I have a question that: Considering the 1D wave equation $u_{tt} - u_{xx} = 0$ in the domain $0\leq x \leq s(t)$ where $s(t)$ be a given positive function. Changing the variable $y = \frac{x}{s(t)}$, and taking $w(y,t) = u(s(t)y,t) = u(x,t)$. What is the wave equation for $w(y,t)$ ? Anyone can help me to calculate ?
2026-03-29 20:50:11.1774817411
How to derive the new wave equation
54 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in REAL-ANALYSIS
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