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Determine the general/particular solution (whichever applies): y"' + 4y' + 4y = ( 3 + x) e −2, when x = 0, y = 2, y'=5 -2x 1 3 x = 2 ² ² ² ² + ( ² ) + + ² } - ² -2x -2x 3 -2x y 2e xe e 2 y = 2e -2x + 9xe -2x + -x+ 3 e -2x y = 26² ²¹ - 30² ² + (1x²-x) = 2 -2r -2x y=2e 3xe 3 2 O ° y = 26²³² + 4x8²³² + (- = x² + x²) x ³² 2x y=2e 4xe2²_ 2r

Determine the general/particular solution (whichever applies): y"' + 4y' + 4y = ( 3 + x) e −2, when x = 0, y = 2, y'=5 -2x 1 3 x = 2 ² ² ² ² + ( ² ) + + ² } - ² -2x -2x 3 -2x y 2e xe e 2 y = 2e -2x + 9xe -2x + -x+ 3 e -2x y = 26² ²¹ - 30² ² + (1x²-x) = 2 -2r -2x y=2e 3xe 3 2 O ° y = 26²³² + 4x8²³² + (- = x² + x²) x ³² 2x y=2e 4xe2²_ 2r

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): y"' + 4y' + 4y = ( 3 + x) e −2, when x = 0, y = 2, y'=5 -2x O y = 2e -2x -2x xe + -2x y = 2e + 9xe -2r y=2e – 3xe -2x + y =2e²+ + 4xe2²_ 3 2 3 -x+ 1 3 -2x e e -2x -2x - ² + ( + x ² – 2 x ) - ²0 e 3 -2r 2r + ( + 1² + 1 x ²) ²
Transcribed Image Text:Determine the general/particular solution (whichever applies): y"' + 4y' + 4y = ( 3 + x) e −2, when x = 0, y = 2, y'=5 -2x O y = 2e -2x -2x xe + -2x y = 2e + 9xe -2r y=2e – 3xe -2x + y =2e²+ + 4xe2²_ 3 2 3 -x+ 1 3 -2x e e -2x -2x - ² + ( + x ² – 2 x ) - ²0 e 3 -2r 2r + ( + 1² + 1 x ²) ²
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