3. Prove that the general solution of the wave equation ut = c²uzz is u(x, t) = F(x + ct) +G(x-ct), where F and G are c¹ functions. (Hint: let = x+ct and n = x-ct) Utt
3. Prove that the general solution of the wave equation ut = c²uzz is u(x, t) = F(x + ct) +G(x-ct), where F and G are c¹ functions. (Hint: let = x+ct and n = x-ct) Utt
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. Prove that the general solution of the wave
equation ut = curr is u(x, t) = F(x + ct) +G(x-ct), where
¿2²uxx
F and G are c¹ functions. (Hint: let & = x+ct and n = x-ct)
Utt
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