Question: Consider the initial value problem ay + by + cy=f(t), y(0)=y(0)=0, t>0 Suppose that an input f(t)=t, when applied to the above system produces

Consider the initial value problem ay" + by + cy=f(t), y(0)=y(0)=0, t>0

Consider the initial value problem ay" + by + cy=f(t), y(0)=y(0)=0, t>0 Suppose that an input f(t)=t, when applied to the above system produces the output y(t) = 2(et-1)+t(et+1), 120. (a) What is the system transfer function? (b) What will be the output if the Heaviside unit step function f(t)=h(t) is applied to the system?

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