An undamped mass spring system is modeled by the differential equation y" + 100y = 0 a) Convert the above differential equation into a system of first order differential equation. b) If initial displacement and velocity are given as y(0) = 0.05 and y'(0) = 0, find the solution using matrix diagonalization method.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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Test time le 2.18 33
An undamped mass spring system is modeled by the differential equation
y" + 100y = 0
a) Convert the above differential equation into a system of first order differential equation.
b) If initial displacement and velocity are given as y(0) = 0.05 and y (0) = 0, find the solution
using matrix diagonalization method.
Transcribed Image Text:Upload answer sheets Test time le 2.18 33 An undamped mass spring system is modeled by the differential equation y" + 100y = 0 a) Convert the above differential equation into a system of first order differential equation. b) If initial displacement and velocity are given as y(0) = 0.05 and y (0) = 0, find the solution using matrix diagonalization method.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,