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answer. (7 points) A linecar time-invariant system with input f(t) and output y(t) is represented bythe ordinary different ial \ddot{y}+5 \dot{y}+6 y=6 f Determine the impulse response representation of the system. 3. (8 points) Figure 1 shows the block diagram of a LTI system with input S(1) and outputy(1). Each block represents a LTI system, and the impulse responsesystems arerightsepresentations of these h_{1}(t)-2 \delta(t, 2) h_{2}(t)-2 \delta(t-5) h_{3}(t)-\sin (t) e^{-t} u(t) Using the properties of convolution, determine the impulse response h(t) describing the overallsystem y(t)-f(t) * h(t)

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