1) Wave Equation a2F, 1 a?F = 0 For the 1-D wave equation in x, , show that the following expressions are all solutions a) arbitrary function F(x+vt) b) arbitrary function F(x-vt) c) the sum: a F(x+vt) + b F(x-vt) (where a and b are constants) d) The specific function F(x,t) = Acos(wt - Bx + ¢.) where W =2 nf, B=2n/2, ¢, are constants w.r.t x and t. What is v in this case?

1) Wave Equation a2F, 1 a?F = 0 For the 1-D wave equation in x, , show that the following expressions are all solutions a) arbitrary function F(x+vt) b) arbitrary function F(x-vt) c) the sum: a F(x+vt) + b F(x-vt) (where a and b are constants) d) The specific function F(x,t) = Acos(wt - Bx + ¢.) where W =2 nf, B=2n/2, ¢, are constants w.r.t x and t. What is v in this case?

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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