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u(0, t) = 0, u(3, t) = 0, 120, a) Use the d'Alembert solution to solve UTM UTM Fu 1Pu UTMUTM -00

u(0, t) = 0, u(3, t) = 0, 120, a) Use the d'Alembert solution to solve UTM UTM Fu 1Pu UTMUTM -00

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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u(x,0) = 2+ x, 0< <3. 6 UTM UTM 6 UT a) Use the d'Alembert solution to solve UT 5 UTM u UTM UTM UTA -00 < < 00, t 20, 18u 5 UTM UTM UTM = Cos² r, u(r,0) = e**1. COS b) Solve the following heat equation by using the method of separation of UTM UTM UTM UT variables UTM UTM UTM UTM UTM 5 UTM S UTM du u 3 2- with boundary conditions UTM UTM G UTM M S UTM 8 U UTM UTM aUTM UT UTM BUTM UTM and initial 120, UTM UT SUTM UTM UTM UTM UTM UTM UTM UT UTM Sy UT
Transcribed Image Text:u(x,0) = 2+ x, 0< <3. 6 UTM UTM 6 UT a) Use the d'Alembert solution to solve UT 5 UTM u UTM UTM UTA -00 < < 00, t 20, 18u 5 UTM UTM UTM = Cos² r, u(r,0) = e**1. COS b) Solve the following heat equation by using the method of separation of UTM UTM UTM UT variables UTM UTM UTM UTM UTM 5 UTM S UTM du u 3 2- with boundary conditions UTM UTM G UTM M S UTM 8 U UTM UTM aUTM UT UTM BUTM UTM and initial 120, UTM UT SUTM UTM UTM UTM UTM UTM UTM UT UTM Sy UT
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