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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)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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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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