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October 30th, 2014, 09:19 AM  #1 
Newbie Joined: Oct 2014 From: england Posts: 1 Thanks: 0  solution for integral..dy/dx=a/(x^(1/2))+b/y
hi everyone! I am trying to have an explicit solution for the ode: dy/dx=a/(x^(1/2))+b/y It would be awsome if someone has an idea of how to solve it i tried some stuff buy I have quite poor integration abilities. I tried only in matlab and it doesnt have an explicit solution, I wonder if human fine brain can be more elegant? many thanks Shy 
October 30th, 2014, 07:08 PM  #2  
Math Team Joined: May 2013 From: The Astral plane Posts: 1,879 Thanks: 761 Math Focus: Wibbly wobbly timeywimey stuff.  Quote:
Dan  
October 30th, 2014, 11:39 PM  #3 
Senior Member Joined: Aug 2011 Posts: 334 Thanks: 8 
Hi shy ! The solution cannot be expressed on the form y(x), but on an implicit form : 

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