# Solve the following system of ODE's and plot its solution

Solve the following system of ordinary differential equations

d^2x/dt^2 + 5x + 2y = 0

d^2y/dt^2 + 2x + 8y = 0

with initial conditions x(0)=1, y(0)=2, x'(0)=-4, y'(0)=2

and plot its solution as a curve in the {x,y} plane.

This sounds like homework. You may find http://www.sagemath.org/doc/reference/calculus/sage/calculus/desolvers.html helpful.