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March 10th, 2011, 01:59 PM  #21 
Senior Member Joined: Feb 2011 Posts: 150 Thanks: 0  Re: Exact form, differential equations
oh yes, i multiplied x by the original equation , i dont know why! integrating, xy=ln(x)+A y= (ln(x)+A) / x 
March 10th, 2011, 02:07 PM  #22 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Exact form, differential equations
While there is nothing wrong with the solution as you gave it, you can write in in a simpler form: Since A is an arbitrary constant, we may write it as ln(A): I checked this equation on the computer, and it gives the solution in the form you gave. 
March 10th, 2011, 02:14 PM  #23 
Senior Member Joined: Feb 2011 Posts: 150 Thanks: 0  Re: Exact form, differential equations
Ah interesting stuff, useful to know. Thats me done for tonight, thanks again for your help 
March 10th, 2011, 02:17 PM  #24 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Exact form, differential equations
Anytime! 

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