Consider the equation for the undamped harmonic oscillator w

Consider the equation for the undamped harmonic oscillator with forcing u\"(t) + k/m u(t) = F0/m cos (wt). Find the general solution of the ODE in (3), if u w not equal to w0, where w0 = squareroot k/m, as before. How does the solution behave as t right arrow infinity? What happens as w right arrow wo? Find the general solution of the ODE in (3), if w = wo, where w0 = squareroot k/m. This is the case of resonance. How does the solution behave as t right arrow infinity?

Solution

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