1. Math
  2. Advanced Math
  3. 6 suppose that ux t solves the wave equation u0...

Question: 6 suppose that ux t solves the wave equation u0...

Question details

(6) Suppose that u(x, t) solves the wave equation u0, (x, t) ER u(z,0)= φ(x), ut(z,0)=ψ(x), xe R. φ(x)--φ(-x) and ψ(x)--t(-x), for all x ER, a(x, t) =-u(-x, t), for all (x, t) R2 with the initial conditions If φ and ψ are odd functions, ie. show that (Use dAlemberts formula.)

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