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Consider the driven damped harmonic oscillator m(d^2x/dt^2)+b(dx/dt)+kx = F(t) with driving force F(t) = FoSin(wt). Consider...

Consider the driven damped harmonic oscillator

m(d^2x/dt^2)+b(dx/dt)+kx = F(t)

with driving force F(t) = FoSin(wt).
Consider the overdamped case

(b/2m)^2 < k/m

a. Find the steady state solution.

b. Find the solution with initial conditions x(0)=0, x'(0)=0.

c. Use a plotting program to plot your solution for m=1, k=0.1, b=1, Fo=0.25, and w=0.5.

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