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Mathematica |
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\[
{}2 x y^{\prime \prime }-\left (2 x^{2}+1\right ) y^{\prime }-x y = 0
\] |
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\[
{}2 x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
\] |
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\[
{}2 x^{2} y^{\prime \prime }-3 x y^{\prime }+2 y = 0
\] |
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\[
{}9 x^{2} y^{\prime \prime }+2 y = 0
\] |
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\[
{}2 x^{2} y^{\prime \prime }+5 x y^{\prime }-2 y = 0
\] |
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\[
{}2 x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
\] |
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\[
{}2 x^{2} y^{\prime \prime }-3 x y^{\prime }+2 y = 0
\] |
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\[
{}9 x^{2} y^{\prime \prime }+2 y = 0
\] |
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\[
{}2 x^{2} y^{\prime \prime }+5 x y^{\prime }-2 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+2 x y^{\prime }-12 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }-9 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-5 x y^{\prime }+9 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+5 x y^{\prime }+5 y = 0
\] |
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\[
{}x^{3} y^{\prime \prime \prime }+4 x^{2} y^{\prime \prime }-8 x y^{\prime }+8 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-x \left (1+x \right ) y^{\prime }+y = 0
\] |
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\[
{}4 x^{2} y^{\prime \prime }+\left (1-2 x \right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x \left (x -3\right ) y^{\prime }+4 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+3 x y^{\prime }+\left (4 x^{2}+1\right ) y = 0
\] |
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\[
{}x \left (1+x \right ) y^{\prime \prime }+\left (1+5 x \right ) y^{\prime }+3 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-x \left (1+3 x \right ) y^{\prime }+\left (1-6 x \right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x \left (x -1\right ) y^{\prime }+\left (1-x \right ) y = 0
\] |
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\[
{}x \left (x -2\right ) y^{\prime \prime }+2 \left (x -1\right ) y^{\prime }-2 y = 0
\] |
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\[
{}x \left (x -2\right ) y^{\prime \prime }+2 \left (x -1\right ) y^{\prime }-2 y = 0
\] |
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\[
{}4 \left (x -4\right )^{2} y^{\prime \prime }+\left (x -4\right ) \left (x -8\right ) y^{\prime }+x y = 0
\] |
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\[
{}x y^{\prime \prime }+y^{\prime }-x y = 0
\] |
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\[
{}x y^{\prime \prime }+y^{\prime }-x y = 0
\] |
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\[
{}x y^{\prime \prime }+\left (-x^{2}+1\right ) y^{\prime }-x y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x \left (2 x +3\right ) y^{\prime }+\left (1+3 x \right ) y = 0
\] |
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\[
{}4 x^{2} y^{\prime \prime }+8 x \left (1+x \right ) y^{\prime }+y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+3 x \left (1+x \right ) y^{\prime }+\left (1-3 x \right ) y = 0
\] |
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\[
{}x y^{\prime \prime }+\left (1-x \right ) y^{\prime }-y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+2 x \left (x -2\right ) y^{\prime }+2 \left (2-3 x \right ) y = 0
\] |
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\[
{}x^{2} \left (2 x +1\right ) y^{\prime \prime }+2 x \left (6 x +1\right ) y^{\prime }-2 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x \left (3 x +2\right ) y^{\prime }-2 y = 0
\] |
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\[
{}x y^{\prime \prime }-\left (x +3\right ) y^{\prime }+2 y = 0
\] |
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\[
{}x \left (1+x \right ) y^{\prime \prime }+\left (x +5\right ) y^{\prime }-4 y = 0
\] |
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\[
{}x \left (1+x \right ) y^{\prime \prime }+\left (x +5\right ) y^{\prime }-4 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x^{2} y^{\prime }-2 y = 0
\] |
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\[
{}x \left (1-x \right ) y^{\prime \prime }-3 y^{\prime }+2 y = 0
\] |
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\[
{}x \left (1-x \right ) y^{\prime \prime }-3 y^{\prime }+2 y = 0
\] |
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\[
{}x y^{\prime \prime }+\left (3 x +4\right ) y^{\prime }+3 y = 0
\] |
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\[
{}x y^{\prime \prime }-2 \left (x +2\right ) y^{\prime }+4 y = 0
\] |
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\[
{}x y^{\prime \prime }+\left (2 x +3\right ) y^{\prime }+4 y = 0
\] |
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\[
{}x \left (x +3\right ) y^{\prime \prime }-9 y^{\prime }-6 y = 0
\] |
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\[
{}x \left (1-2 x \right ) y^{\prime \prime }-2 \left (x +2\right ) y^{\prime }+8 y = 0
\] |
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\[
{}x y^{\prime \prime }+\left (x^{3}-1\right ) y^{\prime }+x^{2} y = 0
\] |
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\[
{}x^{2} \left (4 x -1\right ) y^{\prime \prime }+x \left (1+5 x \right ) y^{\prime }+3 y = 0
\] |
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\[
{}x y^{\prime \prime }+y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-3 x y^{\prime }+\left (4 x +3\right ) y = 0
\] |
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\[
{}2 x y^{\prime \prime }+6 y^{\prime }+y = 0
\] |
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\[
