# Homework Help: Coupled first order differential equation.

1. Apr 15, 2012

### hangainlover

1. The problem statement, all variables and given/known data
$\frac{dx}{dt}=\gamma y$
$\frac{dy}{dt}=-\gamma x$

solve for x and y
2. Relevant equations

3. The attempt at a solution
I know how to solve it by substitution(without using matrix)
I know how to solve a coupled second order differential equations in matrix form, but not when im given two first order differential equations...
(I solved it by substituting y=(1\γ)dx/dt into the second equation ....
Id like to know how to solve it in matrix form