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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 3 * +(²+²+ + ²) + -2x y=2e -2x - xe y=2e-2x3xe -2x y = 2e + 9xe -2x - ² + ( x ³ + 3 x ³) = ² -2x y=2e²x + 4xe 2x + + -212x₁² xe - + x³ + x²) ²2 2x 4

Determine the general/particular solution (whichever applies): y''+ 4y'+ 4y = (3+x)e-2x, when x = 0, y = 2, y'=5 O 3 * +(²+²+ + ²) + -2x y=2e -2x - xe y=2e-2x3xe -2x y = 2e + 9xe -2x - ² + ( x ³ + 3 x ³) = ² -2x y=2e²x + 4xe 2x + + -212x₁² xe - + x³ + x²) ²2 2x 4

Advanced Engineering Mathematics
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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Determine the general/particular solution (whichever applies): -2r y"'+ 4y' + 4y =(3+x) e −2x, when x = 0, y = 2, y'=5 y = 2e -2r - xe y=2e 3 1 -2x 3 -2r -~- - ( ² - - -) - + e 2 Oy-2²-²-22²-²-(3-¹²¹-1-²-²-2² 3xe + + + xe O y=-26-²³² +9₁-²-- (²-x ² - ² √²) - ² -2x 1 3 9xe -2x x e 2x y=2² +4²¹(x²-x²) ² 2x
Transcribed Image Text:Determine the general/particular solution (whichever applies): -2r y"'+ 4y' + 4y =(3+x) e −2x, when x = 0, y = 2, y'=5 y = 2e -2r - xe y=2e 3 1 -2x 3 -2r -~- - ( ² - - -) - + e 2 Oy-2²-²-22²-²-(3-¹²¹-1-²-²-2² 3xe + + + xe O y=-26-²³² +9₁-²-- (²-x ² - ² √²) - ² -2x 1 3 9xe -2x x e 2x y=2² +4²¹(x²-x²) ² 2x
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