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Mathematica |
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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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\[
{} y^{\prime \prime }-\frac {y^{\prime }}{\sqrt {x}}+\frac {\left (x +\sqrt {x}-8\right ) y}{4 x^{2}} = 0
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }+x y^{\prime } = 0
\]
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\[
{} x y^{\prime \prime }+y^{\prime } = 0
\]
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\[
{} \left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }-5 y = 0
\]
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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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\[
{} y^{\prime \prime }+2 x y^{\prime }+\left (x^{2}+1\right ) y = 0
\]
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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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\[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }+3 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-16 y = 0
\]
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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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\[
{} x y^{\prime \prime }+\left (3 x -1\right ) y^{\prime }-\left (9+4 x \right ) y = 0
\]
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\[
{} y^{\prime \prime }+x^{2} y = 0
\]
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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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\[
{} y^{\prime \prime }+\frac {y^{\prime }}{x}+k^{2} y = 0
\]
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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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\[
{} x y^{\prime \prime }+2 y^{\prime } = x y
\]
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\[
{} v^{\prime \prime }+\frac {2 v^{\prime }}{r} = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y = 0
\]
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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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\[
{} \left (x^{2}-x \right ) y^{\prime \prime }+\left (3 x -2\right ) y^{\prime }+y = 0
\]
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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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\[
{} \left (5+2 x \right )^{2} y^{\prime \prime }-6 \left (5-2 x \right ) y^{\prime }+8 y = 0
\]
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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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\[
{} x y^{\prime \prime }+y^{\prime } = 0
\]
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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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\[
{} \sin \left (x \right )^{2} y^{\prime \prime } = 2 y
\]
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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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\[
{} y^{\prime \prime }+\cot \left (x \right ) y^{\prime }+4 y \csc \left (x \right )^{2} = 0
\]
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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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\[
{} y^{\prime \prime }-2 b y^{\prime }+y b^{2} x^{2} = 0
\]
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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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\[
{} \left (x \sin \left (x \right )+\cos \left (x \right )\right ) y^{\prime \prime }-x \cos \left (x \right ) y^{\prime }+\cos \left (x \right ) y = 0
\]
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\[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }-y a^{2} = 0
\]
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\[
{} \left (a^{2}-x^{2}\right ) y^{\prime \prime }-\frac {a^{2} y^{\prime }}{x}+\frac {x^{2} y}{a} = 0
\]
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\[
{} \left (x^{3}-x \right ) y^{\prime \prime }+y^{\prime }+n^{2} x^{3} y = 0
\]
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\[
{} x^{4} y^{\prime \prime }+2 x^{3} y^{\prime }+n^{2} y = 0
\]
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\[
{} y^{\prime \prime }+\frac {2 y^{\prime }}{r} = 0
\]
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\[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-x y^{\prime }+5 y = 0
\]
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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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\[
{} x y^{\prime \prime }+2 x y^{\prime }+2 y = 0
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }+3 x y^{\prime }+y = 0
\]
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\[
{} \left (x^{2}-x \right ) y^{\prime \prime }+2 \left (2 x +1\right ) y^{\prime }+2 y = 0
\]
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\[
{} \left (x^{2}-x \right ) y^{\prime \prime }-2 \left (x -1\right ) y^{\prime }-4 y = 0
\]
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\[
{} \left (-b \,x^{2}+a x \right ) y^{\prime \prime }+2 a y^{\prime }+2 b y = 0
\]
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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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\[
{} y^{\prime \prime } = x y^{\prime }
\]
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\[
{} y^{\prime \prime }+\frac {y^{\prime }}{x} = 0
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }+3 x y^{\prime }+y = 0
\]
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\[
{} x y^{\prime \prime }-\left (x +3\right ) y^{\prime }+3 y = 0
\]
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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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\[
{} y^{\prime \prime }-a x y^{\prime }+a^{2} \left (x -1\right ) y = 0
\]
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\[
{} \left (2 x^{3}-a \right ) y^{\prime \prime }-6 y^{\prime } x^{2}+6 x y = 0
\]
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\[
{} y^{\prime \prime }+4 x y^{\prime }+4 x^{2} y = 0
\]
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