }-4 y = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }-8 y^{\prime \prime }+16 y = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }+18 y^{\prime \prime }+81 y = 0
\] |
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\[
{}6 y^{\prime \prime \prime \prime }+11 y^{\prime \prime }+4 y = 0
\] |
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\[
{}y^{\prime \prime \prime \prime } = 16 y
\] |
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\[
{}y^{\prime \prime \prime }+y^{\prime \prime }-y^{\prime }-y = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+3 y^{\prime \prime }+2 y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }-4 y^{\prime }+3 y = 0
\] |
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\[
{}9 y^{\prime \prime }+6 y^{\prime }+4 y = 0
\] |
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\[
{}y^{\prime \prime }-6 y^{\prime }+25 y = 0
\] |
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\[
{}2 y^{\prime \prime \prime }-3 y^{\prime \prime }-2 y^{\prime } = 0
\] |
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\[
{}3 y^{\prime \prime \prime }+2 y^{\prime \prime } = 0
\] |
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\[
{}y^{\prime \prime \prime }+10 y^{\prime \prime }+25 y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime \prime }+3 y^{\prime \prime }-4 y = 0
\] |
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\[
{}2 y^{\prime \prime \prime }-y^{\prime \prime }-5 y^{\prime }-2 y = 0
\] |
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\[
{}y^{\prime \prime \prime }+27 y = 0
\] |
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\[
{}y^{\prime \prime \prime \prime }-y^{\prime \prime \prime }+y^{\prime \prime }-3 y^{\prime }-6 y = 0
\] |
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