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April 9th, 2011, 08:58 AM   #1
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Find scalar field of a given Gradient

I am working thru 'Div Grad Curl and all that' by Schey. The given gradient is, del of phi(x,y) = y i, where i is the unit vector in x-direction.

The vector field is easy enough to plot. I am trying to find the function of phi(x,y) to overlay on the vector field. I am unable to determine phi(x,y). Is there a solution for phi(x,y) for the given gradient?

The way I see it:

d/dx (phi (x,y)) = y & d/dy (phi(x,y)) = 0

Or am I wrong??
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