5. P3.19 of Dorf and BishopConsider the system described by10-[23]-2 -3x(t) =x(t)where_x(t)=(x₁(t)x₂ (t))ª .(a) Compute the state transition matrix (t).(b) Using the state transition matrix from (a) and for the initialconditions x₁(0)=1 and x₂(0)=-1, find the solution x(t) for t≥0.

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Answered: Consider the system described by 0…

Advanced Engineering Mathematics

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ISBN:9780470458365

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Chapter2: Second-order Linear Odes

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Consider the system described by 0 -=[-2₁2 x(t) = -2 -3 x(t) where x(t)=(x₁ (1)x₂ (t))". (a) Compute the state transition matrix Þ(t). (b) Using the state transition matrix from (a) and for the initial conditions x₁(0)=1 and x₂(0)=-1, find the solution x(t) for t≥0.