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problem: A damped vibration experiment is modeled by the following initial value √y" + 6y' + 13y = 0, [y(0) = 4, y'(0) -4. == Solve the above initial value problem and express its solution in the form of Aeat cos(bt – ), where A> 0 and - < ≤T. Identify A, a, b and p.

problem: A damped vibration experiment is modeled by the following initial value √y" + 6y' + 13y = 0, [y(0) = 4, y'(0) -4. == Solve the above initial value problem and express its solution in the form of Aeat cos(bt – ), where A> 0 and - < ≤T. Identify A, a, b and p.

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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this is a differential equations problem

problem: A damped vibration experiment is modeled by the following initial value [y" + 6y' + 13y = 0, [y(0) = 4, _y'(0) = −4. Solve the above initial value problem and express its solution in the form of Aeat cos(bt - ), where A> 0 and - < <. Identify A, a, b and p.
Transcribed Image Text:problem: A damped vibration experiment is modeled by the following initial value [y" + 6y' + 13y = 0, [y(0) = 4, _y'(0) = −4. Solve the above initial value problem and express its solution in the form of Aeat cos(bt - ), where A> 0 and - < <. Identify A, a, b and p.
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