Find the impulse responses of the systems described by these equations.
(a) y?(t) + 5y (t) = x (t)
(b) y?(t) + 6 y?(t) + 4y (t) = x (t)
(c) 2 y?(t) + 3y (t) = x?(t)
(d) 4 y?(t) + 9y (t) = 2x (t) + x?(t)
h (t) = ? (1/16) e ?9t/4 u (t) + (1/4) ? (t) ,
h (t) = ? (3/4) e ?3t/2 u (t) + (1/2) ? (t) ,
h (t) = e ?5t u (t) ,
h (t) = 0.2237 ( e ?0.76t ? e ?5.23t ) u (t)
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