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Mathematica |
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\[
{} 4 x^{2} y^{\prime \prime }+y = x^{3}
\]
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\[
{} 9 x^{2} y^{\prime \prime }+27 x y^{\prime }+10 y = \frac {1}{x}
\]
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\[
{} x^{2} y^{\prime \prime }-x y^{\prime }+2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+4 x y^{\prime }+2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }+37 x y^{\prime } = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }-3 x y^{\prime } = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }+x y^{\prime }-y = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }-3 x y^{\prime } = -8
\]
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\[
{} \left (x^{2}+1\right )^{2} y^{\prime \prime }+2 x \left (x^{2}+1\right ) y^{\prime }+4 y = 0
\]
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\[
{} \left (x^{2}+1\right )^{2} y^{\prime \prime }+2 x \left (x^{2}+1\right ) y^{\prime }+4 y = \arctan \left (x \right )
\]
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\[
{} \left (x^{2}+1\right )^{2} y^{\prime \prime }+2 x \left (x^{2}+1\right ) y^{\prime }+4 y = 0
\]
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\[
{} \left (x^{2}+1\right )^{2} y^{\prime \prime }+2 x \left (x^{2}+1\right ) y^{\prime }+4 y = \arctan \left (x \right )
\]
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\[
{} \left (x^{4}-1\right ) y^{\prime \prime }+\left (x^{3}-x \right ) y^{\prime }+\left (x^{2}-1\right ) y = 0
\]
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\[
{} \left (x^{4}-1\right ) y^{\prime \prime }+\left (x^{3}-x \right ) y^{\prime }+\left (4 x^{2}-4\right ) y = 0
\]
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\[
{} \left (x^{4}-1\right ) y^{\prime \prime }+\left (x^{3}-x \right ) y^{\prime }+\left (x^{2}-1\right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+4 x y^{\prime }+2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y = x^{2}
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+4 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }+16 x^{2} y^{\prime \prime }+79 x y^{\prime }+125 y = 0
\]
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\[
{} x^{4} y^{\prime \prime \prime \prime }+5 x^{3} y^{\prime \prime \prime }-12 x^{2} y^{\prime \prime }-12 x y^{\prime }+48 y = 0
\]
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\[
{} x^{4} y^{\prime \prime \prime \prime }+14 x^{3} y^{\prime \prime \prime }+55 x^{2} y^{\prime \prime }+65 x y^{\prime }+15 y = 0
\]
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\[
{} x^{4} y^{\prime \prime \prime \prime }+8 x^{3} y^{\prime \prime \prime }+27 x^{2} y^{\prime \prime }+35 x y^{\prime }+45 y = 0
\]
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\[
{} x^{4} y^{\prime \prime \prime \prime }+10 x^{3} y^{\prime \prime \prime }+27 x^{2} y^{\prime \prime }+21 x y^{\prime }+4 y = 0
\]
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\[
{} x^{3} y^{\prime \prime \prime }+9 x^{2} y^{\prime \prime }+44 x y^{\prime }+58 y = 0
\]
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\[
{} 6 x^{2} y^{\prime \prime }+5 x y^{\prime }-y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }+7 y = 0
\]
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\[
{} \left (x -2\right ) y^{\prime \prime }+y^{\prime }-y = 0
\]
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\[
{} \left (x^{2}-4\right ) y^{\prime \prime }+16 \left (x +2\right ) y^{\prime }-y = 0
\]
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\[
{} y^{\prime \prime }+3 y^{\prime }-18 y = 0
\]
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\[
{} y^{\prime \prime }-11 y^{\prime }+30 y = 0
\]
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\[
{} y^{\prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime }-y^{\prime }-2 y = {\mathrm e}^{-x}
\]
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\[
{} \left (-2-2 x \right ) y^{\prime \prime }+2 y^{\prime }+4 y = 0
\]
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\[
{} \left (3 x +2\right ) y^{\prime \prime }+3 x y^{\prime } = 0
\]
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\[
{} \left (3 x +1\right ) y^{\prime \prime }-3 y^{\prime }-2 y = 0
\]
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\[
{} \left (-x^{2}+2\right ) y^{\prime \prime }+2 \left (x -1\right ) y^{\prime }+4 y = 0
\]
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\[
{} y^{\prime \prime }-x y^{\prime }+4 y = 0
\]
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\[
{} \left (2 x^{2}+2\right ) y^{\prime \prime }+2 x y^{\prime }-3 y = 0
\]
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\[
{} \left (3-2 x \right ) y^{\prime \prime }+2 y^{\prime }-2 y = 0
\]
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\[
{} y^{\prime \prime }-4 x^{2} y = 0
\]
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\[
{} \left (2 x^{2}-1\right ) y^{\prime \prime }+2 x y^{\prime }-3 y = 0
\]
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\[
{} y^{\prime \prime }+x y^{\prime } = \sin \left (x \right )
\]
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\[
{} y^{\prime \prime }+y^{\prime }+x y = \cos \left (x \right )
\]
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\[
{} y^{\prime \prime }+\left (-1+y^{2}\right ) y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }+\left (\frac {{y^{\prime }}^{2}}{3}-1\right ) y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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\[
{} y^{\prime \prime }-2 x y^{\prime }+6 y = 0
\]
