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QUESTION 5 2) Use the D'Alembert solution method to solve the wave equation 1 Pu Pu 36 82 with initial conditions u(x, 0)=sinx, (2, 0) = e. at b) A boundary value problem that represents the potential distribution u(x, y) over a rectangular plate is given by Pu Pu + -0. 8x2 By 0<<2, 0< y < 2, subject to the following conditions u(0,y) 0, u(2x, y) = 0, u(2,0) 0, u(x,2x) = π. Use the method of separation of variables to determine the general solution of this equation.

QUESTION 5 2) Use the D'Alembert solution method to solve the wave equation 1 Pu Pu 36 82 with initial conditions u(x, 0)=sinx, (2, 0) = e. at b) A boundary value problem that represents the potential distribution u(x, y) over a rectangular plate is given by Pu Pu + -0. 8x2 By 0<<2, 0< y < 2, subject to the following conditions u(0,y) 0, u(2x, y) = 0, u(2,0) 0, u(x,2x) = π. Use the method of separation of variables to determine the general solution of this equation.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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QUESTION 5 2) Use the D'Alembert solution method to solve the wave equation 1 Pu Pu 36 82 with initial conditions u(x, 0)=sinx, (2, 0) = e. at b) A boundary value problem that represents the potential distribution u(x, y) over a rectangular plate is given by Pu Pu + -0. 8x2 By 0<<2, 0< y < 2, subject to the following conditions u(0,y) 0, u(2x, y) = 0, u(2,0) 0, u(x,2x) = π. Use the method of separation of variables to determine the general solution of this equation.
Transcribed Image Text:QUESTION 5 2) Use the D'Alembert solution method to solve the wave equation 1 Pu Pu 36 82 with initial conditions u(x, 0)=sinx, (2, 0) = e. at b) A boundary value problem that represents the potential distribution u(x, y) over a rectangular plate is given by Pu Pu + -0. 8x2 By 0<<2, 0< y < 2, subject to the following conditions u(0,y) 0, u(2x, y) = 0, u(2,0) 0, u(x,2x) = π. Use the method of separation of variables to determine the general solution of this equation.
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