Use the annihilator method to determine the form of a particular solution for the given equation. 5x - sin x y"+ 14y' + 48y = e !3! ..... 5x Find a differential operator that will annihilate the nonhomogeneity e sin x. (D-5) (D + 1) (Type the lowest-order annihilator that contains the minimum number of terms. Type your answer in factored or expanded form.) What is the form of the particular solution? Yp(X) =O
Use the annihilator method to determine the form of a particular solution for the given equation. 5x - sin x y"+ 14y' + 48y = e !3! ..... 5x Find a differential operator that will annihilate the nonhomogeneity e sin x. (D-5) (D + 1) (Type the lowest-order annihilator that contains the minimum number of terms. Type your answer in factored or expanded form.) What is the form of the particular solution? Yp(X) =O
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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Transcribed Image Text:Use the annihilator method to determine the form of a particular solution for the given equation.
5x - sin x
y"+ 14y' + 48y = e
.....
5x
Find a differential operator that will annihilate the nonhomogeneity e
sin x.
(D - 5) (D? +1)
(Type the lowest-order annihilator that contains the minimum number of terms. Type your answer in factored or expanded form.)
What is the form of the particular solution?
Yp(x) =D
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