Find a fundamental matrix of the following system, and then apply x(t) = Þ(t)Þ(0)¯¯ 1x to find a solution satisfying the initial conditions. x' = -5 -2 |x, x(0)= 25 5 1 - 5t 5e A. (t)= - 5t -2e -2e5t - 5t 5e B. (t): 2 cos 5t - 2 sin 5t - 5 cos 5t + 5 sin 5t 5 cos 5t + 5 sin 5t O © C. (t)= 5 cos 5t 2 sin 5t - 2 cos 5t 2 sin 5t + 5 cos 5t - 5 sin 5t 5+2t O D. (t) = 1-2e-5t 1+2t -5-2e5t Find a solution satisfying the given initial condition. x(t) = ☐ (Use integers or fractions for any numbers in the expression.) ...

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