Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Bernoulli - Find the general solution

  1. Sep 22, 2011 #1
    Bernoulli -- Find the general solution

    1. The problem statement, all variables and given/known data

    Find the general solution of:


    2. Relevant equations

    Bernoulli's Equation

    3. The attempt at a solution



    Let v=(y^-2), thus v'=((-2y^-3)y'



    Multiply through by (-2)


    Now it's in first-order linear so I multiply by e^int(-2x)dx = e^(-x^2)


    This is where I'm getting stuck :(

    BECAUSE: the integral of e^(-x^2) is the "error function?"

    According to Wolfram, integral e^(-x^2) dx = 1/2 sqrt(pi) erf(x)+constant


    Anyone get anything different or know where I might have messed up?

  2. jcsd
  3. Sep 22, 2011 #2
    Re: Bernoulli -- Find the general solution

    GOT IT!! Sorry, I don't know if there's an option for deleting a topic. My apologies.

    Thanks, either way :)
  4. Sep 22, 2011 #3

    rude man

    User Avatar
    Homework Helper
    Gold Member

    Re: Bernoulli -- Find the general solution

    Should have used separation of variables.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook