- #1
jeffy
- 17
- 0
Homework Statement
dx/dt= -4x -y
dy/dt= x-2y
x(0)=4 y(0)=1
x(t)=?
y(t)=?
Homework Equations
The Attempt at a Solution
1) find eigenvalues
(x+4)(X+2)+1
X=-3,-3
2)eigenvectors:
(-3-A)(x,y)=(0,0)
eignvector=(-1,1)
3)using the P from this page http://tutorial.math.lamar.edu/Classes/DE/RepeatedEigenvalues.aspx
i found P to be (-1,0)
4) so i plugged the eigenvector and the P into the solution for repeated eigenvalues in the link above and got C1=1 and C2=-5
5) plugging those values in i got x=4e^(-3t)+(5t)e^(-3t) and y=e^(-3t)-(5t)e^-3t
however when i entered this into the program(igot all the syntax right) my answer is wrong and I've tried it many times