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\[
{} y^{\prime \prime }-x y^{\prime }-x y-x^{2}-x = 0
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\[
{} y^{\prime \prime }-x y^{\prime }-x y-x^{3}+2 = 0
\]
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\[
{} y^{\prime \prime }-x y^{\prime }-x y-x^{4}-6 = 0
\]
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\[
{} y^{\prime \prime }-x y^{\prime }-x y-x^{5}+24 = 0
\]
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\[
{} y^{\prime \prime }-x y^{\prime }-x y-x = 0
\]
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\[
{} y^{\prime \prime }-x y^{\prime }-x y-x^{2} = 0
\]
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\[
{} y^{\prime \prime }-x y^{\prime }-x y-x^{3} = 0
\]
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\[
{} y^{\prime \prime }-a x y^{\prime }-b x y-c x = 0
\]
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\[
{} y^{\prime \prime }-a x y^{\prime }-b x y-c \,x^{2} = 0
\]
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\[
{} y^{\prime \prime }-a x y^{\prime }-b x y-c \,x^{3} = 0
\]
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\[
{} y^{\prime \prime }-y^{\prime }-x y-x = 0
\]
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\[
{} y^{\prime \prime }-y^{\prime }-x y-x^{2} = 0
\]
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\[
{} y^{\prime \prime }-y^{\prime }-x y-x^{2}-1 = 0
\]
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\[
{} y^{\prime \prime }-y^{\prime }-x y-x^{2}-1 = 0
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }-x y-x^{2}-2 = 0
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }-x y-x^{2}-4 = 0
\]
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\[
{} y^{\prime \prime }-y^{\prime }-x y-x^{3}+1 = 0
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }-x y-x^{3}-x^{2} = 0
\]
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\[
{} y^{\prime \prime }-y^{\prime }-x y-x^{3}+2 = 0
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }-x y-x^{3}+2 = 0
\]
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\[
{} y^{\prime \prime }-4 y^{\prime }-x y-x^{3}+2 = 0
\]
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\[
{} y^{\prime \prime }-6 y^{\prime }-x y-x^{3}+2 = 0
\]
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\[
{} y^{\prime \prime }-8 y^{\prime }-x y-x^{3}+2 = 0
\]
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\[
{} y^{\prime \prime }-y^{\prime }-x y-x^{4}+3 = 0
\]
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\[
{} y^{\prime \prime }-y^{\prime }-x y-x^{3} = 0
\]
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\[
{} y^{\prime \prime }-x^{2} y-x^{2} = 0
\]
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\[
{} y^{\prime \prime }-x^{2} y-x^{3} = 0
\]
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\[
{} y^{\prime \prime }-x^{2} y-x^{4} = 0
\]
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\[
{} y^{\prime \prime }-x^{2} y-x^{4}+2 = 0
\]
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\[
{} y^{\prime \prime }-2 x^{2} y-x^{4}+1 = 0
\]
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\[
{} y^{\prime \prime }-x^{3} y-x^{3} = 0
\]
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\[
{} y^{\prime \prime }-x^{3} y-x^{4} = 0
\]
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\[
{} y^{\prime \prime }-x^{2} y^{\prime }-x^{2} y-x^{2} = 0
\]
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\[
{} y^{\prime \prime }-x^{3} y^{\prime }-x^{3} y-x^{3} = 0
\]
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\[
{} y^{\prime \prime }-x y^{\prime }-x y-x = 0
\]
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\[
{} y^{\prime \prime }-x^{2} y^{\prime }-x y-x^{2} = 0
\]
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\[
{} y^{\prime \prime }-x^{2} y^{\prime }-x^{2} y-x^{3}-x^{2} = 0
\]
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\[
{} y^{\prime \prime }-x^{2} y^{\prime }-x^{3} y-x^{4}-x^{2} = 0
\]
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\[
{} y^{\prime \prime }-\frac {y^{\prime }}{x}-x y-x^{2}-\frac {1}{x} = 0
\]
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\[
{} y^{\prime \prime }-\frac {y^{\prime }}{x}-x^{2} y-x^{3}-\frac {1}{x} = 0
\]
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\[
{} y^{\prime \prime }-\frac {y^{\prime }}{x}-x^{3} y-x^{4}-\frac {1}{x} = 0
\]
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\[
{} y^{\prime \prime }-x^{3} y^{\prime }-x y-x^{3}-x^{2} = 0
\]
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\[
{} y^{\prime \prime }-x^{3} y^{\prime }-x^{2} y-x^{3} = 0
\]
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\[
{} y^{\prime \prime }-x^{3} y^{\prime }-x^{3} y-x^{4}-x^{3} = 0
\]
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\[
{} y^{\prime \prime \prime }-x^{3} y^{\prime }-x^{2} y-x^{3} = 0
\]
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\[
{} w^{\prime } = -\frac {1}{2}-\frac {\sqrt {1-12 w}}{2}
\]
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\[
{} y^{\prime \prime \prime }+y^{\prime }+y = x
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2} = x
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }+y {y^{\prime }}^{2} = 0
\]
