Question

convert y''+2ky'+a^2 y=0 into 2*2 system please?

Answer 1

here we can introduce a new function \(\Large \eta \), so, we can rewrite your system as below:
\[\huge \left\{ \begin{gathered}
y' = \eta \hfill \\
\eta ' + 2k\eta + {a^2}y = 0 \hfill \\
\end{gathered} \right.\]

Answer 2

i need it as a 2*2matrix form

Answer 3

you have it now

Answer 4

i don't understand it

Answer 5

can you write it as a matrix please

Answer 6

let's have a go!