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Q2 Consider the following one-dimensional partial differentiation wave equation. 4Uxx = Utt 00 Boundary Conditions: u (0, t) = u (27, t) = 0, Initial Conditions are given below: consider g(x)= 0 in both cases. Produce the solution u(x, t) of this equation with given initial conditions. (а) u (x, 0) = f(x) = 3sin 2x +3 sin7x, 0

Q2 Consider the following one-dimensional partial differentiation wave equation. 4Uxx = Utt 00 Boundary Conditions: u (0, t) = u (27, t) = 0, Initial Conditions are given below: consider g(x)= 0 in both cases. Produce the solution u(x, t) of this equation with given initial conditions. (а) u (x, 0) = f(x) = 3sin 2x +3 sin7x, 0

Advanced Engineering Mathematics
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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Q2 Consider the following one-dimensional partial differentiation wave equation. 4UXX = Ut 0<x <2n, t> 0 Boundary Conditions: u (0, t) = u (2ñ, t) = 0, Initial Conditions are given below: consider g(x)= 0 in both cases. Produce the solution u(x, t) of this equation with given initial conditions. (a) u (x, 0) = f(x) = 3sin 2x +3 sin7x , 0<x<2n (b) u (х, 0) %3D f(x) —х +2, 0<x<2л
Transcribed Image Text:Q2 Consider the following one-dimensional partial differentiation wave equation. 4UXX = Ut 0<x <2n, t> 0 Boundary Conditions: u (0, t) = u (2ñ, t) = 0, Initial Conditions are given below: consider g(x)= 0 in both cases. Produce the solution u(x, t) of this equation with given initial conditions. (a) u (x, 0) = f(x) = 3sin 2x +3 sin7x , 0<x<2n (b) u (х, 0) %3D f(x) —х +2, 0<x<2л
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