Determine e At by first finding a fundamental matrix X(t) for x' = Ax and then using the formula eAt- ¹=X(t)X(0) A = 5 5 5 10 5 -5 0-5 5 First, find X(t). Choose the correct answer below. O A. X(t)= O c. X(t)= 4 10t 5t cos 5t e sin 5t (1 + 5t)e ¹0t cos 5t 10t 10t e-5t - 5t 10t e 10t sin 5t (1-5t)e 10t cos 5t - te 10t 10t sin 5t e10t e10t (1 + 5t)e 10t (1-5t)e 10t-e10t e 10t OB. X(t) = OD. X(t)= 3 e-5t e-St 3 - 5t e-5t e-St e10t 5te 10t e10t (1-5t)e 10t - e10t e10t 10t 0 (1-5)te (1-5t)e 10t 0 e 10t e10t

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