Question

(a) Find the value of ω for which we can observe resonance in the solution of...

(a) Find the value of ω for which we can observe resonance in the solution of the following IVP

19x + 25 x  =  cos(ωt)
(b) The equation of motion for x(t) is given by the following equation
d 2x
dt2
  + 34 
dx
dt
+ 289x  =  0

Determine whether the system is overdamped, critically damped, or underdamped.

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