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(c) Let u(x, t) satisfy the hyperbolic system 4u, - u = 4 cos(t), xe R, t > 0. i. Find a general solution to the above system. ii. Let u(x, 0) = -1 and u,(x,0) = 0. Use the general solution you found in the previous part to find u.

(c) Let u(x, t) satisfy the hyperbolic system 4u, - u = 4 cos(t), xe R, t > 0. i. Find a general solution to the above system. ii. Let u(x, 0) = -1 and u,(x,0) = 0. Use the general solution you found in the previous part to find u.

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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(c) Let u(x, t) satisfy the hyperbolic system 4u, - u = 4 cos(t), xe R, t > 0. i. Find a general solution to the above system. ii. Let u(x, 0) = -1 and u,(x,0) = 0. Use the general solution you found in the previous part to find u.
Transcribed Image Text:(c) Let u(x, t) satisfy the hyperbolic system 4u, - u = 4 cos(t), xe R, t > 0. i. Find a general solution to the above system. ii. Let u(x, 0) = -1 and u,(x,0) = 0. Use the general solution you found in the previous part to find u.
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