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Consider the following IVP: y" + 3y' + 2y = 12x²; y(0) = a, y'(0) = b

Consider the following IVP: y" + 3y' + 2y = 12x²; y(0) = a, y'(0) = b

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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Please use the Laplace Transform method in solving this problem

Consider the following IVP: y" + 3y' + 2y = 12x2; y(0) = a, y'(0) = b Find the solution. y (x) = c,e* + c,e -2°+ 6x² – 18x +2i B B y(x) = c,e + cze° + 6x³ – 18x²+2 y(x) = c,e-* + c,e-2" + 2x²– 6x + 4 -3x D y (x) = c,e-2 + c,e¯*+3x² – 18x+21
Transcribed Image Text:Consider the following IVP: y" + 3y' + 2y = 12x2; y(0) = a, y'(0) = b Find the solution. y (x) = c,e* + c,e -2°+ 6x² – 18x +2i B B y(x) = c,e + cze° + 6x³ – 18x²+2 y(x) = c,e-* + c,e-2" + 2x²– 6x + 4 -3x D y (x) = c,e-2 + c,e¯*+3x² – 18x+21
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