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Mathematica |
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Sympy |
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\[
{} y^{\prime \prime }+2 x y^{\prime } = 0
\]
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\[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }-3 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-4 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+7 x y^{\prime }+9 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-x y^{\prime }+6 y = 0
\]
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\[
{} x^{2} \left (2-x \right ) y^{\prime \prime }+2 x y^{\prime }-2 y = 0
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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\[
{} x y^{\prime \prime }-2 \left (1+x \right ) y^{\prime }+\left (x +2\right ) y = 0
\]
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\[
{} 3 x y^{\prime \prime }-2 \left (3 x -1\right ) y^{\prime }+\left (3 x -2\right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+\left (1+x \right ) y^{\prime }-y = 0
\]
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\[
{} x \left (1+x \right ) y^{\prime \prime }-\left (x -1\right ) y^{\prime }+y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+3 y = 0
\]
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\[
{} \left (x^{2}+2 x \right ) y^{\prime \prime }-2 \left (1+x \right ) y^{\prime }+2 y = 0
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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\[
{} y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}-2\right ) y = 0
\]
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\[
{} x \left (1+x \right )^{2} y^{\prime \prime }+\left (-x^{2}+1\right ) y^{\prime }+\left (x -1\right ) y = 0
\]
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\[
{} x \left (1-x \right ) y^{\prime \prime }+2 \left (1-2 x \right ) y^{\prime }-2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-9 y = 0
\]
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\[
{} x y^{\prime \prime }+\frac {y^{\prime }}{2}+2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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\[
{} 2 x y^{\prime \prime }-y^{\prime }+2 y = 0
\]
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\[
{} x y^{\prime \prime }+x y^{\prime }-2 y = 0
\]
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\[
{} x \left (x -1\right )^{2} y^{\prime \prime }-2 y = 0
\]
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\[
{} x y^{\prime \prime }+\left (1-x \right ) y^{\prime }+m y = 0
\]
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\[
{} \left (x -1\right ) y^{\prime \prime }-x y^{\prime }+y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 0
\]
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\[
{} x y^{\prime \prime }-y^{\prime }+4 x^{3} y = 0
\]
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\[
{} x y^{\prime \prime }-\left (x +2\right ) y^{\prime }+2 y = 0
\]
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\[
{} y^{\prime \prime }-2 \tan \left (x \right ) y^{\prime }-10 y = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime }+4 x^{3} y^{\prime }+\left (x^{2}+1\right )^{2} y = 0
\]
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\[
{} x y^{\prime \prime }-y^{\prime }+4 x^{3} y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-4 x y^{\prime }+\left (9 x^{2}+6\right ) y = 0
\]
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\[
{} x y^{\prime \prime }+2 y^{\prime } = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime }+y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-7 x y^{\prime }+15 y = 0
\]
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\[
{} x y^{\prime \prime }-y^{\prime } = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+\left (x^{2}-x \right ) y^{\prime }+\left (1-x \right ) y = 0
\]
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\[
{} y^{\prime \prime }+\frac {y^{\prime }}{x}-\frac {y}{x^{2}} = 0
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }+x y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }-\cot \left (x \right ) y^{\prime }+\cos \left (x \right ) y = 0
\]
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\[
{} y^{\prime \prime }+\frac {y^{\prime }}{x}+x^{2} y = 0
\]
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\[
{} x^{2} \left (-x^{2}+1\right ) y^{\prime \prime }+2 x \left (-x^{2}+1\right ) y^{\prime }-2 y = 0
\]
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\[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }+x \left (1-x \right ) y^{\prime }+y \,{\mathrm e}^{x} = 0
\]
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\[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }+4 y = 0
\]
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\[
{} \left (x^{2}+1\right ) y^{\prime \prime }+x y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }+2 x^{2} y^{\prime }+\left (x^{4}+2 x -1\right ) y = 0
\]
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\[
{} \sin \left (x \right ) u^{\prime \prime }+2 \cos \left (x \right ) u^{\prime }+\sin \left (x \right ) u = 0
