Determine the general solution of the differential equation y′ = (y/2x) − (xy)^3 . what method should i use for this
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Originally Posted by rajr c) Determine the general solution of the differential equation y′ = (y/2x) − (xy)^3 . what method should i use for this Rearranging, you get This can be recognized as a Bernoulli Equation. Let Thus, Making the appropriate substitutions, we end up with: which becomes the linear equation Can you take it from here?
thnk u is the integrating factor is ln¦x¦
Originally Posted by rajr thnk u is the integrating factor is ln¦x¦ The integrating factor is
hi thx for ur reply i got z to be (2x^4/5) + (c/x) i got the final answer to be 1/[sqrt{(2x^4/5) + (c/x)}] is this right
Originally Posted by rajr hi thx for ur reply i got z to be (2x^4/5) + (c/x) i got the final answer to be 1/[sqrt{(2x^4/5) + (c/x)}] is this right You're correct!
Originally Posted by rajr hi thx for ur reply i got z to be (2x^4/5) + (c/x) i got the final answer to be 1/[sqrt{(2x^4/5) + (c/x)}] is this right yes, if by 2x^4/5 you mean
Originally Posted by Chris L T521 You're correct! thank you for your help am done with my home work and the link which you gave for the DE was really helpful... it made me understand a lot better than other notes.. tc
Originally Posted by Jhevon yes, if by 2x^4/5 you mean yeah i got the same as what u mentioned thx
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