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Mathematica |
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\[
{} x y^{\prime \prime }-\left (1+x \right ) y^{\prime }+y = 0
\]
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\[
{} x y^{\prime \prime }+3 y^{\prime }+4 x^{3} y = 0
\]
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\[
{} y^{\prime \prime }+\frac {y}{4 x} = 0
\]
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\[
{} x y^{\prime \prime }+y^{\prime }-x y = 0
\]
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\[
{} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }+3 x^{2} y^{\prime }-x y = 0
\]
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\[
{} y^{\prime \prime }-x^{2} y = 0
\]
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\[
{} y^{\prime \prime }+x^{3} y^{\prime }+x^{2} y = 0
\]
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\[
{} y^{\prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime }+\left (x -1\right )^{2} y^{\prime }-\left (x -1\right ) y = 0
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime }+y \,{\mathrm e}^{x} = 0
\]
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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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\[
{} x^{2} y^{\prime \prime }+\left (x^{2}+x \right ) y^{\prime }-y = 0
\]
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\[
{} 3 x^{2} y^{\prime \prime }+x^{6} y^{\prime }+2 x y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-5 y^{\prime }+3 x^{2} y = 0
\]
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\[
{} x y^{\prime \prime }+4 y = 0
\]
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\[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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\[
{} \left (x^{2}+x -2\right )^{2} y^{\prime \prime }+3 \left (x +2\right ) y^{\prime }+\left (x -1\right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+\sin \left (x \right ) y^{\prime }+\cos \left (x \right ) y = 0
\]
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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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\[
{} 4 x^{2} y^{\prime \prime }+\left (4 x^{4}-5 x \right ) y^{\prime }+\left (x^{2}+2\right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+\left (-3 x^{2}+x \right ) y^{\prime }+y \,{\mathrm e}^{x} = 0
\]
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\[
{} 3 x^{2} y^{\prime \prime }+5 x y^{\prime }+3 x y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+x^{2} y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x \,{\mathrm e}^{x} y^{\prime }+y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }+\left (x^{2}+5 x \right ) y^{\prime }+\left (x^{2}-2\right ) y = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime }-4 x \,{\mathrm e}^{x} y^{\prime }+3 \cos \left (x \right ) y = 0
\]
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\[
{} \left (-x^{2}+1\right ) x^{2} y^{\prime \prime }+3 \left (x^{2}+x \right ) y^{\prime }+y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+\left (1+x \right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+2 x^{2} y^{\prime }-2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+5 x y^{\prime }+\left (-x^{3}+3\right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-2 x \left (1+x \right ) y^{\prime }+2 \left (1+x \right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-1\right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-2 x^{2} y^{\prime }+\left (4 x -2\right ) y = 0
\]
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\[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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\[
{} y^{\prime } = 2 x y
\]
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\[
{} y^{\prime }+y = 1
\]
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\[
{} y^{\prime }-y = 2
\]
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\[
{} y^{\prime }+y = 0
\]
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\[
{} y^{\prime }-y = 0
\]
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\[
{} y^{\prime }-y = x^{2}
\]
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\[
{} x y^{\prime } = y
\]
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\[
{} x^{2} y^{\prime } = y
\]
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\[
{} y^{\prime }-\frac {y}{x} = x^{2}
\]
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\[
{} y^{\prime } = \frac {1}{\sqrt {-x^{2}+1}}
\]
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\[
{} y^{\prime } = y+1
\]
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\[
{} y^{\prime } = x -y
\]
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\[
{} y^{\prime \prime }+x y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }-y^{\prime }+x y = 0
\]
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\[
{} y^{\prime \prime }+2 x y^{\prime }-y = x
\]
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\[
{} y^{\prime \prime }+y^{\prime }-x^{2} y = 1
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }+x y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }+\left (1+x \right ) y^{\prime }-y = 0
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime }-2 y = 0
