Real Eigenvalues: Example2

Example: Consider a harmonic oscillator for which the differential equation is

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suppose that mass m=1, the damping constant tex2html_wrap_inline95, and the spring constant tex2html_wrap_inline97. Rewrite this equation as a linear system of differential equations. Solve it, then find the particular solution which satisfies the initial conditions

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Solution:

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Author: Mohamed Amine Khamsi

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