Solve the following non-homogeneous differential equations: 1) x"(t) + x(t) = 2 cost

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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Solve the following non-homogeneous differential equations:
x" (t) + x(t) = 2 cos t
1)
2) y"+2y'+y = xe¯
3) x²y"-2xy +2y = x lnx (Hint: by change of variable, let x=e¹)
Transcribed Image Text:Solve the following non-homogeneous differential equations: x" (t) + x(t) = 2 cos t 1) 2) y"+2y'+y = xe¯ 3) x²y"-2xy +2y = x lnx (Hint: by change of variable, let x=e¹)
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