\]
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\[
{} y^{\prime \prime }+x y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }+y^{\prime }-x y = 0
\]
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\[
{} y^{\prime \prime }+y^{\prime }-x y = 0
\]
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\[
{} y^{\prime \prime }+\left (p +\frac {1}{2}-\frac {x^{2}}{4}\right ) y = 0
\]
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\[
{} y^{\prime \prime }+x y = 0
\]
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\[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }+p^{2} y = 0
\]
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\[
{} y^{\prime \prime }-2 x y^{\prime }+2 p y = 0
\]
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\[
{} x^{3} \left (x -1\right ) y^{\prime \prime }-2 \left (x -1\right ) y^{\prime }+3 x y = 0
\]
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\[
{} x^{2} \left (x^{2}-1\right ) y^{\prime \prime }-x \left (1-x \right ) y^{\prime }+2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+\left (2-x \right ) y^{\prime } = 0
\]
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\[
{} \left (3 x +1\right ) x y^{\prime \prime }-\left (1+x \right ) y^{\prime }+2 y = 0
\]
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\[
{} y^{\prime \prime }+y \sin \left (x \right ) = 0
\]
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\[
{} x y^{\prime \prime }+y \sin \left (x \right ) = 0
\]
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\[
{} x^{2} y^{\prime \prime }+y \sin \left (x \right ) = 0
\]
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\[
{} x^{3} y^{\prime \prime }+y \sin \left (x \right ) = 0
\]
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\[
{} x^{4} y^{\prime \prime }+y \sin \left (x \right ) = 0
\]
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\[
{} x^{3} y^{\prime \prime }+\left (-1+\cos \left (2 x \right )\right ) y^{\prime }+2 x y = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime }+\left (2 x^{4}-5 x \right ) y^{\prime }+\left (3 x^{2}+2\right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+4 x y = 0
\]
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\[
{} x^{3} y^{\prime \prime }-4 x^{2} y^{\prime }+3 x y = 0
\]
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\[
{} 4 x y^{\prime \prime }+3 y^{\prime }+y = 0
\]
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\[
{} 2 x y^{\prime \prime }+\left (3-x \right ) y^{\prime }-y = 0
\]
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\[
{} 2 x y^{\prime \prime }+\left (1+x \right ) y^{\prime }+3 y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }+x y^{\prime }-\left (1+x \right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+x^{2} y = 0
\]
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\[
{} y^{\prime \prime }+\frac {y^{\prime }}{x^{2}}-\frac {y}{x^{3}} = 0
\]
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\[
{} x^{2} y^{\prime \prime }+\left (3 x -1\right ) y^{\prime }+y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+\left (4 x +4\right ) y = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime }-8 x^{2} y^{\prime }+\left (4 x^{2}+1\right ) y = 0
\]
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\[
{} x y^{\prime \prime }+2 y^{\prime }+x y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-x^{2} y^{\prime }+\left (x^{2}-2\right ) y = 0
\]
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\[
{} x y^{\prime \prime }-y^{\prime }+4 x^{3} y = 0
\]
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\[
{} \left (x -1\right )^{2} y^{\prime \prime }-3 \left (x -1\right ) y^{\prime }+2 y = 0
\]
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\[
{} 3 \left (1+x \right )^{2} y^{\prime \prime }-\left (1+x \right ) y^{\prime }-y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-1\right ) y = 0
\]
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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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\[
{} x \left (1-x \right ) y^{\prime \prime }+\left (\frac {3}{2}-2 x \right ) y^{\prime }+2 y = 0
\]
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\[
{} \left (2 x^{2}+2 x \right ) y^{\prime \prime }+\left (1+5 x \right ) y^{\prime }+y = 0
\]
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\[
{} \left (x^{2}-1\right ) y^{\prime \prime }+\left (5 x +4\right ) y^{\prime }+4 y = 0
\]
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\[
{} \left (x^{2}-x -6\right ) y^{\prime \prime }+\left (5+3 x \right ) y^{\prime }+y = 0
\]
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\[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }+p^{2} y = 0
\]
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\[
{} \left (1-{\mathrm e}^{x}\right ) y^{\prime \prime }+\frac {y^{\prime }}{2}+y \,{\mathrm e}^{x} = 0
\]
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\[
{} y^{\prime \prime }+2 x y = x^{2}
\]
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\[
{} y^{\prime \prime }-x y^{\prime }+y = x
\]
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\[
{} y^{\prime \prime }+y^{\prime }+y = x^{3}-x
\]
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