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March 10th, 2011, 01:59 PM   #21
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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
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March 10th, 2011, 02:07 PM   #22
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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.
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March 10th, 2011, 02:14 PM   #23
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Re: Exact form, differential equations

Ah interesting stuff, useful to know.

Thats me done for tonight, thanks again for your help
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March 10th, 2011, 02:17 PM   #24
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Re: Exact form, differential equations

Anytime!
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