Find the general solution of the following system of linear ODEs: x''1 + 3x'1 + 2x1 + x'2 + x2 = 0 x'1 + 2x1 + x'2 − x2 = 0 and then find the unique solution with initial conditions of x1(0) = 2, x'1 (0) = 0, x2(0) = 1

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Q: (a) Find a second-order homogeneous linear ODE for which the given functions are solutions. (b) Show…

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