For a system with transfer function 2s + 3 H(s) = s2 + 2s + 5...

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For a system with transfer function 2s + 3 H(s) = s2 + 2s + 5 a) For this system write the differential equation relating the output y(t) to the input x(t) b) Find the zero-state response for input x(t) of (i) 10u(t) and (ii) u(t - 5), respectively. For a system with transfer function 2s + 3 H(s) = s2 + 2s + 5 a) For this system write the differential equation relating the output y(t) to the input x(t) b) Find the zero-state response for input x(t) of (i) 10u(t) and (ii) u(t - 5), respectively.