# Second order DE in matrix form...

by teapsoon
Tags: form, matrix, order
 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