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O y"'+ 4y' + 4y =(3+x) e-2x, when x = 0, y = 2, y'= 5 3 -2x -(1/₁³3 ²+ = -₁ ² 0 - ² O O O y = 2e general -2x -2x + 9xe + y=2e²x + 4xe 2x y=2e-2x = xe + [ - = x ² + 1/{ x² ) ² + -2x -2x y=2e - 3xe 3 - 1/₁²) 0² -2x applies). 1 -2x -2x -² + ( + x ² - - - - - - ²0

O y"'+ 4y' + 4y =(3+x) e-2x, when x = 0, y = 2, y'= 5 3 -2x -(1/₁³3 ²+ = -₁ ² 0 - ² O O O y = 2e general -2x -2x + 9xe + y=2e²x + 4xe 2x y=2e-2x = xe + [ - = x ² + 1/{ x² ) ² + -2x -2x y=2e - 3xe 3 - 1/₁²) 0² -2x applies). 1 -2x -2x -² + ( + x ² - - - - - - ²0

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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Determine the general/particular solution (whichever applies): y''+ 4y' + 4y = (3+x) e −2x, when x = 0, y = 2, y'=5 O O O y = 2e y = 2e - 2x y = 2e 2x y=2e²+ 4xe + -2x + 9xe -2x -2x - xe -2x + -2x - 3xe + 1 1 3 3 3 '+ - 2 2 / +²7) =+=+²) 0² 1 x²-21 3 -2x 2x - 2x -2x
Transcribed Image Text:Determine the general/particular solution (whichever applies): y''+ 4y' + 4y = (3+x) e −2x, when x = 0, y = 2, y'=5 O O O y = 2e y = 2e - 2x y = 2e 2x y=2e²+ 4xe + -2x + 9xe -2x -2x - xe -2x + -2x - 3xe + 1 1 3 3 3 '+ - 2 2 / +²7) =+=+²) 0² 1 x²-21 3 -2x 2x - 2x -2x
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