Find the solution of the given initial value problem: y(4) + 2y""+y" + 8y′ − 12y = 6 sin(t) + 80e¯t; 69 2 77 y (0) = 0, y'(0) 5 y(t) = = y" (0) = 9 5 y" (0) =

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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Find the solution of the given initial value problem:
y(4) + 2y""+y" + 8y′ − 12y = 6 sin(t) + 80e¯t;
69
2
77
y (0) = 0, y'(0)
5
y(t)
=
=
y" (0) =
9
5
y" (0)
=
Transcribed Image Text:Find the solution of the given initial value problem: y(4) + 2y""+y" + 8y′ − 12y = 6 sin(t) + 80e¯t; 69 2 77 y (0) = 0, y'(0) 5 y(t) = = y" (0) = 9 5 y" (0) =
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