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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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\[
{} y^{\prime \prime }-x y-x^{3}+2 = 0
\]
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\[
{} y^{\prime \prime }-x y-x^{6}+64 = 0
\]
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\[
{} y^{\prime \prime }-x y-x = 0
\]
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\[
{} y^{\prime \prime }-x y-x^{2} = 0
\]
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\[
{} y^{\prime \prime }-x y-x^{3} = 0
\]
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\[
{} y^{\prime \prime }-x y-x^{6}-x^{3}+42 = 0
\]
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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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\[
{} y^{\prime \prime }+y = \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+y = \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+y = \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+y = \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+y = \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+y = \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+y = \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+y = \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+y^{\prime }+y = \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+y^{\prime }+y = \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+y^{\prime }+y = \sin \left (x \right )
\]
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\[
{} x^{4} y^{\prime \prime }+x^{3} y^{\prime }-4 x^{2} y = 1
\]
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\[
{} x^{4} y^{\prime \prime }+x^{3} y^{\prime }-4 x^{2} y = x
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-4 y = x
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2} = 0
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }+1+{y^{\prime }}^{2} = x
\]
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\[
{} 4 x^{2} y^{\prime \prime }+y = 8 \sqrt {x}\, \left (\ln \left (x \right )+1\right )
\]
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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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\[
{} y^{\prime \prime }+20 y^{\prime }+500 y = 100000 \cos \left (100 x \right )
\]
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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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\[
{} y^{\prime \prime }+2 y^{\prime }-24 y = 16-\left (x +2\right ) {\mathrm e}^{4 x}
\]
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\[
{} y^{\prime \prime }+3 y^{\prime }-4 y = 6 \,{\mathrm e}^{2 t -2}
\]
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\[
{} y^{\prime \prime } = 1
\]
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\[
{} {y^{\prime \prime }}^{2} = 1
\]
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\[
{} y^{\prime \prime } = x
\]
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\[
{} {y^{\prime \prime }}^{2} = x
\]
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\[
{} y^{\prime \prime }+y^{\prime } = 1
\]
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\[
{} {y^{\prime \prime }}^{2}+y^{\prime } = 1
\]
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\[
{} y^{\prime \prime }+{y^{\prime }}^{2} = 1
\]
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\[
{} y^{\prime \prime }+y^{\prime } = x
\]
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\[
{} {y^{\prime \prime }}^{2}+y^{\prime } = x
\]
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\[
{} y^{\prime \prime }+{y^{\prime }}^{2} = x
\]
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\[
{} y^{\prime \prime }+y^{\prime }+y = 1
\]
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\[
{} y^{\prime \prime }+y^{\prime }+y = x
\]
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\[
{} y^{\prime \prime }+y^{\prime }+y = 1+x
\]
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\[
{} y^{\prime \prime }+y^{\prime }+y = x^{2}+x +1
\]
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\[
{} y^{\prime \prime }+y^{\prime }+y = x^{3}+x^{2}+x +1
\]
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\[
{} y^{\prime \prime }+y^{\prime }+y = \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+y^{\prime }+y = \cos \left (x \right )
\]
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\[
{} y^{\prime \prime }+y^{\prime } = 1
\]
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\[
{} y^{\prime \prime }+y^{\prime } = x
\]
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\[
{} y^{\prime \prime }+y^{\prime } = 1+x
\]
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\[
{} y^{\prime \prime }+y^{\prime } = x^{2}+x +1
\]
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\[
{} y^{\prime \prime }+y^{\prime } = x^{3}+x^{2}+x +1
\]
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\[
{} y^{\prime \prime }+y^{\prime } = \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+y^{\prime } = \cos \left (x \right )
\]
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\[
{} y^{\prime \prime }+y = 1
\]
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\[
{} y^{\prime \prime }+y = x
\]
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\[
{} y^{\prime \prime }+y = 1+x
\]
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\[
{} y^{\prime \prime }+y = x^{2}+x +1
\]
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\[
{} y^{\prime \prime }+y = x^{3}+x^{2}+x +1
\]
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\[
{} y^{\prime \prime }+y = \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+y = \cos \left (x \right )
\]
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\[
{} y^{\prime \prime }-\frac {2 y}{x^{2}} = x \,{\mathrm e}^{-\sqrt {x}}
\]
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\[
{} y^{\prime \prime }-\frac {y^{\prime }}{\sqrt {x}}+\frac {\left (x +\sqrt {x}-8\right ) y}{4 x^{2}} = x
\]
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\[
{} x^{6} y^{\prime \prime }+3 x^{5} y^{\prime }+a^{2} y = \frac {1}{x^{2}}
\]
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\[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+3 y = 2 x^{3}-x^{2}
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }+\left (1+x \right ) y^{\prime }+y = 4 \cos \left (\ln \left (1+x \right )\right )
\]
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\[
{} x y^{\prime \prime }-y^{\prime }+4 x^{3} y = 8 x^{3} \sin \left (x \right )^{2}
\]
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\[
{} x y^{\prime \prime }-y^{\prime }+4 x^{3} y = x^{5}
\]
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\[
{} \cos \left (x \right ) y^{\prime \prime }+\sin \left (x \right ) y^{\prime }-2 y \cos \left (x \right )^{3} = 2 \cos \left (x \right )^{5}
\]
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\[
{} y^{\prime \prime }+\left (1-\frac {1}{x}\right ) y^{\prime }+4 x^{2} y \,{\mathrm e}^{-2 x} = 4 \left (x^{3}+x^{2}\right ) {\mathrm e}^{-3 x}
\]
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\[
{} y^{\prime \prime }-x^{2} y^{\prime }+x y = x^{m +1}
\]
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\[
{} y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}-1\right ) y = -3 \,{\mathrm e}^{x^{2}} \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }-2 b x y^{\prime }+b^{2} x^{2} y = x
\]
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