Need help transforming a Differential Equation

1. The problem statement, all variables and given/known data

Express the DE as a first order system normal form. Then, express is matrix notation.


I need to transform this into a first order system. I first divided the entire equation by 2 and got


I am not sure what to do now.

My first attempt was setting x1=y, x1'=y', and x2=y', x2'=y''

I don't know if I am heading in the right direction and if so, was not sure what to do next.


Science Advisor
That can be done in a number of ways. The simplest is : Define u= y' so that y"= u' and your second order differential equation becomes a first order equation in y and u. You now have two first order equations.
So, when I rewrite the equation, do I leave out the 'y' in the term 2ty?


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