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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 31E
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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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