Given that, u = cos(Act) sin(A. x) is an appropriate form of separated solution, solve the wave equation together with the conditions, Ә Ət u(0, t) = 0 u(π, t) = 0 u(x,0) = 0 u(x,0) = f(x), . t> 0, t> 0, 0 ≤ x ≤ π, and 0≤x≤n. for an arbitrary initial condition f(x) using the method of separated solutions. u(x, t) Your solution must contain a summation. Summations can be entered into the answer box in the form of sum(function, index variable, lower bound, upper bound). You must use index variable = n for your solution to be marked correctly. For example sum(A*B*C[n], n, 1, inf) = ₁ A.B. Cn Hint: we are dealing with the linear wave equation so we can superpose solutions. Check
Given that, u = cos(Act) sin(A. x) is an appropriate form of separated solution, solve the wave equation together with the conditions, Ә Ət u(0, t) = 0 u(π, t) = 0 u(x,0) = 0 u(x,0) = f(x), . t> 0, t> 0, 0 ≤ x ≤ π, and 0≤x≤n. for an arbitrary initial condition f(x) using the method of separated solutions. u(x, t) Your solution must contain a summation. Summations can be entered into the answer box in the form of sum(function, index variable, lower bound, upper bound). You must use index variable = n for your solution to be marked correctly. For example sum(A*B*C[n], n, 1, inf) = ₁ A.B. Cn Hint: we are dealing with the linear wave equation so we can superpose solutions. Check
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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