Problem 2.2. Consider the two differentials (1) du = (2xy + x)dx + xdy and (2) duzy(x-2y)dx-xdy.
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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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