if a diff.eqn. has the characteristic equation L^2 + (3-k)L +1 = 0
the eigenvalues solves to -3/2 + K/2 +/- 1/2*sqrt(5-6K+K^2). No problem there. But when is the diff.eqn. asymp. stable, meaning Re(L)<0 ?
I can only get this far
Re[ -3/2 + K/2 +/- 1/2*sqrt(5-6K+K^2) ] < 0
-3/2 + 1/2 Re[ K +/- sqrt(5-6K+K^2) ] < 0
How can i find the values for K, where this inequality is true?