Differential Equation eigenvalue!!
Hi, I am having trouble with the following problem. I dont know where I am doing it wrong... please help me out...
Apply the eigenvalue method to find the particular solution to the system of differential equations
which satifies the initial conditions
So I found the eigenvalues and solved for eigenvector.
So for lambda = 13 eigenvector
for lambda = 1 eigenvector
Now for the given initial conditions I finally got:
x1 = -16/3*e^(13t) - 7/3*e^(t)
x2 = -16/3*e^(13t) + 5/3*e^(t)
But its wrong...