Given 2x +16x+40x=0 x=5, vo=4 (IVP-I) [1](a) Find the solution of IVP-I. Show all work to...

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Given 2x "+16x+40x=0 x=5, vo=4 (IVP-I) [1](a) Find the solution of IVP-I. Show all work to justify your answers. [1](b) Circle all appropriate terms describing IVP-II, justify each of your conclusion(s) forced motion, free motion, over-damped, under-damped, critically damped, undamped, damped, beats, resonance, transient solution, steady-periodic solution, traveling waves, standing waves. Given x"+3x+5x=-4cos(5t) x =0, v =0 -(IVP-II) [2](a) Find the solution of IVP-II. Show all work to justify your answers. [2](b) Circle all appropriate terms describing IVP-11, justify each of your conclusion(s) forced motion, free motion, over-damped, under-damped, critically damped, undamped, damped, beats, resonance, transient solution, steady-periodic solution, traveling waves, standing waves. Given 2x "+16x+40x=0 x=5, vo=4 (IVP-I) [1](a) Find the solution of IVP-I. Show all work to justify your answers. [1](b) Circle all appropriate terms describing IVP-II, justify each of your conclusion(s) forced motion, free motion, over-damped, under-damped, critically damped, undamped, damped, beats, resonance, transient solution, steady-periodic solution, traveling waves, standing waves. Given x"+3x+5x=-4cos(5t) x =0, v =0 -(IVP-II) [2](a) Find the solution of IVP-II. Show all work to justify your answers. [2](b) Circle all appropriate terms describing IVP-11, justify each of your conclusion(s) forced motion, free motion, over-damped, under-damped, critically damped, undamped, damped, beats, resonance, transient solution, steady-periodic solution, traveling waves, standing waves.