Problem 1:

1.(a) 

o Analysis: For t other than zero output applies, since y(t) depends on present value of x(t) but with no regard of any prior of succeeding values of x(t).(b)

o Analysis: It appears the output is dependent of all values of x(t) in the past as seen in the function j where integration is done from minus infinity to t.

Conclusion: The system is dynamic (with memory).(c)

Analysis: The term that carries further components of time, that is (d/dt (x(t - 2)))

Conclusion: The system is dynamic (with memory).Conclusion: The system is memoryless.Conclusion: The system is dynamic (with memory).2.3.4.