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\[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }+y = 0
\]
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\[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }+9 y = 0
\]
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\[
{} y^{\prime \prime }-\cos \left (x \right ) y = \sin \left (x \right )
\]
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\[
{} x^{2} y^{\prime \prime }+6 y = 0
\]
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\[
{} x \left (1+x \right ) y^{\prime \prime }+\frac {y^{\prime }}{x^{2}}+5 y = 0
\]
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\[
{} \left (x^{2}-3 x -4\right ) y^{\prime \prime }-\left (1+x \right ) y^{\prime }+\left (x^{2}-1\right ) y = 0
\]
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\[
{} \left (x^{2}-25\right )^{2} y^{\prime \prime }-\left (x +5\right ) y^{\prime }+10 y = 0
\]
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\[
{} 2 x y^{\prime \prime }-5 y^{\prime }-3 y = 0
\]
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\[
{} 5 x y^{\prime \prime }+8 y^{\prime }-x y = 0
\]
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\[
{} 9 x y^{\prime \prime }+14 y^{\prime }+\left (x -1\right ) y = 0
\]
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\[
{} 7 x y^{\prime \prime }+10 y^{\prime }+\left (-x^{2}+1\right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x -1\right ) y = 0
\]
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\[
{} x y^{\prime \prime }+2 x y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }+\frac {8 y^{\prime }}{3 x}-\left (\frac {2}{3 x^{2}}-1\right ) y = 0
\]
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\[
{} y^{\prime \prime }+\left (\frac {16}{3 x}-1\right ) y^{\prime }-\frac {16 y}{3 x^{2}} = 0
\]
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\[
{} y^{\prime \prime }+\left (\frac {1}{2 x}-2\right ) y^{\prime }-\frac {35 y}{16 x^{2}} = 0
\]
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\[
{} y^{\prime \prime }-\left (\frac {1}{x}+2\right ) y^{\prime }+\left (x +\frac {1}{x^{2}}\right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+7 x y^{\prime }-7 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 0
\]
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\[
{} y^{\prime \prime }+x y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (-k^{2}+x^{2}\right ) y = 0
\]
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\[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+k \left (k +1\right ) y = 0
\]
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\[
{} x \left (1-x \right ) y^{\prime \prime }+\left (\frac {1}{2}-3 x \right ) y^{\prime }-y = 0
\]
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\[
{} x \left (1-x \right ) y^{\prime \prime }+y^{\prime }+2 y = 0
\]
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\[
{} x \left (1-x \right ) y^{\prime \prime }+\left (1-2 x \right ) y^{\prime }+2 y = 0
\]
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\[
{} x y^{\prime \prime }+\left (1-x \right ) y^{\prime }+k y = 0
\]
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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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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (16 x^{2}-25\right ) y = 0
\]
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\[
{} y^{\prime \prime }-7 y^{\prime }+10 y = 0
\]
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\[
{} y^{\prime \prime }-y^{\prime }-2 y = 0
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }+2 y = 0
\]
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\[
{} \left (t +1\right )^{2} y^{\prime \prime }-2 \left (t +1\right ) y^{\prime }+2 y = 0
\]
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\[
{} t y^{\prime \prime }+2 y^{\prime }+t y = 0
\]
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\[
{} y^{\prime \prime }+7 y^{\prime }+10 y = 0
\]
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\[
{} 6 y^{\prime \prime }+5 y^{\prime }-4 y = 0
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }+3 y^{\prime }+2 y = 0
\]
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\[
{} y^{\prime \prime }-10 y^{\prime }+34 y = 0
\]
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\[
{} 2 y^{\prime \prime }-5 y^{\prime }+2 y = 0
\]
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\[
{} 15 y^{\prime \prime }-11 y^{\prime }+2 y = 0
\]
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\[
{} 20 y^{\prime \prime }+y^{\prime }-y = 0
\]
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\[
{} 12 y^{\prime \prime }+8 y^{\prime }+y = 0
\]
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\[
{} 2 y^{\prime \prime \prime }+3 y^{\prime \prime }+y^{\prime } = 0
\]
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\[
{} 9 y^{\prime \prime \prime }+36 y^{\prime \prime }+40 y^{\prime } = 0
\]
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\[
{} 9 y^{\prime \prime \prime }+12 y^{\prime \prime }+13 y^{\prime } = 0
\]
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\[
{} y^{\prime \prime }-2 y^{\prime }-8 y = -t
\]
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\[
{} y^{\prime \prime }+5 y^{\prime } = 5 t^{2}
\]
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\[
{} y^{\prime \prime }-4 y^{\prime } = -3 \sin \left (t \right )
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+5 y = 3 \sin \left (2 t \right )
\]
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\[
{} y^{\prime \prime }-9 y = \frac {1}{1+{\mathrm e}^{3 t}}
\]
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