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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following IVP: y"- y = 4cos t; y(0) = 0, y'(0) = 1 Find the general solution.
Consider the following IVP:
у"-у -4сos t; y(0) 3 0, у'(0) — 1
Find the general solution.
A
y (t) = 2cos t + sinh t- 2cosh t
B
y(t) = 2cosh t + sinh t- 2cos t
y(t) = 2sinh t + cosh t– 2cos t
D
y(t) = 2cosh t + sinh t- 2sin t
Transcribed Image Text:Consider the following IVP: у"-у -4сos t; y(0) 3 0, у'(0) — 1 Find the general solution. A y (t) = 2cos t + sinh t- 2cosh t B y(t) = 2cosh t + sinh t- 2cos t y(t) = 2sinh t + cosh t– 2cos t D y(t) = 2cosh t + sinh t- 2sin t
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