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 Differential Equations Ordinary and Partial Differential Equations Math Forum

 May 4th, 2016, 08:42 AM #1 Newbie   Joined: May 2016 From: india Posts: 3 Thanks: 0 ordinary diff. eq. solve the differential equation : dy-dx = 2xydy
 May 4th, 2016, 09:14 AM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,689 Thanks: 2669 Math Focus: Mainly analysis and algebra What happens if you write $v=xy$?
 May 4th, 2016, 09:22 AM #3 Global Moderator   Joined: Dec 2006 Posts: 21,019 Thanks: 2254 Use $e^{\text{y}^2}\!\!$ as an integrating factor.
May 4th, 2016, 09:56 AM   #4
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Quote:
 Originally Posted by v8archie What happens if you write $v=xy$?
please can you actually solve it so that i could easily understand?

 May 4th, 2016, 03:10 PM #5 Senior Member   Joined: Dec 2015 From: somewhere Posts: 712 Thanks: 96 Solution can be approximated there is no exact solution as i can see
 May 4th, 2016, 05:06 PM #6 Global Moderator   Joined: Dec 2006 Posts: 21,019 Thanks: 2254 Given $dy = 2xydy + dx$, multiplying by $e^{y^2}\!\!$ gives $e^{y^2}dy = 2xye^{y^2}dy + e^{y^2}dx = d\!\left(\!xe^{y^2}\!\right)\!$, etc. Thanks from v8archie

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