1. Math
  2. Advanced Math
  3. 6 suppose that ux t solves the wave equation uttuzz...

Question: 6 suppose that ux t solves the wave equation uttuzz...

Question details

(6) Suppose that u(x, t) solves the wave equation utt-uzz = 0, (x, t) E R2 with the initial conditions If φ and ψ are odd functions, ie. φ(x)--φ(-x) and ψ(x)--ψ(-x), for all xER , show that u(x, t)- -u(-z,t), for (x,t) ER (Use dAlemberts formula.)

Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution