Author Topic: Section 1.6.2, Question 19.  (Read 104 times)

smarques

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Section 1.6.2, Question 19.
« on: October 06, 2020, 05:15:01 PM »
The question is:
Suppose that ∫(Pdx+Qdy)=0 holds for each closed curve γ in D. Show that Pdx+Qdy is an exact differential.

I have tried following the hint but keep getting dH/dx = P(x,y) - P(x0,y0).
Any help would be appreciated!
« Last Edit: October 06, 2020, 05:16:38 PM by smarques »