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Using Variation of Parameters method solve the 2nd-order linear non-homogeneous DE, 4 y" +24y' + 128y = 1+c8 The complimentary solution of the equation is ye(x) = c1e^(-16x)+c2e^(-8x) where candc₂ are arbitrary constants. A particular solution of the equation is -1/2e^(-8x)x+1/16e^(-8x) The general solution of the non-homogeneus equation is y (x) = [0]

Using Variation of Parameters method solve the 2nd-order linear non-homogeneous DE, 4 y" +24y' + 128y = 1+c8 The complimentary solution of the equation is ye(x) = c1e^(-16x)+c2e^(-8x) where candc₂ are arbitrary constants. A particular solution of the equation is -1/2e^(-8x)x+1/16e^(-8x) The general solution of the non-homogeneus equation is y (x) = [0]

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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Using Variation of Parameters method solve the 2nd-order linear non-homogeneous DE, 4 1+c8 y" +24y' + 128y - The complimentary solution of the equation is ye (x) = c1e^(-16x)+c2e^(-8x) where candc₂ are arbitrary constants. A particular solution of the equation is -1/2e^(-8x)x+1/16e^(-8x) The general solution of the non-homogeneus equation is y (x) = [0]
Transcribed Image Text:Using Variation of Parameters method solve the 2nd-order linear non-homogeneous DE, 4 1+c8 y" +24y' + 128y - The complimentary solution of the equation is ye (x) = c1e^(-16x)+c2e^(-8x) where candc₂ are arbitrary constants. A particular solution of the equation is -1/2e^(-8x)x+1/16e^(-8x) The general solution of the non-homogeneus equation is y (x) = [0]
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