Writing x₁ = y and x₂ = dy/dr express the differential equation d²y + 2 d x+y=0 in the vector-matrix form = A.x, x= [x₁ x₂]¹. Obtain the transition matrix and hence solve the differential equation given that y = dy/dt = 1 when t = 0. Confirm your answer by direct solution of the second-order differential equation.

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