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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6410 • ODE

Fall 1994 • Question 7

Question

Math 6410 • ODE Fall 1994 • Question 7

Solve the wave equation \[ u_{tt}=c^2u_{xx}+e^{2x},\qquad u(x,0)=0,\qquad u_t(x,0)=0 \] on \(-\infty <x<\infty \), \(0\le t<\infty \).

Raw LaTeX

Solve the wave equation
\[
u_{tt}=c^2u_{xx}+e^{2x},\qquad u(x,0)=0,\qquad u_t(x,0)=0
\]
on \(-\infty<x<\infty\), \(0\le t<\infty\).

Topic Tags

Wave Equation and Energy Methods