(Solved): Find and sketch the zero-input response for the systems described by the following equations: (a) \ ...

Find and sketch the zero-input response for the systems described by the following equations: (a) \( y[n+1]-0.8 y[n]=3 x[n+1] \) (b) \( y[n+1]+0.8 y[n]=3 x[n+1] \) In each case the initial condition is \( y[-1]=10 \). Verify the solutions by computing the first three terms using the iterative method.