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

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

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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Question 1 Consider the following IVP: y"- y = 4cos t; y(0) = 0, y'(0) = 1 Find the general solution. A у (1) = 2sinh t + cosh t- 2cos t В y(t) = 2cos t + sinh t- 2cosh t (c) y(t) = 2cosh t + sinh t- 2cos t C D у (1) = 2cosh t + sinh t- 2sin t
Transcribed Image Text:Question 1 Consider the following IVP: y"- y = 4cos t; y(0) = 0, y'(0) = 1 Find the general solution. A у (1) = 2sinh t + cosh t- 2cos t В y(t) = 2cos t + sinh t- 2cosh t (c) y(t) = 2cosh t + sinh t- 2cos t C D у (1) = 2cosh t + sinh t- 2sin t
Consider the IVP: x" + x = 4et ; x(0) = 1, x'(0) = 3. %3D Find the general solution. A x(t) = 2e+ sin2t – cost В x(t) 2e'+ cost – sint x(t) = e'+sinht – cost D x(t) = 2e'+ sint – cost
Transcribed Image Text:Consider the IVP: x" + x = 4et ; x(0) = 1, x'(0) = 3. %3D Find the general solution. A x(t) = 2e+ sin2t – cost В x(t) 2e'+ cost – sint x(t) = e'+sinht – cost D x(t) = 2e'+ sint – cost
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