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Mathematica |
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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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\[
{} y^{\prime \prime }-{y^{\prime }}^{2}-{y^{\prime }}^{3} y = 0
\]
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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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\[
{} y^{\prime \prime } = -y a^{2}
\]
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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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\[
{} y^{\prime \prime } y^{\prime }-x^{2} y y^{\prime } = x y^{2}
\]
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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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\[
{} y^{\prime \prime }+y a^{2} = 0
\]
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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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\[
{} \left (y^{2}+2 y^{\prime } x^{2}\right ) y^{\prime \prime }+2 {y^{\prime }}^{2} \left (x +y\right )+x y^{\prime }+y = 0
\]
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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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\[
{} y^{\prime \prime }+\cot \left (x \right ) y^{\prime }+4 y \csc \left (x \right )^{2} = 0
\]
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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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\[
{} x^{2} y y^{\prime \prime }+\left (x y^{\prime }-y\right )^{2} = 0
\]
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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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\[
{} y^{\prime \prime }-n^{2} y = 0
\]
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\[
{} 2 x^{\prime \prime }+5 x^{\prime }-12 x = 0
\]
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\[
{} y^{\prime \prime }+3 y^{\prime }-54 y = 0
\]
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\[
{} 9 x^{\prime \prime }+18 x^{\prime }-16 x = 0
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-x y^{\prime }+5 y = 0
\]
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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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\[
{} x y y^{\prime \prime }+{y^{\prime }}^{2} x +y y^{\prime } = 0
\]
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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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\[
{} y^{\prime \prime } = y
\]
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\[
{} y^{\prime \prime }-y a^{2} = 0
\]
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\[
{} y^{\prime \prime }+\frac {a^{2}}{y} = 0
\]
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\[
{} y^{\prime \prime } = y^{3}-y
\]
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\[
{} y^{\prime \prime } = {\mathrm e}^{2 y}
\]
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\[
{} y^{\prime \prime } = x y^{\prime }
\]
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\[
{} y^{\prime \prime } = \sqrt {1+{y^{\prime }}^{2}}
\]
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\[
{} y^{\prime \prime }+\frac {y^{\prime }}{x} = 0
\]
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\[
{} x y^{\prime \prime }+{y^{\prime }}^{2} x -y^{\prime } = 0
\]
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\[
{} y^{\prime \prime }+y y^{\prime } = 0
\]
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\[
{} y y^{\prime \prime }-{y^{\prime }}^{2}+y^{\prime } = 0
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+4 {y^{\prime }}^{2} = 0
\]
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\[
{} y^{\prime \prime } = a {y^{\prime }}^{2}
\]
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