My Math Forum Solution of these 2 differential equations

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 August 10th, 2017, 02:51 PM #1 Newbie   Joined: Aug 2017 From: Bosnia Posts: 2 Thanks: 0 Solution of these 2 differential equations y'(x)=(2x+3y+1)^2 and x-y*cos(y/x)+xy'*cos(yx)=0 ?
 August 10th, 2017, 03:46 PM #2 Senior Member   Joined: Feb 2016 From: Australia Posts: 1,353 Thanks: 464 Math Focus: Yet to find out. Separately? Or are they coupled? If separately, then the first one is easily identified as the Riccati equation. The second one I'm not so sure. It looks like there could be a substitution of sorts. Otherwise you'll have to solve numerically.
August 11th, 2017, 07:45 AM   #3
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 Originally Posted by Joppy Separately? Or are they coupled? If separately, then the first one is easily identified as the Riccati equation. The second one I'm not so sure. It looks like there could be a substitution of sorts. Otherwise you'll have to solve numerically.
Separately

 August 11th, 2017, 07:59 AM #4 Senior Member   Joined: Feb 2016 From: Australia Posts: 1,353 Thanks: 464 Math Focus: Yet to find out. What have you tried for the first one Sent from my iPhone using Tapatalk

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