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Given the second order differential equation that models the motion of a harmonic answer the following. x" + 6x + 9x = 0 a) write the equation as a linear system b) find the eigenvalues and eigenvectors c) write the general solution d) solve the initial value when x' (0) = 1, x(0) = 2 Your correct answer should include all your work

Given the second order differential equation that models the motion of a harmonic answer the following. x" + 6x + 9x = 0 a) write the equation as a linear system b) find the eigenvalues and eigenvectors c) write the general solution d) solve the initial value when x' (0) = 1, x(0) = 2 Your correct answer should include all your work

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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Given the second order differential equation that models the motion of a harmonic oscillator answer the following. x" + 6x + 9x = 0 a) write the equation as a linear system b) find the eigenvalues and eigenvectors c) write the general solution d) solve the initial value when x' (0) = 1, x(0) = 2 Your correct answer should include all your work
Transcribed Image Text:Given the second order differential equation that models the motion of a harmonic oscillator answer the following. x" + 6x + 9x = 0 a) write the equation as a linear system b) find the eigenvalues and eigenvectors c) write the general solution d) solve the initial value when x' (0) = 1, x(0) = 2 Your correct answer should include all your work
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