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Consider the following IVP: y"- y = 4cos t; y(0) = 0, y'(0) = 1 Find the general solution. A y (1) = 2cos t + sinh t- 2cosh t B y (1) = 2sinh t + cosh t- 2cos t c y (1) = 2cosh t + sinh t- 2sin t D y(1) = 2cosh t + sinh t- 2cos t

Consider the following IVP: y"- y = 4cos t; y(0) = 0, y'(0) = 1 Find the general solution. A y (1) = 2cos t + sinh t- 2cosh t B y (1) = 2sinh t + cosh t- 2cos t c y (1) = 2cosh t + sinh t- 2sin t D y(1) = 2cosh t + sinh t- 2cos t

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please use the Laplace Transform method in solving this problem

Consider the following IVP: y"- y = 4cos t; y(0) = 0, y'(0) = 1 Find the general solution. A y (1) = 2cos t + sinh t- 2cosh t B y (1) = 2sinh t + cosh t- 2cos t c y (1) = 2cosh t + sinh t- 2sin t D y(1) = 2cosh t + sinh t- 2cos t
Transcribed Image Text:Consider the following IVP: y"- y = 4cos t; y(0) = 0, y'(0) = 1 Find the general solution. A y (1) = 2cos t + sinh t- 2cosh t B y (1) = 2sinh t + cosh t- 2cos t c y (1) = 2cosh t + sinh t- 2sin t D y(1) = 2cosh t + sinh t- 2cos t
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