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: Dif.equation system

  1. Oct 21, 2013 #1
    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution
    detreminant=(1-λ)(-1-λ)=(λ-3)(λ+3);λ[itex]_{1}[/itex]=-3 and λ[itex]_{2}[/itex]=3

    So system 2:

    When i put λ[itex]_{1}[/itex]=-3 in system 2 -> [itex]\alpha[/itex] and [itex]\beta[/itex]=0.
    the same goes for λ[itex]_{2}[/itex]

    That menas that solution in form of y=C_1*[itex]\beta[/itex]_1*exp(λ[itex]_{1}[/itex]*t)+C_2*[itex]\beta[/itex]_2*exp(λ[itex]_{2}[/itex]*t) is equal to 0. Thats wrong.

    Where is my mistake?
    Last edited by a moderator: Oct 21, 2013
  2. jcsd
  3. Oct 21, 2013 #2


    User Avatar
    Science Advisor
    Homework Helper

    hi prehisto! :smile:

    so far so good! …
    now solve either line to get β = 2α, so your eigenvector is any multiple of x + 2y :wink:
  4. Oct 21, 2013 #3
    ok,that means that i can chose α1=1 β1=2 and
    α2=1 β2=-4

    Is this form of solution correct or I have to use something else?
  5. Oct 21, 2013 #4


    User Avatar
    Science Advisor
    Homework Helper

    i think it would be better if you checked by starting with the eigenvector equations

    x + 2y = Ae3t
    x - 4y = Ae-3t
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted