Control Systems
A linear time invariant system has an impulse response e2t for t > 0 . If initial condition are 0 and input is e3t, the output for t > 0 is

  e5t.
  e3t - e2t.
  e2t + e3t.
  e2t - e3t.

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Control Systems
When deriving the transfer function of linear element

 initial conditions are taken into account but the element is assumed to be not loaded.
 initial conditions are assumed to be zero but loading is taken into account.
 initial conditions are assumed to be zero and the element is assumed to be not loaded.
 both initial conditions and loading are taken into account.

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