\]
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\[
{} y^{\prime \prime }-\frac {x y^{\prime }}{-x^{2}+1}+\frac {y}{-x^{2}+1} = 0
\]
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\[
{} u^{\prime \prime }-\left (2 x +1\right ) u^{\prime }+\left (x^{2}+x -1\right ) u = 0
\]
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\[
{} y^{\prime \prime }+2 y^{\prime }+\left (1+\frac {2}{\left (3 x +1\right )^{2}}\right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }+\left (x^{2}+2\right ) y = 0
\]
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\[
{} y^{\prime \prime }+\frac {2 y^{\prime }}{x}-\frac {2 y}{\left (1+x \right )^{2}} = 0
\]
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\[
{} u^{\prime \prime }-\cot \left (\theta \right ) u^{\prime } = 0
\]
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\[
{} y^{\prime \prime }-\frac {y^{\prime }}{\sqrt {x}}+\frac {\left (-8+\sqrt {x}+x \right ) y}{4 x^{2}} = 0
\]
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\[
{} \left (-x^{2}+1\right ) z^{\prime \prime }+\left (1-3 x \right ) z^{\prime }+k z = 0
\]
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\[
{} \left (-x^{2}+1\right ) \eta ^{\prime \prime }-\left (1+x \right ) \eta ^{\prime }+\left (k +1\right ) \eta = 0
\]
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\[
{} y^{\prime \prime }+\frac {y^{\prime }}{x}-\frac {y}{x^{2}} = 0
\]
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\[
{} y^{\prime \prime }+\frac {y^{\prime }}{x}-\frac {y}{x^{2}} = 0
\]
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\[
{} \left (3 x -1\right )^{2} y^{\prime \prime }+\left (9 x -3\right ) y^{\prime }-9 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-7 x y^{\prime }+15 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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\[
{} y^{\prime \prime }-4 x y^{\prime }+\left (4 x^{2}-2\right ) y = 0
\]
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\[
{} x y^{\prime \prime }-\left (1+x \right ) y^{\prime }+y = 0
\]
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\[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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\[
{} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-x y^{\prime }+y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+4 x y^{\prime }+\left (x^{2}+2\right ) y = 0
\]
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\[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-x y^{\prime }+\alpha ^{2} y = 0
\]
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\[
{} y^{\prime \prime }-2 x y^{\prime }+2 \alpha y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-6 y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }+x y^{\prime }-y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-4 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+5 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+\left (-2-i\right ) x y^{\prime }+3 i y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+3 x y^{\prime }+10 y = 0
\]
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\[
{} 2 x^{2} y^{\prime \prime }+10 x y^{\prime }+8 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-12 y = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime }-3 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-3 x y^{\prime }+4 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-6 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }+3 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-16 y = 0
\]
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\[
{} x y^{\prime \prime }+3 y^{\prime } = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }-4 y = 0
\]
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\[
{} \left (-x^{2}+1\right ) y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{4}\right ) y = 0
\]
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\[
{} y^{\prime \prime }-\frac {x y^{\prime }}{x -1}+\frac {y}{x -1} = 0
\]
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\[
{} x^{2} y^{\prime \prime }+2 x y^{\prime }-2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-x \left (x +2\right ) y^{\prime }+\left (x +2\right ) y = 0
\]
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\[
{} y^{\prime \prime }-x f \left (x \right ) y^{\prime }+f \left (x \right ) y = 0
\]
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\[
{} x y^{\prime \prime }-\left (2 x +1\right ) y^{\prime }+\left (1+x \right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }-2 x y^{\prime }+2 y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-\frac {1}{9}\right ) y = 0
\]
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\[
{} x^{2} y^{\prime \prime }+x y^{\prime }+\left (x^{2}-1\right ) y = 0
\]
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\[
{} 4 x^{2} y^{\prime \prime }+4 x y^{\prime }+\left (4 x^{2}-25\right ) y = 0
\]
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\[
{} 16 x^{2} y^{\prime \prime }+16 x y^{\prime }+\left (16 x^{2}-1\right ) y = 0
\]
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