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Mathematica |
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\[
{} y^{\prime \prime }+x^{2} y^{\prime }+2 x y = 10 x^{3}-2 x +5
\]
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\[
{} y^{\prime \prime }+y = 0
\]
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\[
{} y^{\prime \prime }-9 y = 0
\]
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\[
{} y^{\prime \prime }+3 x y^{\prime }+3 y = 0
\]
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\[
{} \left (4 x^{2}+1\right ) y^{\prime \prime }-8 y = 0
\]
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\[
{} \left (-4 x^{2}+1\right ) y^{\prime \prime }+8 y = 0
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }-4 x y^{\prime }+6 y = 0
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }+10 x y^{\prime }+20 y = 0
\]
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\[
{} \left (x^{2}+4\right ) y^{\prime \prime }+2 x y^{\prime }-12 y = 0
\]
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\[
{} \left (x^{2}-9\right ) y^{\prime \prime }+3 x y^{\prime }-3 y = 0
\]
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\[
{} y^{\prime \prime }+2 x y^{\prime }+5 y = 0
\]
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\[
{} \left (x^{2}+4\right ) y^{\prime \prime }+6 x y^{\prime }+4 y = 0
\]
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\[
{} \left (2 x^{2}+1\right ) y^{\prime \prime }-5 x y^{\prime }+3 y = 0
\]
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\[
{} y^{\prime \prime }+x^{2} y = 0
\]
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\[
{} \left (-4 x^{2}+1\right ) y^{\prime \prime }+6 x y^{\prime }-4 y = 0
\]
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\[
{} \left (2 x^{2}+1\right ) y^{\prime \prime }+3 x y^{\prime }-3 y = 0
\]
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\[
{} y^{\prime \prime }+x y^{\prime }+3 y = x^{2}
\]
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\[
{} y^{\prime \prime }+2 x y^{\prime }+2 y = 0
\]
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\[
{} y^{\prime \prime }+3 x y^{\prime }+7 y = 0
\]
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\[
{} 2 y^{\prime \prime }+9 x y^{\prime }-36 y = 0
\]
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\[
{} \left (x^{2}+4\right ) y^{\prime \prime }+x y^{\prime }-9 y = 0
\]
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\[
{} \left (x^{2}+4\right ) y^{\prime \prime }+3 x y^{\prime }-8 y = 0
\]
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\[
{} \left (9 x^{2}+1\right ) y^{\prime \prime }-18 y = 0
\]
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\[
{} \left (3 x^{2}+1\right ) y^{\prime \prime }+13 x y^{\prime }+7 y = 0
\]
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\[
{} \left (2 x^{2}+1\right ) y^{\prime \prime }+11 x y^{\prime }+9 y = 0
\]
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\[
{} y^{\prime \prime }-2 \left (x +3\right ) y^{\prime }-3 y = 0
\]
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\[
{} y^{\prime \prime }+\left (x -2\right ) y = 0
\]
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\[
{} \left (x^{2}-2 x +2\right ) y^{\prime \prime }-4 \left (x -1\right ) y^{\prime }+6 y = 0
\]
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\[
{} 2 x \left (1+x \right ) y^{\prime \prime }+3 \left (1+x \right ) y^{\prime }-y = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}-1\right ) y = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime }+4 x y^{\prime }-\left (4 x^{2}+1\right ) y = 0
\]
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\[
{} 4 x y^{\prime \prime }+3 y^{\prime }+3 y = 0
\]
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\[
{} 2 x^{2} \left (1-x \right ) y^{\prime \prime }-x \left (1+7 x \right ) y^{\prime }+y = 0
\]
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\[
{} 2 x y^{\prime \prime }+5 \left (1-2 x \right ) y^{\prime }-5 y = 0
\]
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\[
{} 8 x^{2} y^{\prime \prime }+10 x y^{\prime }-\left (1+x \right ) y = 0
\]
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\[
{} 2 x y^{\prime \prime }+\left (2-x \right ) y^{\prime }-2 y = 0
\]
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\[
{} 2 x \left (x +3\right ) y^{\prime \prime }-3 \left (1+x \right ) y^{\prime }+2 y = 0
\]
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\[
{} 2 x y^{\prime \prime }+\left (-2 x^{2}+1\right ) y^{\prime }-4 x y = 0
\]
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\[
{} x \left (4-x \right ) y^{\prime \prime }+\left (2-x \right ) y^{\prime }+4 y = 0
\]
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\[
{} 3 x^{2} y^{\prime \prime }+x y^{\prime }-\left (1+x \right ) y = 0
\]
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\[
{} 2 x y^{\prime \prime }+\left (2 x +1\right ) y^{\prime }+4 y = 0
\]
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\[
{} 2 x y^{\prime \prime }+\left (2 x +1\right ) y^{\prime }-5 y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }-3 x \left (1-x \right ) y^{\prime }+2 y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }+x \left (4 x -1\right ) y^{\prime }+2 \left (3 x -1\right ) y = 0
\]
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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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\[
{} x^{2} y^{\prime \prime }-x \left (1+x \right ) y^{\prime }+y = 0
\]
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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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\[
{} x^{2} y^{\prime \prime }-x \left (3 x +1\right ) y^{\prime }+\left (1-6 x \right ) y = 0
\]
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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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\[
{} x y^{\prime \prime }+\left (-x^{2}+1\right ) y^{\prime }-x y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x \left (2 x +3\right ) y^{\prime }+\left (3 x +1\right ) y = 0
\]
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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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\[
{} x^{2} \left (2 x +1\right ) y^{\prime \prime }+2 x \left (1+6 x \right ) y^{\prime }-2 y = 0
\]
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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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\[
{} x \left (1+x \right ) y^{\prime \prime }+\left (5+x \right ) y^{\prime }-4 y = 0
\]
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\[
{} x \left (1+x \right ) y^{\prime \prime }+\left (5+x \right ) y^{\prime }-4 y = 0
\]
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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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\[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+\left (3+4 x \right ) y = 0
\]
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\[
{} 2 x y^{\prime \prime }+6 y^{\prime }+y = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime }+2 x \left (2-x \right ) y^{\prime }-\left (3 x +1\right ) y = 0
\]
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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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\[
{} x^{2} y^{\prime \prime }-5 x y^{\prime }+\left (8+5 x \right ) y = 0
\]
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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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