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: Finding the period of a differential equation?

  1. Aug 11, 2010 #1
    find the period of the solution to this differential equation:

    2y'' + 4y' + y = 0

    I used the complementary equation 2r^2 + 4r + 1 = 0 and then used the quadratic equation to factor that into 2 roots of -2 + 2^(1/2) and -2 - 2^(1/2) and I know that 2 real, distinct roots means there is no period but If the problem had been different how would I go about finding the period after determining the roots?
     
  2. jcsd
  3. Aug 11, 2010 #2

    Char. Limit

    User Avatar
    Gold Member

    Well, first, your roots are off by a scaling factor of 1/2. And assuming that both roots are imaginary, well, e^(ix) is periodic, but I'm not sure of the period...
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook