Section 2.4 In Exercises 1 and 2, we consider the system da = 2x + 2y dt dy = x + 3y. dt 3. Consider the partially decoupled system dx (a) Derive the general solution. = 2x – 8y? dt (b) Find the equilibrium points of the system. dy = -3y. dt (c) Find the solution that satisfies the initial condition (xo, yo) = (0, 1).

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