# second order DE in matrix form...

by teapsoon
Tags: form, matrix, order
 P: 1 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
Mentor
P: 19,753
 Quote by 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
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?

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