(c) The general solution of the linear system of differential equation dx = Ax dt Is x(t) = ced1tv, + + C,ent, Vn ... Where vn represents the eigenvector with associated eigenvalues An. Given the system of differential equations dx1 = x, – 3x2 + 3x3 dt dx2 Зх1 — 5х2 + 3хз %3D dt dx3 бх, — 6х, + 4хз dt (i) Express the system in matrix form. (ii) Find the general solution of the system. (iii)Find a specific solution for the system using the initial values: X1 = 0, x2 = 1 and x3 = 5

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