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The function 

LaTeX Math Inline
body\displaystyle f{\rm w}(t, r) = {\rm Ei} \left( - \frac{r^2}{4 \, t} \right)
 honor the Planar axial-symmetric diffusion equation

LaTeX Math Block
anchordiff
alignmentleft
\frac{\partial f{\rm w}}{\partial t} = \frac{\partial f^2 {\rm w}^2}{\partial^2 r} + \frac{1}{r} \frac{\partial f{\rm w}}{\partial r}



References

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https://www.wolframalpha.com/input/?i=Ei(x)

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