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Mathematica |
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\[
{}x y^{\prime \prime }+\left (x^{2}-1\right ) y^{\prime }+x^{3} y = 0
\] |
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\[
{}y^{\prime \prime }+3 x y^{\prime }+x^{2} y = 0
\] |
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\[
{}y^{\prime \prime }+x y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime }-4 y^{\prime }+4 y = 0
\] |
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\[
{}y^{\prime \prime }-2 a y^{\prime }+a^{2} y = 0
\] |
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\[
{}x y^{\prime \prime }+\left (3 x -1\right ) y^{\prime }-\left (4 x +9\right ) y = 0
\] |
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\[
{}y^{\prime \prime }+x^{2} y = 0
\] |
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\[
{}x^{\prime \prime }+\left (5 x^{4}-9 x^{2}\right ) x^{\prime }+x^{5} = 0
\] |
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\[
{}t^{2} x^{\prime \prime }-6 t x^{\prime }+12 x = 0
\] |
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\[
{}t^{2} x^{\prime \prime }-2 t x^{\prime }+2 x = 0
\] |
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\[
{}x^{\prime \prime }-5 x^{\prime }+6 x = 0
\] |
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\[
{}x^{\prime \prime }-4 x^{\prime }+4 x = 0
\] |
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\[
{}x^{\prime \prime }-4 x^{\prime }+5 x = 0
\] |
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\[
{}x^{\prime \prime }+3 x^{\prime } = 0
\] |
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\[
{}x^{\prime \prime }-3 x^{\prime }+2 x = 0
\] |
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\[
{}x^{\prime \prime }+x = 0
\] |
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\[
{}x^{\prime \prime }+2 x^{\prime }+x = 0
\] |
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\[
{}x^{\prime \prime }-2 x^{\prime }+2 x = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-\frac {x^{2} {y^{\prime }}^{2}}{2 y}+4 x y^{\prime }+4 y = 0
\] |
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\[
{}y^{\prime \prime }+\frac {y^{\prime }}{x}+k^{2} y = 0
\] |
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\[
{}\cos \left (x \right ) y^{\prime }+\sin \left (x \right ) y^{\prime \prime }+n y \sin \left (x \right ) = 0
\] |
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\[
{}v^{\prime \prime } = \left (\frac {1}{v}+{v^{\prime }}^{4}\right )^{{1}/{3}}
\] |
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\[
{}\sqrt {y^{\prime }+y} = \left (y^{\prime \prime }+2 x \right )^{{1}/{4}}
\] |
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\[
{}\theta ^{\prime \prime } = -p^{2} \theta
\] |
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\[
{}y^{\prime \prime } = \frac {m \sqrt {1+{y^{\prime }}^{2}}}{k}
\] |
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\[
{}\phi ^{\prime \prime } = \frac {4 \pi n c}{\sqrt {v_{0}^{2}+\frac {2 e \left (\phi -V_{0} \right )}{m}}}
\] |
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\[
{}\theta ^{\prime \prime }-p^{2} \theta = 0
\] |
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\[
{}y^{\prime \prime }+y = 0
\] |
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\[
{}y^{\prime \prime }+12 y = 7 y^{\prime }
\] |
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\[
{}r^{\prime \prime }-a^{2} r = 0
\] |
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\[
{}y^{\prime \prime } = c \left (1+{y^{\prime }}^{2}\right )
\] |
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\[
{}y^{\prime \prime } = c \left (1+{y^{\prime }}^{2}\right )^{{3}/{2}}
\] |
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\[
{}y^{\prime \prime } = -m^{2} y
\] |
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\[
{}x y^{\prime \prime }+2 y^{\prime } = x y
\] |
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\[
{}v^{\prime \prime }+\frac {2 v^{\prime }}{r} = 0
\] |
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\[
{}y^{\prime \prime }-2 y y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime }-{y^{\prime }}^{2}-y {y^{\prime }}^{3} = 0
\] |
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\[
{}\left (1+{y^{\prime }}^{2}\right )^{{3}/{2}} = r y^{\prime \prime }
\] |
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\[
{}\left (1+y^{2}\right ) y^{\prime \prime }-2 y {y^{\prime }}^{2}-2 \left (1+y^{2}\right ) y^{\prime } = y^{2} \left (1+y^{2}\right )
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+y = 0
\] |
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\[
{}\left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime } = 0
\] |
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\[
{}v^{\prime \prime }+\frac {2 x v^{\prime }}{x^{2}+1}+\frac {v}{\left (x^{2}+1\right )^{2}} = 0
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }+2 y = 0
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }-2 y = 0
\] |
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\[
{}e y^{\prime \prime } = P \left (-y+a \right )
\] |
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\[
{}\left (x^{2}-x \right ) y^{\prime \prime }+\left (3 x -2\right ) y^{\prime }+y = 0
\] |
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\[
{}y^{\prime \prime } = -a^{2} y
\] |
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\[
{}y^{\prime \prime } = \frac {1}{y^{2}}
\] |
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\[
{}y y^{\prime \prime }-{y^{\prime }}^{2} = 0
\] |
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\[
{}V^{\prime \prime }+\frac {2 V^{\prime }}{r} = 0
\] |
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\[
{}V^{\prime \prime }+\frac {V^{\prime }}{r} = 0
\] |
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\[
{}y^{\prime \prime }-\frac {2 y^{\prime }}{x}+\frac {2 y}{x^{2}} = 0
\] |
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\[
{}v^{\prime \prime }+\frac {2 v^{\prime }}{r} = 0
\] |
