eigenvector, complex roots
I am asked to solve the system:
with the initial condition
I find the roots of the characteristic equation to be +/- 2i
and the associated eigenvector to be
from euler's formula, i find that x(t) = [cos(2t)+isin(2t)](1 : 2-2i)
cos2t + isin2t
2cos2t + 2sin2t
with the initial condition, i find c1 = -3 and c2 = -5/2.
Where am I wrong (submitted answer is not correct)
Thanks, let me know if anything needs more explanatioin.