1. Determine the equilibrium points of the following systems of differential equations (i) x = 3x1...

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1. Determine the equilibrium points of the following systems of differential equations (i) x = 3x1 + x2 x2 = x1 + 3x2 - (ii) x = x = x x2 = x- x2 (iii) x = x(3- x1 - x2) x2 = x2(x1 - 1) (iv) x14x110x2 = x2 = 2x1+5x2 (v) The Lorenz equations x = (y-x) y = x(p-2) - y = xy - z (v) ((p 1), (p 1), p 1), (0,0,0) - 1. Determine the equilibrium points of the following systems of differential equations (i) x = 3x1 + x2 x2 = x1 + 3x2 - (ii) x = x = x x2 = x- x2 (iii) x = x(3- x1 - x2) x2 = x2(x1 - 1) (iv) x14x110x2 = x2 = 2x1+5x2 (v) The Lorenz equations x = (y-x) y = x(p-2) - y = xy - z (v) ((p 1), (p 1), p 1), (0,0,0) -