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In regards to finding the unit impulse response of a system. We assume that [itex]x(t) = \delta (t)[/itex] and that the intials conditions at [itex]t=0^_[/itex] are all zero. The impulse response [itex]h(t)[/itex] therefore must consists of the systems's modes for when [itex]t \geq 0^+[/itex]. But why is it that [itex]h(t) = A \delta(t) + \text{modes}[/itex] for [itex]t \geq 0[/itex]?

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# Input Matching

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