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- Jan 26, 2012

- 995

**: Use convolution to show that $\displaystyle\mathcal{L}^{-1}\left\{\frac{1}{(s-1)\sqrt{s}}\right\} =\frac{2e^t}{\sqrt{\pi}} \int_0^{\sqrt{t}} e^{-u^2}\,du = e^t\,\mathrm{erf}\sqrt{t}$.**

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