Suggest the damped harmonic oscillator


Suggest the damped harmonic oscillator, given by

x'' + 2x'+ 9 x = 0 . Rewrite as a system of two first order ODEs

Find all fixed points of the system

Give the eigenvalues of the coefficient matrix

For each eigenvalue, give an eigenvector

Use the eigenvalues to characterize the fixed point

Use Euler's formula to write the general solution in terms of damped oscillations.

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Basic Statistics: Suggest the damped harmonic oscillator
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