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3) Consider the equation y"+y' - 6y= g(t). Use the method of undetermined coefficients and find a suitable form for a particular solution y, for the equation where a. g(t) = est-4e-t/² cos(t), b. g(t) = t² - 4, c. g(t) = te²t (DO NOT CALCULATE THE COEFFICIENTS!)

3) Consider the equation y"+y' - 6y= g(t). Use the method of undetermined coefficients and find a suitable form for a particular solution y, for the equation where a. g(t) = est-4e-t/² cos(t), b. g(t) = t² - 4, c. g(t) = te²t (DO NOT CALCULATE THE COEFFICIENTS!)

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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3) Consider the equation y"+y6y= g(t). Use the method of undetermined coefficients and find a suitable form for a particular solution y, for the equation where a. g(t) = est4e-¹/2 cos(t), b. g(t)t²4, c. g(t) = te²t. (DO NOT CALCULATE THE COEFFICIENTS!)
Transcribed Image Text:3) Consider the equation y"+y6y= g(t). Use the method of undetermined coefficients and find a suitable form for a particular solution y, for the equation where a. g(t) = est4e-¹/2 cos(t), b. g(t)t²4, c. g(t) = te²t. (DO NOT CALCULATE THE COEFFICIENTS!)
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