Get answer: In 120, solve the given boundary-value problem by an appropriate integral
Chapter 15, Problem 16(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.
\(0.5 \frac{\partial^{2} u}{\partial x^{2}}=\frac{\partial u}{\partial t}\), x>0, t>0
\(\left.\frac{\partial u}{\partial x}\right|_{x=0}=0\), t>0
\(u(x, 0)=e^{-2 x}\), x>0
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