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\[
{} y^{\prime \prime }+\sin \left (y\right ) {y^{\prime }}^{2} = 0
\]
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\[
{} y^{\prime } = 2 x^{2} \sin \left (\frac {y}{x}\right )^{2}+\frac {y}{x}
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = 1
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = 1+x
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x^{2}+x +1
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x^{2}
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x^{2}+1
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x^{4}
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = \sin \left (x \right )
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = \sin \left (x \right )+1
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x \sin \left (x \right )
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = \cos \left (x \right )+\sin \left (x \right )
\]
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\[
{} x^{2} y^{\prime \prime }+\left (-1+\cos \left (x \right )\right ) y^{\prime }+y \,{\mathrm e}^{x} = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }+3 x y^{\prime }-x y = x^{2}+2 x
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = 1
\]
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\[
{} 2 x^{2} y^{\prime \prime }+2 x y^{\prime }-x y = 1
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x^{2}+\cos \left (x \right )
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = \cos \left (x \right )
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = x^{3}+\cos \left (x \right )
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = \cos \left (x \right ) x^{3}
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = \cos \left (x \right ) x^{3}+\sin \left (x \right )^{2}
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+\left (-x^{2}+1\right ) y = \ln \left (x \right )
\]
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\[
{} {y^{\prime }}^{2}+y^{2} = \sec \left (x \right )^{4}
\]
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\[
{} \left (y-2 x y^{\prime }\right )^{2} = {y^{\prime }}^{3}
\]
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\[
{} x^{2} y^{\prime \prime }+y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }+x y^{\prime }+\left (x -5\right ) y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }+2 x y^{\prime }-x y = \sin \left (x \right )
\]
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\[
{} 2 x^{2} y^{\prime \prime }+2 x y^{\prime }-x y = x \sin \left (x \right )
\]
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\[
{} 2 x^{2} y^{\prime \prime }+2 x y^{\prime }-x y = \sin \left (x \right ) \cos \left (x \right )
\]
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\[
{} 2 x^{2} y^{\prime \prime }+2 x y^{\prime }-x y = x^{3}+x \sin \left (x \right )
\]
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\[
{} 2 x^{2} y^{\prime \prime }+5 x y^{\prime }+4 y = 0
\]
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\[
{} \left (-x^{2}+1\right ) y^{\prime \prime }+y^{\prime }+y = x \,{\mathrm e}^{x}
\]
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\[
{} \frac {x y^{\prime \prime }}{1-x}+y = \frac {1}{1-x}
\]
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\[
{} \frac {x y^{\prime \prime }}{1-x}+y = \cos \left (x \right )
\]
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\[
{} \frac {x y^{\prime \prime }}{-x^{2}+1}+y = 0
\]
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\[
{} y^{\prime \prime } = \left (x^{2}+3\right ) y
\]
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\[
{} y^{\prime \prime } \sin \left (2 x \right )^{2}+y^{\prime } \sin \left (4 x \right )-4 y = 0
\]
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\[
{} y^{\prime \prime }+2 x y^{\prime }+\left (x^{2}+1\right ) y = 0
\]
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\[
{} y^{\prime \prime }+2 \cot \left (x \right ) y^{\prime }-y = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime }+\left (-8 x^{2}+4 x \right ) y^{\prime }+\left (4 x^{2}-4 x -1\right ) y = 4 \sqrt {x}\, {\mathrm e}^{x}
\]
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\[
{} x y^{\prime \prime }-\left (2+2 x \right ) y^{\prime }+\left (x +2\right ) y = 6 x^{3} {\mathrm e}^{x}
\]
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\[
{} y^{\prime }+y = \frac {1}{x}
\]
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\[
{} y^{\prime }+y = \frac {1}{x^{2}}
\]
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\[
{} x y^{\prime }+y = 0
\]
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\[
{} y^{\prime } = \frac {1}{x}
\]
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\[
{} y^{\prime \prime } = \frac {1}{x}
\]
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\[
{} y^{\prime \prime }+y^{\prime } = \frac {1}{x}
\]
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\[
{} y^{\prime \prime }+y = \frac {1}{x}
\]
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\[
{} y^{\prime \prime }+y^{\prime }+y = \frac {1}{x}
\]
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\[
{} h^{2}+\frac {2 a h}{\sqrt {1+{h^{\prime }}^{2}}} = b^{2}
\]
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