Question: Please Make Sure The Answer is Correct And Clearly Visible ? (b) A simple mechanical oscilator can be modeled using the second-oeder differential equation d'

Please Make Sure The Answer is Correct And Clearly Visible

(b) A simple mechanical oscilator can be modeled using the second-oeder differential equation d' x dx + 25x = 0, dt2 + H dt where x measures displacement from equilibrium. (a) Rewrite this equation as a linear first-order system by setting x' = y. (b) Sketch phase portraits when (i) M = 8, and (ii) A = 26. (c) Describe the dynamical behavior in each case given that x(0) = 1 and x' (0) = 0

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