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!

Homework Help: Linear, non linear and homeogenous and non homeogenous

  1. May 3, 2017 #1
    1. The problem statement, all variables and given/known data
    Hi guys, I am having a bit of trouble with this question:


    S2. It the linear non linear and homogeneous parts. I think it is a linear equation, as I always think dy/dx (y)=H(x), but is there a way to show this, also for non linear cases. I belive the second part to this question my ans in Inhomeogenous, but once again is there a mathmatical way to show this. I know its not asking for that in the question but for future ref. Also I is omega a constant in this?
    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. May 3, 2017 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    For S2 to be linear, we must be able to express it in the form ##Ly=f(t)## for some linear differential operator ##L## and function ##f##. Can you do that?

    Re homogeneity: first express the equation in the form given here. Having done that, what are the functions ##M(y,t)## and ##N(y,t)##? Are they both homogeneous?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted