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I have a problem solving this Bernoulli equation (tried several times)
I am attaching the question along with my latest attempt at the time of this writing.
Any help in spotting my mistake(s) would be greatly appreciated!
Thanks in advance!
Edit: Wolfram Alpha says the answer is: http://www.wolframalpha.com/input/?i=y'+-+4/x+y+%3D+y^3/x^5;+y(1)+%3D+1 but I want to know what I did wrong in my work while attempting to get there.
Re: I have a problem solving this Bernoulli equation (tried several times)
what you did to the line 3 to become line 4 ? x/8 became x^8, this one thing and the other one, you cant solve it by separation of variables until you get all the x"s on a side and all y"s on the other side
1 Attachment(s)
Re: I have a problem solving this Bernoulli equation (tried several times)
It was in skipping that step that I made a mistake! Thank you!
(The correct way is attached if anybody cares - as #4 Good Version).