Question: Consider the differential-equation system dx y = dt' dy = 2y + 8.x. dt (a) Find the general solution for the above equations. dy (b)

Consider the differential-equation system dx y = dt' dy = 2y + 8.x. dt (a) Find the general solution for the above equations. dy (b) Let y(0) = -7 and = 27. Find the exact formula and draw y(t). dt t= 0 (c) Calculate lim x(t) - x(1) using the initial conditions in part b). 1-+00

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