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: Diff. Eq. problem

  1. Sep 5, 2006 #1
    Problem:

    y'=f(at+by+c) where a,b, and c are constants. Show that the substitution of x=at+by+c changes the equation to the separable equation x'=a+bf(x). Use this method to find the general solution of the equation y'=(y+t)^2


    I really have no clue on this one. If someone could start me off in the right direction that would be great. I'm not seeing how they get that separable eq.
     
  2. jcsd
  3. Sep 5, 2006 #2
    Try writting the substitution as
    [tex] x-at-c = by [/tex]
    Now take the derivative with respect to what I am assuming is the independent variable, t. The result should pop out at you.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook