May 24th, 2013, 01:37 PM  #1 
Senior Member Joined: Jul 2012 Posts: 225 Thanks: 0  Find the potential function
Hi, here is the question and the solution, but there is something i did not understand, i'd like someone to explain to me. We are given the conservative vector field Find the potential function of the vector field. Solution: Where did C'(y) go??? Why?? 
May 25th, 2013, 02:17 PM  #2  
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: Find the potential function Quote:
Here, we must have and Quote:
The first is just while the second can be done integrating "by parts": let u= x, . The du= dx, and so the integral is equal to . Combining those, the integral, with respect to x, is . Plus a constant of integration, of course, but, here, since we were treating y as a constant, that "constant of integration" may be an arbitrary function of y: , just as your solution has. Quote:
Quote:
 
May 25th, 2013, 03:59 PM  #3 
Senior Member Joined: Jul 2012 Posts: 225 Thanks: 0  Re: Find the potential function
Got it, thanks again HallsofIvy 

Tags 
find, function, potential 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Which potential function does this algorithm minimize ?  ShNaYkHs  Computer Science  0  November 26th, 2013 02:26 PM 
A practice problem for potential Olympiad students  Turk  Math Events  1  September 20th, 2012 03:09 AM 
Potential quotes of the year  MarkFL  New Users  16  April 18th, 2011 06:26 AM 
Potential error in textbook  Help!  everettjsj2  Calculus  2  February 27th, 2010 06:14 PM 
Product solution of potential equation on a sector of disk  sony  Calculus  0  January 6th, 2010 11:28 PM 