Get solution: In 120, solve the given boundary-value problem by an appropriate integral
Chapter 15, Problem 18(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.
\(\frac{\partial^{2} u}{\partial x^{2}}=\frac{\partial u}{\partial t}\), x>0, t>0
\(u(0, t)=100[\mathscr{U}(t-5)-\mathscr{U}(t-10)]\), t>0
\(\lim _{x \rightarrow \infty} u(x, t)=50\), t>0
u(x, 0)=50, x>0
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