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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:

    upload_2017-5-3_23-33-20.png

    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

    andrewkirk

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    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?
     
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