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

Solution of this non-linear equation

  1. Aug 16, 2005 #1
    i,m stuck into solving this differential equation:

    [tex]\frac{dy}{dx}f(y)=1 [/tex] i,m trying to find an integrand factor but don,t know what to chose to solve it someone could help?..thanks...

    EDIT:i,m interested in getting y=y(x) not x=x(y)
     
    Last edited: Aug 16, 2005
  2. jcsd
  3. Aug 16, 2005 #2

    arildno

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    Dearly Missed

    Let F(y) be an anti-derivative of f(y), i.e F'(y)=f(y).
    Hence, it follows that:

    F(y)=x+C, where C is an integration constant.

    Locally, F should be invertible, i.e, you could in principle solve for y(x)
     
  4. Aug 16, 2005 #3

    GCT

    User Avatar
    Science Advisor
    Homework Helper

    errr...have you considered whether it's separable?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Solution of this non-linear equation
Loading...