y' + 48y = e 5x sin x 5x differential operator that will annihilate the nonhomogeneity sin x.
y' + 48y = e 5x sin x 5x differential operator that will annihilate the nonhomogeneity sin x.
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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Question

Transcribed Image Text:Use the annihilator method to determine the form of a particular solution for the given equation.
5x
y"+ 14y' + 48y = eX - sin x
5x
Find a differential operator that will annihilate the nonhomogeneity e* - sin x.
(Type the lowest-order annihilator that contains the minimum number of terms. Type your answer in factored or expanded form.)
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