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Mathematica |
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\[
{}a^{3} y^{\prime \prime \prime } y^{\prime \prime } = \sqrt {1+c^{2} {y^{\prime \prime }}^{2}}
\] |
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\[
{}y^{\prime \prime \prime } = \sqrt {1+{y^{\prime \prime }}^{2}}
\] |
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\[
{}2 \left (2 a -y\right ) y^{\prime \prime } = 1+{y^{\prime }}^{2}
\] |
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\[
{}y^{\prime \prime }-y^{\prime \prime \prime } x +{y^{\prime \prime \prime }}^{3} = 0
\] |
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\[
{}y y^{\prime \prime }+{y^{\prime }}^{2} = y^{2} \ln \left (y\right )
\] |
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\[
{}y y^{\prime \prime }-{y^{\prime }}^{2} = 0
\] |
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\[
{}x y y^{\prime \prime }+x {y^{\prime }}^{2}-y y^{\prime } = 0
\] |
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\[
{}n \,x^{3} y^{\prime \prime } = \left (-x y^{\prime }+y\right )^{2}
\] |
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\[
{}y^{2} \left (x^{2} y^{\prime \prime }-x y^{\prime }+y\right ) = x^{3}
\] |
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\[
{}x^{2} y^{2} y^{\prime \prime }-3 y^{2} y^{\prime } x +4 y^{3}+x^{6} = 0
\] |
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\[
{}y^{\prime } y^{\prime \prime }-x^{2} y y^{\prime }-x y^{2} = 0
\] |
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\[
{}x \left (x^{2} y^{\prime }+2 x y\right ) y^{\prime \prime }+4 x {y^{\prime }}^{2}+8 x y y^{\prime }+4 y^{2}-1 = 0
\] |
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\[
{}x \left (x y+1\right ) y^{\prime \prime }+x^{2} {y^{\prime }}^{2}+\left (4 x y+2\right ) y^{\prime }+y^{2}+1 = 0
\] |
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\[
{}y y^{\prime \prime }-{y^{\prime }}^{2}-{y^{\prime }}^{4} = 0
\] |
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\[
{}a^{2} y^{\prime \prime } = 2 x \sqrt {1+{y^{\prime }}^{2}}
\] |
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\[
{}x^{2} y y^{\prime \prime }+x^{2} {y^{\prime }}^{2}-5 x y y^{\prime } = 4 y^{2}
\] |
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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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\[
{}5 {y^{\prime \prime \prime }}^{2}-3 y^{\prime \prime } y^{\prime \prime \prime \prime } = 0
\] |
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\[
{}40 {y^{\prime \prime \prime }}^{3}-45 y^{\prime \prime } y^{\prime \prime \prime } y^{\prime \prime \prime \prime }+9 {y^{\prime \prime }}^{2} y^{\left (5\right )} = 0
\] |
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\[
{}{y^{\prime \prime }}^{2}+2 x y^{\prime \prime }-y^{\prime } = 0
\] |
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\[
{}{y^{\prime \prime }}^{2}-2 x y^{\prime \prime }-y^{\prime } = 0
\] |
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\[
{}2 x^{3} y^{\prime \prime \prime }-6 x^{2} y^{\prime \prime }+12 x y^{\prime }-12 y = 0
\] |
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\[
{}y^{\prime \prime \prime }-\frac {3 y^{\prime \prime }}{x}+\frac {6 y^{\prime }}{x^{2}}-\frac {6 y}{x^{3}} = 0
\] |
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\[
{}\left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+n \left (n +1\right ) y = 0
\] |
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\[
{}y^{\prime \prime }+\frac {2 y^{\prime }}{x}+y = 0
\] |
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\[
{}y^{\prime \prime } \sin \left (x \right )^{2} = 2 y
\] |
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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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\[
{}y^{\prime \prime \prime } x -y^{\prime \prime }+x y^{\prime }-y = 0
\] |
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\[
{}\left (-x^{2}+1\right ) y^{\prime \prime \prime }-x y^{\prime \prime }+y^{\prime } = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 2 x^{3}
\] |
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\[
{}y^{\prime \prime }+\frac {x y^{\prime }}{1-x}-\frac {y}{1-x} = x -1
\] |
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\[
{}\left (x^{2}+2\right ) y^{\prime \prime \prime }-2 x y^{\prime \prime }+\left (x^{2}+2\right ) y^{\prime }-2 x y = x^{4}+12
\] |
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\[
{}y^{\prime \prime }+\frac {y}{\ln \left (x \right ) x^{2}} = {\mathrm e}^{x} \left (\frac {2}{x}+\ln \left (x \right )\right )
\] |
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\[
{}\left (2 x +1\right ) y^{\prime \prime }+\left (4 x -2\right ) y^{\prime }-8 y = 0
\] |
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\[
{}y^{\prime \prime } \sin \left (x \right )^{2}+\sin \left (x \right ) \cos \left (x \right ) y^{\prime } = y
\] |
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\[
{}y^{\prime \prime }+\frac {2 y^{\prime }}{x}-\frac {n \left (n +1\right ) y}{x^{2}} = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = x
\] |
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\[
{}x^{2} y^{\prime \prime }-x y^{\prime }+2 y = x \ln \left (x \right )
\] |
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\[
{}x^{2} y^{\prime \prime }-2 y = x^{2}+\frac {1}{x}
\] |
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\[
{}x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }+2 x y^{\prime }-2 y = x^{3}+3 x
\] |
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\[
{}\left (1+x \right )^{2} y^{\prime \prime }+\left (1+x \right ) y^{\prime }+y = 4 \cos \left (\ln \left (1+x \right )\right )
\] |
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\[
{}y^{\prime \prime }-\frac {y^{\prime }}{x}+\left (1-\frac {m^{2}}{x^{2}}\right ) y = 0
\] |
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\[
