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: Variation of Parameters on a system of Differential Eqs (Simple question)

  1. Apr 27, 2008 #1
    1. The problem statement, all variables and given/known data
    Okay so when solving a system of D.E.s using Variation of Parameters I know that first I find the complementary solution Xc and then do a bunch a of crap after that using the fundamental matrix.

    Now I just came across a problem with repeated roots, so I just want to clarify that I am correct in saying that if the complementary solution looks like this:


    Then the fundamental matrix looks like this:

    [tex]\Phi(t)=\left(\begin{array}{cc}1 & t+1\\ 1 & t\end{array}\right)[/tex]

    Just a yes or no will do..... (if it's no, I am in trouble!)

  2. jcsd
  3. Apr 27, 2008 #2
    Anyone? I just want to make sure before I go using this....
  4. Apr 27, 2008 #3
    Well I thought it was a simple question.....
  5. Apr 27, 2008 #4
    Tina.... eat the food!
  6. Apr 28, 2008 #5
    eat the food!
  7. Apr 28, 2008 #6


    User Avatar
    Science Advisor

    Does it help you to point out that

    [tex]\left(\begin{array}{cc}1 & t+1\\ 1 & t\end{array}\right)\left(\begin{array}{c}c_1 \\ c_2\end{array}\right)= \left(\begin{array}{c}c_1+ c_2(t+1) \\ c_1+ c_2t\end{array}\right)[/tex]
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook