b)QUESTION 6 =Use the D'Alembert solution method to solve the wave equationJ²u0x²¹PuIt²with initial conditions= 2ди1u(x,0) = 12²-11, 3 (,0) = ₁2²Ət1+x²Consider the heat equationJuJ²uatəx²¹with boundary conditionsu(0, t) = 0,and initial conditionH-BAHK∞, t203-0 < x < 2,u(2, t) = 0,t> 0,t> 0,u(x,0) = cos x, 0 < x < 2.Use the method of separation of variables to determine the generalsolution of the equation.

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Answered: QUESTION 6 A Use the D'Alembert…

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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QUESTION 6 A Use the D'Alembert solution method to solve the wave equation J²u მე2 8²u dt² with initial conditions = 2 -8<<∞, t≥0 u(x,0) = x² - 11, ди (x, 0) 1 1+x²