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\[
{} y^{\prime \prime } = 2 y y^{\prime }
\]
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\[
{} 3 y^{\prime \prime } y^{\prime } = 2 y
\]
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\[
{} 2 y^{\prime \prime } = 3 y^{2}
\]
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\[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = 0
\]
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\[
{} y y^{\prime \prime } = {y^{\prime }}^{2}+y^{\prime }
\]
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\[
{} y y^{\prime \prime }-{y^{\prime }}^{2} = y^{2} y^{\prime }
\]
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\[
{} y^{\prime \prime } = {\mathrm e}^{2 y}
\]
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\[
{} 2 y y^{\prime \prime }-3 {y^{\prime }}^{2} = 4 y^{2}
\]
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\[
{} y^{\prime \prime }-y = 0
\]
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\[
{} 3 y^{\prime \prime }-2 y^{\prime }-8 y = 0
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }+3 y = 0
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }-2 y = 0
\]
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\[
{} 4 y^{\prime \prime }-8 y^{\prime }+5 y = 0
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+2 y = 0
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+3 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }+6 y = 0
\]
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\[
{} x y^{\prime \prime }+y^{\prime } = 0
\]
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\[
{} \left (x +2\right )^{2} y^{\prime \prime }+3 \left (x +2\right ) y^{\prime }-3 y = 0
\]
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\[
{} \left (2 x +1\right )^{2} y^{\prime \prime }-2 \left (2 x +1\right ) y^{\prime }+4 y = 0
\]
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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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\[
{} \left (x^{2}-x \right ) y^{\prime \prime }+\left (2 x -3\right ) y^{\prime }-2 y = 0
\]
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\[
{} x^{2} \left (\ln \left (x \right )-1\right ) y^{\prime \prime }-x y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }+\left (\tan \left (x \right )-2 \cot \left (x \right )\right ) y^{\prime }+2 \cot \left (x \right )^{2} y = 0
\]
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\[
{} y^{\prime \prime }+\tan \left (x \right ) y^{\prime }+y \cos \left (x \right )^{2} = 0
\]
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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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\[
{} x^{\prime \prime }+{x^{\prime }}^{2}+x = 0
\]
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\[
{} x^{\prime \prime }-2 {x^{\prime }}^{2}+x^{\prime }-2 x = 0
\]
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\[
{} x^{\prime \prime }-x \,{\mathrm e}^{x^{\prime }} = 0
\]
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\[
{} x^{\prime \prime }+{\mathrm e}^{-x^{\prime }}-x = 0
\]
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\[
{} x^{\prime \prime }+x {x^{\prime }}^{2} = 0
\]
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\[
{} x^{\prime \prime }+\left (x+2\right ) x^{\prime } = 0
\]
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\[
{} x^{\prime \prime }-x^{\prime }+x-x^{2} = 0
\]
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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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\[
{} y^{\prime \prime }+\lambda ^{2} y = 0
\]
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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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\[
{} x^{\prime \prime } = 0
\]
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\[
{} x^{\prime \prime }+x^{\prime } = 0
\]
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\[
{} x^{\prime \prime }+x^{\prime } = 0
\]
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\[
{} y^{\prime \prime }+t y = 0
\]
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\[
{} y^{\prime \prime }+y^{\prime }+y+y^{3} = 0
\]
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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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\[
{} y^{\prime \prime }+\mu \left (1-y^{2}\right ) y^{\prime }+y = 0
\]
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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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\[
{} y^{\prime \prime }+\cos \left (t \right ) y^{\prime }+3 \ln \left (t \right ) y = 0
\]
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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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\[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = 0
\]
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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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\[
{} t^{2} y^{\prime \prime }-t \left (t +2\right ) y^{\prime }+\left (t +2\right ) y = 0
\]
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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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