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: Help me with this ordinary differential equation

  1. Apr 3, 2010 #1
    1. The problem statement, all variables and given/known data
    I need to find a general function y(x) such that:
    [tex] \dot y(x) - 2y(x) = y^2(x)-3 [/tex]

    2. Relevant equations

    3. The attempt at a solution
    I tried dividing the equation by [tex] y^2-3 [/tex] and turn it in to a Bernoulli differential equation, but that didn't work. The equation seems relatively simple yet i can't recall any method to solve it. Please help.
  2. jcsd
  3. Apr 3, 2010 #2


    Staff: Mentor

    It's separable. dy/dx = y2 + 2y - 3 ==> dy/(y2 + 2y - 3) = dx
  4. Apr 3, 2010 #3
    How could i not see that!! i solved it, tnx alot. :)
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook