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ODE |
Mathematica |
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\[
{}x y^{\prime \prime }-\left (2 x^{2}+1\right ) y^{\prime } = 4 x^{3} {\mathrm e}^{x^{2}}
\] |
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\[
{}y^{\prime \prime }-2 \tan \left (x \right ) y^{\prime } = 1
\] |
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\[
{}x \ln \left (x \right ) y^{\prime \prime }-y^{\prime } = \ln \left (x \right )^{2}
\] |
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\[
{}x y^{\prime \prime }+\left (2 x -1\right ) y^{\prime } = -4 x^{2}
\] |
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\[
{}y^{\prime \prime }+\tan \left (x \right ) y^{\prime } = \cos \left (x \right ) \cot \left (x \right )
\] |
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\[
{}4 x y^{\prime \prime }+2 y^{\prime }+y = 1
\] |
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\[
{}4 x y^{\prime \prime }+2 y^{\prime }+y = \frac {6+x}{x^{2}}
\] |
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\[
{}\left (x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime } = \frac {1}{x^{2}+1}
\] |
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\[
{}\left (1-x \right ) y^{\prime \prime }+x y^{\prime }-y = \left (x -1\right )^{2} {\mathrm e}^{x}
\] |
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\[
{}2 x^{2} \left (2-\ln \left (x \right )\right ) y^{\prime \prime }+x \left (4-\ln \left (x \right )\right ) y^{\prime }-y = \frac {\left (2-\ln \left (x \right )\right )^{2}}{\sqrt {x}}
\] |
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\[
{}y^{\prime \prime }+\frac {2 y^{\prime }}{x}-y = 4 \,{\mathrm e}^{x}
\] |
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\[
{}x^{3} \left (-1+\ln \left (x \right )\right ) y^{\prime \prime }-x^{2} y^{\prime }+x y = 2 \ln \left (x \right )
\] |
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\[
{}\left (x^{2}-2 x \right ) y^{\prime \prime }+\left (-x^{2}+2\right ) y^{\prime }-2 \left (1-x \right ) y = 2 x -2
\] |
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\[
{}x^{\prime \prime }+x^{\prime }+x = 0
\] |
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\[
{}x^{\prime \prime }+2 x^{\prime }+6 x = 0
\] |
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\[
{}x^{\prime \prime }+2 x^{\prime }+x = 0
\] |
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\[
{}y^{\prime \prime }+\lambda y = 0
\] |
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\[
{}y^{\prime \prime }+\lambda y = 0
\] |
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\[
{}y^{\prime \prime }-y = 0
\] |
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\[
{}y^{\prime \prime }+y = 0
\] |
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\[
{}y^{\prime \prime }+y = 0
\] |
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\[
{}y^{\prime \prime }-y = 0
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+2 y = 0
\] |
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\[
{}y^{\prime \prime }+\alpha y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime }+\alpha ^{2} y = 1
\] |
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\[
{}y^{\prime \prime }+y = 1
\] |
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\[
{}y^{\prime \prime }+\lambda ^{2} y = 0
\] |
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\[
{}y^{\prime \prime }+\lambda ^{2} y = 0
\] |
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\[
{}x y^{\prime \prime }+y^{\prime } = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+\left (4 x^{2}-\frac {1}{9}\right ) y = 0
\] |
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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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\[
{}y^{\prime \prime }+\frac {y^{\prime }}{x}+\frac {y}{9} = 0
\] |
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\[
{}y^{\prime \prime }+\frac {y^{\prime }}{x}+4 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-2 x y^{\prime }+4 \left (x^{4}-1\right ) y = 0
\] |
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\[
{}x y^{\prime \prime }+\frac {y^{\prime }}{2}+\frac {y}{4} = 0
\] |
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\[
{}y^{\prime \prime }+\frac {5 y^{\prime }}{x}+y = 0
\] |
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\[
{}y^{\prime \prime }+\frac {3 y^{\prime }}{x}+4 y = 0
\] |
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\[
{}y^{\prime \prime }+4 y = \cos \left (x \right )^{2}
\] |
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\[
{}y^{\prime \prime }-4 y^{\prime }+4 y = \pi ^{2}-x^{2}
\] |
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\[
{}y^{\prime \prime }-4 y = \cos \left (\pi x \right )
\] |
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\[
{}y^{\prime \prime }-4 y^{\prime }+4 y = \arcsin \left (\sin \left (x \right )\right )
\] |
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\[
{}y^{\prime \prime }+9 y = \sin \left (x \right )^{3}
\] |
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\[
{}x^{\prime \prime } = 0
\] |
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\[
{}x^{\prime \prime } = 1
\] |
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\[
{}x^{\prime \prime } = \cos \left (t \right )
\] |
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\[
{}x^{\prime \prime }+x^{\prime } = 0
\] |
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\[
{}x^{\prime \prime }+x^{\prime } = 0
\] |
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\[
{}x^{\prime \prime }-x^{\prime } = 1
\] |
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\[
{}x^{\prime \prime }+x = t
\] |
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\[
{}x^{\prime \prime }+6 x^{\prime } = 12 t +2
\] |
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\[
{}x^{\prime \prime }-2 x^{\prime }+2 x = 2
\] |
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\[
{}x^{\prime \prime }+4 x^{\prime }+4 x = 4
\] |
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\[
{}2 x^{\prime \prime }-2 x^{\prime } = \left (t +1\right ) {\mathrm e}^{t}
\] |
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\[
{}x^{\prime \prime }+x = 2 \cos \left (t \right )
\] |
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\[
{}y^{\prime \prime }+t y = 0
\] |
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\[
{}\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+\alpha \left (\alpha +1\right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+\left (-\nu ^{2}+x^{2}\right ) y = 0
\] |
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\[
{}y^{\prime \prime }-t y = \frac {1}{\pi }
\] |
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\[
{}a \,x^{2} y^{\prime \prime }+b x y^{\prime }+c y = d
\] |
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\[
{}y^{\prime \prime }+y = 0
\] |
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\[
{}y^{\prime \prime }+9 y = 0
\] |
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\[
{}y^{\prime \prime }+y^{\prime }+16 y = 0
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }+4 y = 0
\] |
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\[
{}y^{\prime \prime }-y^{\prime }+4 y = 0
\] |
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\[
{}t y^{\prime \prime }+3 y = t
\] |
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\[
{}\left (t -1\right ) y^{\prime \prime }-3 t y^{\prime }+4 y = \sin \left (t \right )
\] |
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\[
{}t \left (t -4\right ) y^{\prime \prime }+3 t y^{\prime }+4 y = 2
\] |
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\[
{}y^{\prime \prime }+\cos \left (t \right ) y^{\prime }+3 \ln \left (t \right ) y = 0
\] |
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\[
{}\left (x +3\right ) y^{\prime \prime }+x y^{\prime }+y \ln \left (x \right ) = 0
\] |
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\[
{}\left (x -2\right ) y^{\prime \prime }+y^{\prime }+\left (x -2\right ) \tan \left (x \right ) y = 0
\] |
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\[
{}\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+\frac {\alpha \left (\alpha +1\right ) \mu ^{2} y}{-x^{2}+1} = 0
\] |
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\[
{}t^{2} y^{\prime \prime }-2 y = 0
\] |
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\[
{}y^{\prime \prime }+4 y = 0
\] |
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\[
{}y^{\prime \prime }-2 y^{\prime }+y = 0
\] |
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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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\[
{}\left (1-x \cot \left (x \right )\right ) y^{\prime \prime }-x y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }-y^{\prime }-2 y = 0
\] |
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\[
{}a y^{\prime \prime }+b y^{\prime }+c y = 0
\] |
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\[
{}t^{2} y^{\prime \prime }-4 t y^{\prime }+6 y = 0
\] |
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\[
{}t^{2} y^{\prime \prime }+2 t y^{\prime }-2 y = 0
\] |
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\[
{}t^{2} y^{\prime \prime }+3 t y^{\prime }+y = 0
\] |
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\[
{}t^{2} y^{\prime \prime }-t \left (2+t \right ) y^{\prime }+\left (2+t \right ) y = 0
\] |
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\[
{}x y^{\prime \prime }-y^{\prime }+4 x^{3} y = 0
\] |
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\[
{}\left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-\left (x -\frac {3}{16}\right ) y = 0
\] |
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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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\[
{}x y^{\prime \prime }-\left (x +n \right ) y^{\prime }+n y = 0
\] |
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\[
{}y^{\prime \prime }+a \left (x y^{\prime }+y\right ) = 0
\] |
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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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\[
{}y^{\prime \prime }-4 y^{\prime }+4 y = 0
\] |
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\[
{}9 y^{\prime \prime }+6 y^{\prime }+y = 0
\] |
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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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\[
{}4 y^{\prime \prime }-4 y^{\prime }+y = 0
\] |
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\[
{}2 y^{\prime \prime }-3 y^{\prime }+y = 0
\] |
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\[
{}6 y^{\prime \prime }-y^{\prime }-y = 0
\] |
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\[
{}9 y^{\prime \prime }+12 y^{\prime }+4 y = 0
\] |
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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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