Question 16 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) = 2cosh t + sinh t- 2cos t y(t) = 2cosh t + sinh t- 2sin t Dy(t) = 2cos t + sinh t- 2cosh t

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 16
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(1) = 2cosh t + sinh t- 2cos t
y(1) = 2cosh t + sinh t- 2sin t
D)
y(t) = 2cos t + sinh t- 2cosh t
Transcribed Image Text:Question 16 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(1) = 2cosh t + sinh t- 2cos t y(1) = 2cosh t + sinh t- 2sin t D) y(t) = 2cos t + sinh t- 2cosh t
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