Question: QUESTION 1 e + 1/24 e3t Find the complete time-domain solution of the following differential equation using Laplace Transforms: d 2x/dt 2 + 5dx/dt +

QUESTION 1 e + 1/24 e3t Find the complete time-domain solution of the following differential equation using Laplace Transforms: d 2x/dt 2 + 5dx/dt + 6x = 3 , x(0) =x?(O)=0 The solution is: x(t) = -1/8 e-t + 1/12 e -30 x(t)= 12 + e-3t-3/2 e 2t x(t) = -1/4 e-2t + 1/20 e2t + 1/5 e-3t x(t)= -1/3 e-5t + 1/3 e 2t x(t)= 1/8 + 1/2e e-3t -5/2 e 2t = e
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