CSE351 – Signals and Systems Homework # 1 Solved

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Problems:

  1. [20 points] Determine whether the below systems are linear or non-linear.
  2. dy/dt + 2y(t) = f2(t)
  3. dy/dt + 3ty(t) = t2f(t)

2.     [40 points]

  1. For the LTIC system with the below system equation, find the zeroinput response (y0(t)) where the initial conditions are y0(0) = 2 and dy0(0) / dt = -1.

 

(D2+5D+6) y(t) = (D+1) f(t).

 

  1. For the LTIC system with the unit impulse response of h(t) = e-t u(t). Find the zero state response of the system y(t) if input is f(t) = u(t).

3.     [40 points]

  1. Find the unit impulse response h[k] of the following system: y[k+1] + 2y[k] = f[k].
  2. Determine the zero-state response of the LTID system with the unit impulse response of h[k] = (-2)k u[k] if the input f[k] = e-k u[k].
  • hw2-tszffc.zip