how to Solve ut = kuxx (−∞ < x < ∞, 0 < t < ∞)  u(x, 0) = e^(3x)

Question : how to Solve ut = kuxx (−∞ < x < ∞, 0 < t < ∞)  u(x, 0) = e^(3x)Solution :To solve \[u_t\ \ =\ ku_{xx}\ \left(-\infty\ <\ x\ <\ \infty,\ 0\ <\ t\ <\ \infty\right)\] With initial…

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