# Can we spend more time reviewing second order ODEs?

From MacMynowski

We will spend more time on the solution of (arbitrary order) linear ODE's over the next two weeks. For now it is sufficient to recall that the solution is the sum of the response due to initial conditions, and the response due to any input.

If the damping ratio is less than one, then the response to an initial condition will be oscillatory with frequency \sqrt{\omega/k} (in rad/sec), and decay time depending on the damping.

--Doug