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CSE351-Homework 1 Solved

CSE 351 – Signals and Systems

Homework # 1

Problems:

1.  Determine whether the below systems are linear or non-linear.

a.    dy/dt + 2y(t) = f2(t)

b.    dy/dt + 3ty(t) = t2f(t)  

2. 
a.    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).  

 

b.    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.

a.    Find the unit impulse response h[k] of the following system: y[k+1] + 2y[k] = f[k].

b.    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].  

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