Solution: Show that K(x, t)=(1)/(√4 π t) e^-x^2 / 4 t is a solution of the heat equation u_t=u_x
Question: Show that \(K(x, t)=\frac{1}{\sqrt{4 \pi t}} e^{-x^{2} / 4 t}\) is a solution of the heat equation \(u_{t}=u_{x x}\).
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