stability of a linear system
The linear system:
$y''(t)+4y'(t)=4(\lambda -1)y(t)+z(t)$
$z'(t)=(\lambda -3)z(t)$
Determine the stability of the system as a function of the parameter
$\lambda\in\mathbb{R}$.
How do i get started on this exercise? I am not asking for the solution,
just anything that can help me on my way?
Should i rewrite the system as a system of first order equations? If so,
how can i do this?
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