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Mathematica |
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }+2 x y^{\prime } = 0
\]
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\[
{} y^{\prime \prime } = 4 x \sqrt {y^{\prime }}
\]
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\[
{} y^{\prime \prime } y^{\prime } = 1
\]
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\[
{} y y^{\prime \prime } = -{y^{\prime }}^{2}
\]
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\[
{} x y^{\prime \prime } = {y^{\prime }}^{2}-y^{\prime }
\]
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\[
{} x y^{\prime \prime }-{y^{\prime }}^{2} = 6 x^{5}
\]
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\[
{} y y^{\prime \prime }-{y^{\prime }}^{2} = y^{\prime }
\]
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\[
{} \left (y-3\right ) y^{\prime \prime } = 2 {y^{\prime }}^{2}
\]
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\[
{} x y^{\prime \prime \prime }+2 y^{\prime \prime } = 6 x
\]
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\[
{} y^{\prime \prime \prime } = 2 \sqrt {y^{\prime \prime }}
\]
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\[
{} y y^{\prime \prime } = {y^{\prime }}^{2}
\]
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\[
{} 3 y y^{\prime \prime } = 2 {y^{\prime }}^{2}
\]
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\[
{} \sin \left (y\right ) y^{\prime \prime }+\cos \left (y\right ) {y^{\prime }}^{2} = 0
\]
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\[
{} y y^{\prime \prime }+{y^{\prime }}^{2} = 2 y y^{\prime }
\]
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\[
{} y^{2} y^{\prime \prime }+y^{\prime \prime }+2 y {y^{\prime }}^{2} = 0
\]
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\[
{} y^{\prime \prime } = 4 x \sqrt {y^{\prime }}
\]
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\[
{} y^{\prime \prime } y^{\prime } = 1
\]
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\[
{} x y^{\prime \prime } = {y^{\prime }}^{2}-y^{\prime }
\]
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\[
{} x y^{\prime \prime }-y^{\prime } = 6 x^{5}
\]
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\[
{} y y^{\prime \prime }-{y^{\prime }}^{2} = y^{\prime }
\]
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\[
{} y y^{\prime \prime } = 2 {y^{\prime }}^{2}
\]
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\[
{} \left (y-3\right ) y^{\prime \prime } = {y^{\prime }}^{2}
\]
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\[
{} y^{\prime \prime } = y^{\prime } \left (y^{\prime }-2\right )
\]
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\[
{} x y^{\prime \prime }+4 y^{\prime } = 18 x^{2}
\]
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\[
{} x y^{\prime \prime } = 2 y^{\prime }
\]
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\[
{} x y^{\prime \prime \prime }+2 y^{\prime \prime } = 6 x
\]
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\[
{} x y^{\prime \prime }+2 y^{\prime } = 6
\]
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\[
{} 2 x y^{\prime } y^{\prime \prime } = {y^{\prime }}^{2}-1
\]
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\[
{} 3 y y^{\prime \prime } = 2 {y^{\prime }}^{2}
\]
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\[
{} y y^{\prime \prime }+2 {y^{\prime }}^{2} = 3 y y^{\prime }
\]
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\[
{} y^{\prime \prime } = -{\mathrm e}^{-y} y^{\prime }
\]
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\[
{} y^{\prime \prime } = -2 {y^{\prime }}^{2} x
\]
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\[
{} y^{\prime \prime } = -2 {y^{\prime }}^{2} x
\]
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\[
{} y^{\prime \prime } = -2 {y^{\prime }}^{2} x
\]
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\[
{} y^{\prime \prime } = -2 {y^{\prime }}^{2} x
\]
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\[
{} y^{\prime \prime } = 2 y y^{\prime }
\]
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\[
{} y^{\prime \prime } = 2 y y^{\prime }
\]
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\[
{} y^{\prime \prime } = 2 y y^{\prime }
\]
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\[
{} y^{\prime \prime } = 2 y y^{\prime }
\]
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\[
{} y^{\prime \prime }+y^{\prime } x^{2}-4 y = x^{3}
\]
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\[
{} y^{\prime \prime }+y^{\prime } x^{2}-4 y = 0
\]
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\[
{} y^{\prime \prime }+y^{\prime } x^{2} = 4 y
\]
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\[
{} y^{\prime \prime }+y^{\prime } x^{2}+4 y = y^{3}
\]
