A continuous-time system is characterized by the ordinary differential equation This equation is discretized by approximating the

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A continuous-time system is characterized by the ordinary differential equation

dx(t) dy(t) +y(t) = 2x(t) + dt dt

This equation is discretized by approximating the derivatives for a signal ρ(t) as

dp(t) p(пТ + T) — р(пT) dt

around t = nT, and for a small value of T. Obtain a block diagram that represents the obtained difference equation from the differential equation, with input x(nT) and output y(nT) and T = 1.

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