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(6) Consider the differential equation: y" – 6y' + 9y = f(x) a) Find the solution to the homogeneous problem, f(x) = 0. b) Find the general solution when f(x) = e2". c) Find the general solution when f(x) = e3æ d) Find the general solution when f(x) = xe3 (???)

(6) Consider the differential equation: y" – 6y' + 9y = f(x) a) Find the solution to the homogeneous problem, f(x) = 0. b) Find the general solution when f(x) = e2". c) Find the general solution when f(x) = e3æ d) Find the general solution when f(x) = xe3 (???)

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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(6) Consider the differential equation: y" – 6y' + 9y = f(x) a) Find the solution to the homogeneous problem, f(x) = 0. b) Find the general solution when f(x) = e2x. c) Find the general solution when f(x) = e3x d) Find the general solution when f(x) = xe3 (???)
Transcribed Image Text:(6) Consider the differential equation: y" – 6y' + 9y = f(x) a) Find the solution to the homogeneous problem, f(x) = 0. b) Find the general solution when f(x) = e2x. c) Find the general solution when f(x) = e3x d) Find the general solution when f(x) = xe3 (???)
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