If the step response of a causal, linear time-invariant system is a(t), then the response of the system to a general input x(t) would be

A) $$\int\limits_{{0^ + }}^t {\frac{{da\left( \tau \right)}}{{d\tau }}x\left( {t - \tau } \right)d\tau } $$ B) $$a\left( 0 \right)x\left( t \right) + \int\limits_{{0^ + }}^t {\frac{{da\left( \tau \right)}}{{d\tau }}x\left( {t - \tau } \right)d\tau } $$ C) $$x\left( 0 \right)a\left( t \right) + \int\limits_{{0^ + }}^t {x\left( \tau \right)a\left( {t - \tau } \right)d\tau } $$ D) $$x\left( 0 \right)a\left( t \right) + \int\limits_{{0^ + }}^t {\frac{{da\left( \tau \right)}}{{d\tau }}x\left( {t - \tau } \right)d\tau } $$

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Correct Answer: Option A

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If the step response of a causal linear time-invariant system is...

If the step response of a causal, linear time-invariant system is a(t), then the response of the system to a general input x(t) would be

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