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HW3: Using the variables separation method, find the solution for the = 0 regarding the initial conditions: d?u ne - 2 PDE at əx u(0, t) = u(3, x) = 0 and 0

HW3: Using the variables separation method, find the solution for the = 0 regarding the initial conditions: d?u ne - 2 PDE at əx u(0, t) = u(3, x) = 0 and 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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HW3: Using the variables separation method, find the solution for the ne d²u at u(0, t) = u(3, x) = 0 and 0 < x < 3 and 0 <t u(x, 0) = 5sin4Ttx – 3sin8TTX + 2sin10tx PDE 0 regarding the initial conditions: - ax a2y Hint: solution of the 2nd order DE + k?y = 0 is given by a2x y = Acoskx + Bsinkx, where k, A and B are constants
Transcribed Image Text:HW3: Using the variables separation method, find the solution for the ne d²u at u(0, t) = u(3, x) = 0 and 0 < x < 3 and 0 <t u(x, 0) = 5sin4Ttx – 3sin8TTX + 2sin10tx PDE 0 regarding the initial conditions: - ax a2y Hint: solution of the 2nd order DE + k?y = 0 is given by a2x y = Acoskx + Bsinkx, where k, A and B are constants
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