Final answer:
The output of the LTI system with the given transfer function H(jω) for the input x(t) can be found by applying the transfer function to the Laplace transform of x(t) and then finding the inverse Laplace Transform.
Step-by-step explanation:
The question is related to finding the output of a linear time invariant (LTI) system with a given transfer function when the input is x(t) = te^(-t)u(t).
This involves applying the transfer function H(jω) = (jω + 1)(jω + 3)/(jω + 2) to the Laplace transform of the input signal, followed by finding the inverse Laplace transform to get the output y(t). The solution requires knowledge of control systems and signals and systems, which are subjects in the field of electrical engineering.