Formulate the general solution for oscillator

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Compute the right solution of the following question

Question- Consider a 1-D linear damped oscillator described by the conventional differential equation: d2x/dt2 + 2B(dx/dt) + wo2x = 0.

Part 1- If this oscillator is driven by a step function given by F(t)/m = a for t>0, show that the general solution for this oscillator is x(t) = (a/wo2)(1 - e-Btcos(w1t) - (Be-Bt/w1)sin(w1t)) for t>0. The oscillator was at rest in its equilibrium position before the driving force hit.

I want help to formulate the general solution for oscillator.

Reference no: EM13722751

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