Determine which of the following systems is linear: (a)y(t) = exp [x(t)] (b) y(t

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Determine which of the following systems is linear: (a)y(t) = exp [x(t)] (b) y(t) = cos X(t) (c) y(t) = t^2 X(t) 7 Determine which of the following systems is linear or nonlinear: y(t) = x2(t) (a) dy/dt + y(t) = x^2(t) (b)(dy/dt)^2 + y(t) = x(t) (c) y(t) = x(lambda) dlambda 1.38 Determine whether the discrete-time system described by y[n] = nX[n] is time-varying. 1.39 Determine whether the following systems are causal or noncausal, memoryless or with memory. (a) y(t) = e^X(t) sin t (b) y(t) = x(tow) tow d tow 1.40) Consider the integrator y(t) = x(lambda)dlambda Check for time-invariance. L Show whether the following systems are time-invariant: (a) y(t) = tx(t) + 5 (b) y[n) = x^2[n)

Explanation / Answer

1.36

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