Use Variation of Parameters to solve the Initial Value Problem. y" + 6y' + 9y = 3e", y(0) = 3, y'(0) = 3 %3D

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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3) Use Variation of Parameters to solve the Initial Value Problem.
y" + 6y' + 9y = 3e",
y(0) = 3, y'(0) = 3
Transcribed Image Text:3) Use Variation of Parameters to solve the Initial Value Problem. y" + 6y' + 9y = 3e", y(0) = 3, y'(0) = 3
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The given differential equation isy''+6y'+9y=3e3t    ; y0=3, y'0=3We need to solve the above equation by method of variation of parameters.The solution will be yt= yc+ypwhere yc is complementary solution and yp is particular integral

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