Solution: In 120, solve the given boundary-value problem by an appropriate integral
Chapter 15, Problem 13(choose chapter or problem)
In Problems 1–20, solve the given boundary-value problem by an appropriate integral transform. Make assumptions about boundedness where necessary.
\(k \frac{\partial^{2} u}{\partial x^{2}}=\frac{\partial u}{\partial t}\), \(-\infty<x<\infty\), t>0
\(u(x, 0)=\left\{\begin{array}{ll}0, & x<0 \\e^{-x}, & x>0\end{array}\right.\)
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