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

A Weird Differential equation

  1. Sep 9, 2008 #1
    Hi Folks..I came up with a weird looking DE for my research

    Q''[t] = f[t]Q'[t] + g[t]Q[t] + h[t]*Sqrt[(Q[t])^2 + (k[t]Q'[t])^2]

    The thing that mixes my mind is the square root term..If there is no square root terms it would like a riccati type..but there is..i tried to google it but it just showed me bunch of papers about fractional power DEs which is different...Is there any classification for this type ?

    Thanks..
     
  2. jcsd
  3. Sep 11, 2008 #2
    Common any ideas ?
     
  4. Sep 18, 2008 #3
    Actually, setting:

    [tex]Q(t)=e^{\int_0^t dx G(x)}[/tex]

    reduces your 2nd order ODE to a 1st order nonlinear one:

    [tex]G'(t)=-G(t)^2+f(t) G(t)+g(t)+h(t) \sqrt{G(t)^2 k(t)^2+1}[/tex]

    Depending on the form of the functions f(t),h(t), g(t) and k(t) you might be able to solve the latter and then again it might be worse...
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: A Weird Differential equation
  1. Differential equation (Replies: 3)

  2. Differential equation (Replies: 2)

  3. Differential equation (Replies: 2)

Loading...