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\[
{} \left (1+y\right ) y^{\prime \prime } = {y^{\prime }}^{3}
\]
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\[
{} y y^{\prime \prime \prime }+6 y^{\prime \prime }+3 y^{\prime } = y
\]
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\[
{} x^{2} y^{\prime \prime }-6 x y^{\prime }+12 y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime }-\left (4+\frac {2}{x}\right ) y^{\prime }+\left (4+\frac {4}{x}\right ) y = 0
\]
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\[
{} \left (1+x \right ) y^{\prime \prime }+x y^{\prime }-y = 0
\]
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\[
{} y^{\prime \prime }-\frac {y^{\prime }}{x}-4 x^{2} y = 0
\]
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\[
{} x y^{\prime \prime }+\left (2 x +2\right ) y^{\prime }+2 y = 0
\]
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\[
{} \sin \left (x \right )^{2} y^{\prime \prime }-2 \sin \left (x \right ) \cos \left (x \right ) y^{\prime }+\left (\cos \left (x \right )^{2}+1\right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }+\left (x^{2}+2\right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-y = \sqrt {x}
\]
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\[
{} x^{2} y^{\prime \prime }-20 y = 27 x^{5}
\]
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\[
{} x y^{\prime \prime }+\left (2 x +2\right ) y^{\prime }+2 y = 8 \,{\mathrm e}^{2 x}
\]
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\[
{} \left (1+x \right ) y^{\prime \prime }+x y^{\prime }-y = \left (1+x \right )^{2}
\]
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\[
{} x^{3} y^{\prime \prime \prime }-4 y^{\prime \prime }+10 y^{\prime }-12 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime }+4 x y^{\prime }-y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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\[
{} x y^{\prime \prime }-y^{\prime }+4 x^{3} y = 0
\]
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\[
{} \left (1+x \right )^{2} y^{\prime \prime }-2 \left (1+x \right ) y^{\prime }+2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+6 y = 0
\]
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\[
{} x y^{\prime \prime }-y^{\prime }+4 x^{3} y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-5 x y^{\prime }+8 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-2 x y^{\prime } = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-5 x y^{\prime }+9 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+5 x y^{\prime }+4 y = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime }+y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-19 x y^{\prime }+100 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-5 x y^{\prime }+29 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-x y^{\prime }+10 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+5 x y^{\prime }+29 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }+5 x y^{\prime }+y = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime }+37 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime } = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-25 y = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime }+8 x y^{\prime }+5 y = 0
\]
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\[
{} 3 x^{2} y^{\prime \prime }-7 x y^{\prime }+3 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }-10 y = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime }+4 x y^{\prime }-y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-11 x y^{\prime }+36 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-x y^{\prime }+2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+13 y = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }-4 x y^{\prime }+4 y = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }+2 x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }-5 x^{2} y^{\prime \prime }+14 x y^{\prime }-18 y = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }+7 x y^{\prime }-8 y = 0
\]
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\[
{} x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }+15 x^{2} y^{\prime \prime }+9 x y^{\prime }+16 y = 0
\]
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\[
{} x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }-3 x^{2} y^{\prime \prime }-9 x y^{\prime }+9 y = 0
\]
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\[
{} x^{4} y^{\prime \prime \prime \prime }+2 x^{3} y^{\prime \prime \prime }+x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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\[
{} x^{4} y^{\prime \prime \prime \prime }+6 x^{3} y^{\prime \prime \prime }+7 x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
\]
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