Modeling With Higher Order Differential Equations – Spring Mass Differential Equation (Part 1)

We note on earlier videos that a single differential equation serves as a model for diverse physical systems. Here in this series of videos, we’ll look at a second-order linear differential equation with constant coefficients for both homogeneous and non-homogeneous cases.

We note that the roots of the characteristic equation will govern the behavior of systems. Damped and undamped cases will be looked at.

Related posts:

1. Solving Linear First-Order Differential Equations – RL-Parallel Circuit (Example 3) An example showing how to model an RL-parallel circuit as...
2. Solving First-Order Linear Differential Equations using the Integration Factor, Example 1 Here’s a video on solving a first order linear differential...
3. Solving First-Order Linear Differential Equations – RL-Series Circuit (Example 1) In this example, we will be modeling a simple RL-series...
4. Solving Linear First-Order Differential Equations – RC-Parallel Circuit (Example 4) This example models an RC parallel circuit as a first...
5. Solving Linear First-Order Differential Equations – RC-Series Circuit (Example 2) This is another example of modeling a simple RC-series circuit...