GATE Electronics and Communications (EC) 2015 Shift 2 Solved Paper

Question : 55 of 65

Marks: +1, -0

Let

x (t) \: = α s (t) \: + \:s (−t)

with

s (t) \: = β e^{−4t}u (t)

, where u(t) is unit step function. If the bilateral Laplace transform of x(t) is

X (s) = \;{16}/{s^{2}−16};−4 < Re \{s\} < 4

.Then the value of β is __________.

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