(a) Solve the initial boundary value problem by separation of variables : Uu = 9u 0 0, u(0,t) = 0, u(7,t) = 0 u(r,0) = sin(6z), u(x,0) = 0. (b) Without solving. What is the form of a particular solution of the given differential equation y" - 3y + 2y = 2 +1+ cosz +e*.

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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(a) Solve the initial boundary value problem by separation of variables :
Uu = 9u 0<z <T, t> 0,
u(0, t) = 0, u(7, t) = 0
u(2,0) = sin(6z), u(z,0) = 0.
(b) Without solving. What is the form of a particular solution of the given differential equation
y" - 3y + 2y = z* +1+ cos r +e".
Transcribed Image Text:(a) Solve the initial boundary value problem by separation of variables : Uu = 9u 0<z <T, t> 0, u(0, t) = 0, u(7, t) = 0 u(2,0) = sin(6z), u(z,0) = 0. (b) Without solving. What is the form of a particular solution of the given differential equation y" - 3y + 2y = z* +1+ cos r +e".
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