# Second order DE in matrix form

1. Nov 29, 2009

### teapsoon

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

Consider the differential equation \bold{x}'=\left[ \begin{array}{cc} -1 & 2 \\ -1 & -3 \end{array} \right]\bold{x}, with \bold{x}(0)=\left[ \begin{array}{c} 1 \\ 1 \end{array} \right]

Solve the differential equation where \bold{x}=\left[ \begin{array}{c} x(t) \\ y(t) \end{array} \right].

solving for the x vector and y vector

2. Relevant equations

3. The attempt at a solution

2. Nov 30, 2009

### Staff: Mentor

I added [ tex] and [/ tex] tags (without leading spaces inside the brackets).

What have you tried? Do you have any ideas for how you might solve this system of equations?