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Use the Laplace Transform to solve the given initial value problem. y" - 2y' + 2y = cos t; y(0) = 1, y'(0) = 1 y = 5(cost - 2 sint = 4e^tcost + 3e^tsint) O y = 5(cost - 2 sint = 4e^tcost - 3e^tsint) O y = (1/5)(cost - 2 sint = 4e^tcost + 3e^tsint) Oy=(1/5)(cost - 2 sint = 4e^tcost - 3e^tsint)

Use the Laplace Transform to solve the given initial value problem. y" - 2y' + 2y = cos t; y(0) = 1, y'(0) = 1 y = 5(cost - 2 sint = 4e^tcost + 3e^tsint) O y = 5(cost - 2 sint = 4e^tcost - 3e^tsint) O y = (1/5)(cost - 2 sint = 4e^tcost + 3e^tsint) Oy=(1/5)(cost - 2 sint = 4e^tcost - 3e^tsint)

Calculus: Early Transcendentals
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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Use the Laplace Transform to solve the given initial value problem. y" - 2y' + 2y = cos t; y(0) = 1, y'(0) = 1 y = 5(cost - 2 sint = 4e^tcost + 3e^tsint) O y = 5(cost - 2 sint = 4e^tcost - 3e^tsint) O y = (1/5)(cost - 2 sint = 4e^tcost + 3e^tsint) O y = (1/5)(cost - 2 sint = 4e^tcost - 3e^tsint)
Transcribed Image Text:Use the Laplace Transform to solve the given initial value problem. y" - 2y' + 2y = cos t; y(0) = 1, y'(0) = 1 y = 5(cost - 2 sint = 4e^tcost + 3e^tsint) O y = 5(cost - 2 sint = 4e^tcost - 3e^tsint) O y = (1/5)(cost - 2 sint = 4e^tcost + 3e^tsint) O y = (1/5)(cost - 2 sint = 4e^tcost - 3e^tsint)
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