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\[
{}y^{\prime \prime }-k^{2} y = 0
\] |
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\[
{}y^{\prime \prime }+3 y^{\prime }-54 y = 0
\] |
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\[
{}y^{\prime \prime }-m^{2} y = 0
\] |
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\[
{}2 y^{\prime \prime }+5 y^{\prime }-12 y = 0
\] |
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\[
{}9 y^{\prime \prime }+18 y^{\prime }-16 y = 0
\] |
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\[
{}y^{\prime \prime }+8 y^{\prime }+25 y = 0
\] |
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\[
{}\left (5+2 x \right )^{2} y^{\prime \prime }-6 \left (5-2 x \right ) y^{\prime }+8 y = 0
\] |
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\[
{}\left (2 x -1\right )^{3} y^{\prime \prime }+\left (2 x -1\right ) y^{\prime }-2 y = 0
\] |
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\[
{}x y^{\prime \prime }+2 x y^{\prime }+2 y = 0
\] |
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\[
{}y^{\prime } y^{\prime \prime }-x^{2} y y^{\prime } = x y^{2}
\] |
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\[
{}x^{2} y y^{\prime \prime }+\left (x y^{\prime }-y\right )^{2}-3 y^{2} = 0
\] |
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\[
{}y^{\prime \prime }+a^{2} y = 0
\] |
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\[
{}y^{\prime \prime } = \frac {1}{\sqrt {a y}}
\] |
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\[
{}y^{\prime \prime }+\frac {a^{2}}{y^{2}} = 0
\] |
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\[
{}y^{\prime \prime }-\frac {a^{2}}{y^{2}} = 0
\] |
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\[
{}y^{\prime \prime } = \sqrt {1+{y^{\prime }}^{2}}
\] |
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\[
{}y^{\prime \prime }-a {y^{\prime }}^{2} = 0
\] |
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\[
{}y y^{\prime \prime }-{y^{\prime }}^{2} = y^{2} \ln \left (y\right )
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+4 {y^{\prime }}^{3} = 0
\] |
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\[
{}a y^{\prime \prime } = \sqrt {1+{y^{\prime }}^{2}}
\] |
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\[
{}x y^{\prime \prime }+y^{\prime } = 0
\] |
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\[
{}\left (y^{2}+2 x^{2} y^{\prime }\right ) y^{\prime \prime }+2 \left (x +y\right ) {y^{\prime }}^{2}+x y^{\prime }+y = 0
\] |
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\[
{}{y^{\prime }}^{2}-y y^{\prime \prime } = n \sqrt {{y^{\prime }}^{2}+a^{2} {y^{\prime \prime }}^{2}}
\] |
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\[
{}y^{\prime \prime }+y^{\prime }+{y^{\prime }}^{3} = 0
\] |
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\[
{}\sin \left (x \right ) y^{\prime \prime }-\cos \left (x \right ) y^{\prime }+2 y \sin \left (x \right ) = 0
\] |
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\[
{}y \left (1-\ln \left (y\right )\right ) y^{\prime \prime }+\left (1+\ln \left (y\right )\right ) {y^{\prime }}^{2} = 0
\] |
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\[
{}\sin \left (x \right )^{2} y^{\prime \prime } = 2 y
\] |
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\[
{}a y^{\prime \prime } = y^{\prime }
\] |
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\[
{}\left (3-x \right ) y^{\prime \prime }-\left (9-4 x \right ) y^{\prime }+\left (6-3 x \right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
\] |
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\[
{}3 x^{2} y^{\prime \prime }+\left (-6 x^{2}+2\right ) y^{\prime }-4 y = 0
\] |
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\[
{}y^{\prime \prime }+\frac {y^{\prime }}{x^{{1}/{3}}}+\left (\frac {1}{4 x^{{2}/{3}}}-\frac {1}{6 x^{{1}/{3}}}-\frac {6}{x^{2}}\right ) y = 0
\] |
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\[
{}4 x^{2} y^{\prime \prime }+4 x^{5} y^{\prime }+\left (x^{8}+6 x^{4}+4\right ) y = 0
\] |
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\[
{}y^{\prime \prime }-2 \tan \left (x \right ) y^{\prime }+5 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-2 \left (x^{2}+x \right ) y^{\prime }+\left (x^{2}+2 x +2\right ) y = 0
\] |
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\[
{}y^{\prime \prime }+\frac {2 y^{\prime }}{x}+\frac {a^{2} y}{x^{4}} = 0
\] |
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\[
{}y^{\prime \prime }+\cot \left (x \right ) y^{\prime }+4 \csc \left (x \right )^{2} y = 0
\] |
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\[
{}y^{\prime \prime }+\frac {2 y^{\prime }}{x} = n^{2} y
\] |
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\[
{}y^{\prime \prime }+\frac {2 y^{\prime }}{x}+n^{2} y = 0
\] |
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\[
{}y^{\prime \prime }-\frac {2 y^{\prime }}{x}+\left (n^{2}+\frac {2}{x^{2}}\right ) y = 0
\] |
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\[
{}\left (x^{2}+1\right ) y^{\prime \prime }+3 x y^{\prime }+y = 0
\] |
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\[
{}\left (x -3\right ) y^{\prime \prime }-\left (4 x -9\right ) y^{\prime }+3 \left (x -2\right ) y = 0
\] |
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\[
{}y^{\prime \prime }-2 b y^{\prime }+b^{2} x^{2} y = 0
\] |
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\[
{}y^{\prime \prime }+4 x y^{\prime }+4 x^{2} y = 0
\] |
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\[
{}x y^{\prime \prime }-\left (2 x -1\right ) y^{\prime }+\left (x -1\right ) y = 0
\] |
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\[
{}\left (x \sin \left (x \right )+\cos \left (x \right )\right ) y^{\prime \prime }-x \cos \left (x \right ) y^{\prime }+y \cos \left (x \right ) = 0
\] |
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\[
{}\left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }-a^{2} y = 0
\] |
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