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

Systems of Differential Eq (Undetermined Coefficients)

  1. Nov 10, 2014 #1
    Hello guys,

    I need help solving this problem.

    Find the particular solution using method of undetermined coefficients:

    X'=AX + F(t)

    A= [4 ,1/3] <-- 1st row
    [9 , 6] <-- 2nd row

    F(t) = [-e^t,e^t]

    The complementary function is Xc=c1[1,3]e^(3t) + c2[1,9]e^(7t)

    Any help would be greatly appreciated!
     
  2. jcsd
  3. Nov 10, 2014 #2
    Repost. Sorry if things aren't clear. Here are the given using latex

    A=\begin{pmatrix}4 & 1/3\\ 9 & 6\end{pmatrix}

    F(t)=\begin{pmatrix}-e^t\\ e^t\end{pmatrix}

    ##Xc=c1\begin{pmatrix}1\\ 3\end{pmatrix}e^3t + c2\begin{pmatrix} 1\\ 9\end{pmatrix}e^7t##

    I'm having trouble finding the particular solution for the problem because F(t) is in exponential form. Please teach me how to approach this problem
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Systems of Differential Eq (Undetermined Coefficients)
Loading...