Question 2.7d. Consider the linear system of differential equations Select the particular solution satisfying x(0) = 0 and y(0) = 1. [x(0)] = e^ [²¹₁] + e³ [8] - [2(0)]=e₁[¹₁] + e-³¹[1] et -3t H [x(t)] = 1.5e-2t H 0.5e²t [x(t)] [y(t). = +e-²H] -² [1] + ¹ e ² [1] [x()] = 2e 3 -2t [¹] +1.5e²t [1] 1 x = 4x - 6y y = 2x - 4y

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