Problem 1: Given a I.TI system described by the differential equation: dy dy where the initial conditions y(o)-1, 0) Find/Compute the following a) The transfer function of the system b) The overall system output for unit impulse input signal r(t)s ?(t) c) The output due to initial conditions and the output due to the input. d) The transient and steady state output response. e) Validate both the Initial Value Theorem and Final Value Theorem. 1) Find the Diagonal canonical state space representation for the system g) Draw the block diagram and signal flow graph h) Apply Mason gain formula to get the transfer function from the signal flow graph.
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