Question: Given that a system is a gradient system, heres how to find its potential function V . Suppose that x = f(x, y),y = g(x,

Given that a system is a gradient system, heres how to find its potential function V . Suppose that x = f(x, y),y = g(x, y). Then x=V implies f(x, y)=V/x and g(x, y)=V/y. These two equations may be partially integrated to find V . Use this procedure to find V for the following gradient systems. 1(a)x = y 2+ y cos x,y =2xy + sin x (b)x =3x 21 e 2y ,y =2xe2y

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