1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Diff. Eq. problem

  1. Sep 5, 2006 #1

    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.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Diff. Eq. problem
  1. Diff eq problem (Replies: 8)