Question: Problem 2.2. Consider the two differentials (1) du = (2xy + x)dx + xdy and (2) duzy(x-2y)dx-xdy. For both differentials, find the change in u(x,

Problem 2.2. Consider the two differentials (1) du = (2xy + x)dx + xdy and (2) duzy(x-2y)dx-xdy. For both differentials, find the change in u(x, y) between two points,

(a,

b) and (x, y). Compute the change in two different ways:

(a) Integrate along the path (a,b)(x,b)(x,y), and

(b) integrate along the path

(a,

b) (a,y) (x, y). Discuss the meaning of your results. >>

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