{}4 x^{2} y^{\prime \prime }+2 x \left (2-x \right ) y^{\prime }-\left (1+3 x \right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-x \left (6+x \right ) y^{\prime }+10 y = 0
\] |
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\[
{}x y^{\prime \prime }+\left (2 x +3\right ) y^{\prime }+8 y = 0
\] |
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\[
{}x \left (1-x \right ) y^{\prime \prime }+2 \left (1-x \right ) y^{\prime }+2 y = 0
\] |
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\[
{}x \left (1-x \right ) y^{\prime \prime }+2 \left (1-x \right ) y^{\prime }+2 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-1\right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-1\right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-5 x y^{\prime }+\left (8+5 x \right ) y = 0
\] |
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\[
{}x y^{\prime \prime }+\left (3-x \right ) y^{\prime }-5 y = 0
\] |
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\[
{}9 x^{2} y^{\prime \prime }-15 x y^{\prime }+7 \left (1+x \right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x \left (1-2 x \right ) y^{\prime }-\left (1+x \right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+3 x y^{\prime }+\left (x^{3}+x +1\right ) y = 0
\] |
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\[
{}2 x \left (1-x \right ) y^{\prime \prime }+\left (1-2 x \right ) y^{\prime }+\left (x +2\right ) y = 0
\] |
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\[
{}x y^{\prime \prime }+y^{\prime }+x \left (1+x \right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x \left (1+x \right ) y^{\prime }-\left (6 x^{2}-3 x +1\right ) y = 0
\] |
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\[
{}x y^{\prime \prime }+x y^{\prime }+\left (x^{4}+1\right ) y = 0
\] |
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\[
{}x \left (x -2\right )^{2} y^{\prime \prime }-2 \left (x -2\right ) y^{\prime }+2 y = 0
\] |
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\[
{}x \left (x -2\right )^{2} y^{\prime \prime }-2 \left (x -2\right ) y^{\prime }+2 y = 0
\] |
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\[
{}2 x y^{\prime \prime }+\left (1-x \right ) y^{\prime }-\left (1+x \right ) y = 0
\] |
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\[
{}x y^{\prime \prime }-\left (x +2\right ) y^{\prime }-y = 0
\] |
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\[
{}x y^{\prime \prime }-\left (x +2\right ) y^{\prime }-2 y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+2 x^{2} y^{\prime }-2 y = 0
\] |
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\[
{}2 x^{2} y^{\prime \prime }-x \left (2 x +7\right ) y^{\prime }+2 \left (x +5\right ) y = 0
\] |
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\[
{}x^{2} \left (x^{2}+1\right ) y^{\prime \prime }+2 x \left (x^{2}+3\right ) y^{\prime }+6 y = 0
\] |
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\[
{}\left (-x^{2}+1\right ) y^{\prime \prime }-10 x y^{\prime }-18 y = 0
\] |
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\[
{}2 x y^{\prime \prime }+\left (2 x +1\right ) y^{\prime }-3 y = 0
\] |
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\[
{}y^{\prime \prime }+2 x y^{\prime }-8 y = 0
\] |
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\[
{}x \left (-x^{2}+1\right ) y^{\prime \prime }-\left (x^{2}+7\right ) y^{\prime }+4 x y = 0
\] |
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\[
{}2 x^{2} y^{\prime \prime }-x \left (2 x +1\right ) y^{\prime }+\left (4 x +1\right ) y = 0
\] |
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\[
{}4 x^{2} y^{\prime \prime }-2 x \left (x +2\right ) y^{\prime }+\left (x +3\right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-x \left (x^{2}+1\right ) y^{\prime }+\left (-x^{2}+1\right ) y = 0
\] |
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\[
{}2 x y^{\prime \prime }+y^{\prime }+y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x \left (x^{2}-3\right ) y^{\prime }+4 y = 0
\] |
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\[
{}4 x^{2} y^{\prime \prime }-x^{2} y^{\prime }+y = 0
\] |
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\[
{}\left (x^{2}+1\right ) y^{\prime \prime }-2 y = 0
\] |
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\[
{}2 x^{2} y^{\prime \prime }-x \left (2 x +1\right ) y^{\prime }+\left (1+3 x \right ) y = 0
\] |
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\[
{}4 x^{2} y^{\prime \prime }+3 x^{2} y^{\prime }+\left (1+3 x \right ) y = 0
\] |
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\[
{}x y^{\prime \prime }+\left (-x^{2}+1\right ) y^{\prime }+2 x y = 0
\] |
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\[
{}4 x^{2} y^{\prime \prime }+2 x^{2} y^{\prime }-\left (x +3\right ) y = 0
\] |
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\[
{}x \left (-x^{2}+1\right ) y^{\prime \prime }+5 \left (-x^{2}+1\right ) y^{\prime }-4 x y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x \left (x +3\right ) y^{\prime }+\left (2 x +1\right ) y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }+x y^{\prime }-\left (x^{2}+4\right ) y = 0
\] |
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\[
{}x \left (1-2 x \right ) y^{\prime \prime }-2 \left (x +2\right ) y^{\prime }+18 y = 0
\] |
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\[
{}x y^{\prime \prime }+\left (2-x \right ) y^{\prime }-y = 0
\] |
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\[
{}x^{2} y^{\prime \prime }-3 x y^{\prime }+4 \left (1+x \right ) y = 0
\] |
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\[
{}y^{\prime } = \frac {y}{x \ln \left (x \right )}
\] |
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\[
{}\left (x^{2}+1\right ) y^{\prime }+y^{2} = -1
\] |
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\[
{}y^{\prime }+\frac {2 y}{x} = 5 x^{2}
\] |
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\[
{}t x^{\prime }+2 x = 4 \,{\mathrm e}^{t}
\] |
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