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y" + 3y' + 2y = 12x²; y(0) = a, y'(0) = b

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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Consider the following IVP: y" + 3y' + 2y = 12x²; y(0) = a, y'(0) =b Find the solution. у (х) 3D с -2x + -X+ 3x2– 18x+21 y (x) = c e + c,e -2x + 6x² – 18x +21 B + 6x³ – 18x²+ 2 X- y(x) = c,e + c,e D у (х) %3D + 2x2 – 6x +4 +
Transcribed Image Text:Consider the following IVP: y" + 3y' + 2y = 12x²; y(0) = a, y'(0) =b Find the solution. у (х) 3D с -2x + -X+ 3x2– 18x+21 y (x) = c e + c,e -2x + 6x² – 18x +21 B + 6x³ – 18x²+ 2 X- y(x) = c,e + c,e D у (х) %3D + 2x2 – 6x +4 +
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