Given the differential equation dæ? + y = e-bª sin(æ) Propose an appropriate particular solution. Yp A cos x + B sin x + Ce-5x Yp Axe-5" (B cos x + C sin x) Yp Ae-5a (cos x + sin æ) -5x (A cos x + B sin x) = e Yp

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Given the differential equation
dx2
+ y = e-ba sin(x)
Propose an appropriate particular solution.
Yp = A cos x + B sin x + Ce-5x
Yp
Axe-5 (B cos x + C sin x)
Yp
= Ae-bæ (cos x + sin x)
-5x
Yp
(A cos x + Bsin x)
= e
Transcribed Image Text:Given the differential equation dx2 + y = e-ba sin(x) Propose an appropriate particular solution. Yp = A cos x + B sin x + Ce-5x Yp Axe-5 (B cos x + C sin x) Yp = Ae-bæ (cos x + sin x) -5x Yp (A cos x + Bsin x) = e
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