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Let x[n]=u[n] and y[n]=(10.9n)u[n] where u[n] is the unit step function. (a) Write an appropriate difference equation. Note here that one may find multiple solutions.

Let x[n]=u[n] and y[n]=(10.9n)u[n] where u[n] is the unit step function. (a) Write an appropriate difference equation. Note here that one may find multiple solutions. We are interested in one type: one of the form: ay[n]+by[n1]=cx[n]+dx[n1]. Find such constants and prove the identity (maybe through induction?) (b) Draw a block diagram of the system

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