{}y^{\prime \prime }+\frac {2 y^{\prime }}{x}+y = 0
\] |
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\[
{}y^{\prime \prime }+\frac {2 p y^{\prime }}{x}+y = 0
\] |
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\[
{}x y^{\prime \prime }-y^{\prime }-x^{3} y = 0
\] |
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\[
{}y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}-1\right ) y = -3 \,{\mathrm e}^{x^{2}} \sin \left (2 x \right )
\] |
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\[
{}y^{\prime \prime }-\frac {y^{\prime }}{\sqrt {x}}+\frac {y \left (-8+\sqrt {x}+x \right )}{4 x^{2}} = 0
\] |
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\[
{}y^{\prime \prime } = y^{2}+x
\] |
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\[
{}y^{\prime \prime }+2 y^{\prime }+y^{2} = 0
\] |
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\[
{}y y^{\prime \prime }+{y^{\prime }}^{2} = 0
\] |
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\[
{}x y^{\prime \prime } = y^{\prime }+{y^{\prime }}^{3}
\] |
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\[
{}x^{2} y^{\prime \prime } = 2 x y^{\prime }+{y^{\prime }}^{2}
\] |
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\[
{}2 y y^{\prime \prime } = 1+{y^{\prime }}^{2}
\] |
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\[
{}y y^{\prime \prime }-{y^{\prime }}^{2} = 0
\] |
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\[
{}x y^{\prime \prime }+y^{\prime } = 4 x
\] |
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\[
{}\left (x^{2}+2 y^{\prime }\right ) y^{\prime \prime }+2 x y^{\prime } = 0
\] |
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\[
{}y y^{\prime \prime } = y^{\prime } y^{2}+{y^{\prime }}^{2}
\] |
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\[
{}y^{\prime \prime } = y^{\prime } {\mathrm e}^{y}
\] |
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\[
{}y^{\prime \prime } = 1+{y^{\prime }}^{2}
\] |
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\[
{}y^{\prime \prime }+{y^{\prime }}^{2} = 1
\] |
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\[
{}y y^{\prime \prime } = {y^{\prime }}^{2}
\] |
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\[
{}y y^{\prime \prime }+{y^{\prime }}^{2}-2 y y^{\prime } = 0
\] |
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\[
{}y^{\prime \prime }+2 x {y^{\prime }}^{2} = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime } = 1
\] |
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\[
{}\left (x^{2}+1\right ) y^{\prime \prime }+x y^{\prime } = 0
\] |
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\[
{}\left (x \,{\mathrm e}^{y}+y-x^{2}\right ) y^{\prime \prime } = 2 x y-{\mathrm e}^{y}-x
\] |
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\[
{}x^{2} y^{\prime \prime } = y^{\prime } \left (3 x -2 y^{\prime }\right )
\] |
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\[
{}y^{2} y^{\prime \prime }+{y^{\prime }}^{3} = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+{y^{\prime }}^{2} = 0
\] |
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\[
{}y^{\prime \prime } = 2 y {y^{\prime }}^{3}
\] |
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\[
{}x y^{\prime \prime }-y^{\prime } = 3 x^{2}
\] |
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\[
{}x y^{\prime \prime }+y^{\prime } = 0
\] |
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\[
{}x^{3} y^{\prime \prime }+x^{2} y^{\prime }+x y = 1
\] |
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\[
{}\left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-3 x y^{\prime }-5 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-4 x y^{\prime }+\left (x^{2}+6\right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-2 y = 0
\] |
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\[
{}y^{\prime \prime }+{y^{\prime }}^{2} = 0
\] |
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\[
{}y^{\prime \prime }+2 x y^{\prime }+\left (x^{2}+1\right ) y = 0
\] |
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\[
{}x y^{\prime \prime }+3 y^{\prime } = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }-4 y = 0
\] |
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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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\[
{}y^{\prime \prime }-\frac {x y^{\prime }}{x -1}+\frac {y}{x -1} = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+2 x y^{\prime }-2 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-x \left (x +2\right ) y^{\prime }+\left (x +2\right ) y = 0
\] |
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\[
{}y^{\prime \prime }-x f \left (x \right ) y^{\prime }+f \left (x \right ) y = 0
\] |
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\[
{}x y^{\prime \prime }-\left (2 x +1\right ) y^{\prime }+\left (1+x \right ) y = 0
\] |
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\[
{}x y^{\prime \prime }-\left (x +n \right ) y^{\prime }+n y = 0
\] |
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\[
{}x y^{\prime \prime }-\left (1+x \right ) y^{\prime }+y = 0
\] |
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\[
{}x y^{\prime \prime }-\left (x +2\right ) y^{\prime }+2 y = 0
\] |
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\[
{}x y^{\prime \prime }-\left (x +3\right ) y^{\prime }+3 y = 0
\] |
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\[
{}y^{\prime \prime }-f \left (x \right ) y^{\prime }+\left (f \left (x \right )-1\right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+3 x y^{\prime }+10 y = 0
\] |
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\[
{}2 x^{2} y^{\prime \prime }+10 x y^{\prime }+8 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+2 x y^{\prime }-12 y = 0
\] |
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\[
{}4 x^{2} y^{\prime \prime }-3 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+2 x y^{\prime }-6 y = 0
\] |
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