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Input x(t) and output y(t) of an LTI system are related by the differential equation y″″(t) − y″(t) − 6y(t) = x(t). If the system is neither causal nor stable, the impulse response h(t) of the system is
A
15e3tu(−t) + 15e−2tu(−t)
B
15e3tu(−t) + 15e−2tu(−t)
C
15e3tu(−t) − 15e−2tu(t)
D
15e3tu(−t) − 15e−2tu(t)

Correct : c

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