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The function f (t ) satisfies the differential equation d2f/dt2 + f = 0 and the auxiliary conditions, f(0) = 0, df/dt(0) = 4. The Laplace transform of f (t) is given by
Options:
A .  2/(s + 1)
B .  4/(s + 1)
C .  4/(s2 + 1)
D .  2/(s4 + 1)
Answer: Option C


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