Consider a vibrating finite string with zero displacement at the ends Fu ₂0²u 01² ər² u(0, t) = 0, u(a, t) = 0 u(x,0) = 0, (PDE) (BC) (ICI) (IC2) ди Ət -(,0) = g(x) = A cos ={8 cnml a Find a Fourier series form for the solution u(r, t). Remark: You may use the fact that the product solutions of (PDE)-(BC) are of the form + B sin cn=l 00, a t> 0, 0
Consider a vibrating finite string with zero displacement at the ends Fu ₂0²u 01² ər² u(0, t) = 0, u(a, t) = 0 u(x,0) = 0, (PDE) (BC) (ICI) (IC2) ди Ət -(,0) = g(x) = A cos ={8 cnml a Find a Fourier series form for the solution u(r, t). Remark: You may use the fact that the product solutions of (PDE)-(BC) are of the form + B sin cn=l 00, a t> 0, 0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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