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April 20th, 2015, 04:53 PM  #1 
Member Joined: Apr 2014 From: australia Posts: 68 Thanks: 32  Separable ODE
Hello, which of these equations are separable ODEs? (a) $\displaystyle (dy/dx)^2 = [\ln^2(1+x) /(x+1)^4]y $ (b) $\displaystyle \ln(1+x)(dy/dx) + [(\sin x) /(1+x^2)]y = 0$ (c) $\displaystyle 8y  (\sin2x/2x)(dy/dx) + (\sin x) /(1+x^2) = 0$ (d) $\displaystyle \sqrt{1+y} = \cos2x(dy/dx)$ I get (a), (b) & (d). Thanks in advance. Last edited by skipjack; April 20th, 2015 at 05:27 PM. 
April 20th, 2015, 05:30 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,281 Thanks: 1965 
You are correct.

April 20th, 2015, 05:31 PM  #3 
Member Joined: Apr 2014 From: australia Posts: 68 Thanks: 32 
thanks for confirming


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