Separable DE

  1. How would I start this one? I tried dividing by y, but that does not work

  2. jcsd
  3. arildno

    arildno 11,265
    Science Advisor
    Homework Helper
    Gold Member

    Why doesn't that work?
  4. Yeah why does dividing by y not work?
  5. Here's what I did:

    1/y y' = x/(1+x²)
    ln y = 1/2 ln (1+x²)+c
    y = ce^(1/2 ln(1+x²))

    Answer's supposed to be: c*sqrt(1+x²)
  6. Yeah, ok and how is that different from what you had? Just simplify your expression with the properties of logs.
  7. Nevermind. I get it now. Thank you :)
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