## Tags: ODE

### All Categories (1-6 of 6)

1. 01 Apr 2020 | Contributor(s):: Brian Winkel

M. Blomhøj, T.H. Kjeldsen, and J. Ottesen. 2018. Compartment models. Lecture Notes 47 pp.    Chapter 1 - Compartment ModelsBackground: It is important to master the ability to develop models. Modeling of dynamical systems plays a very important role in...

2. 31 Mar 2019 | | Contributor(s):: Mitaxi Pranlal Mehta

Differential equations and Laplace transforms are an integral part of control problems in engineering systems. However a clear explanation of the relationship of Laplace transforms with the differential equation formalism is difficult to find for coupled differential equations. Here we describe...

3. 22 Aug 2018 | | Contributor(s):: Norman Loney

We present a differential equation model for the temperature of a mercury thermometer which is sitting in a stream of water whose temperature oscillates. We suggest a solving strategy which uses Laplace Transforms.

4. 24 Apr 2018 | | Contributor(s):: Michael Karls

The goal of this project is to set up and numerically solve a first-order nonlinear ordinary differential equation (ODE) system of three equations in three unknowns that models beer bubbles that form at the bottom of a glass and rise to the top.  The system solution is then used to verify...

5. 22 Nov 2016 | | Contributor(s):: Gregg Waterman, Tiernan R Fogarty

This scenario is designed to lead students to discover a differential equation that models the vertical deflection of a horizontal beam under different boundary conditions. Vertical deflection occurs as a result of the weight of the beam alone, with no compressive force at the ends or distributed...

6. 10 Feb 2016 | | Contributor(s):: Timothy Pennings

As captain of a barge, you need to determine how fast to transportyour barge up river against the current in order to minimize the expended energy.Since expended energy is proportional to the force, and since the force is proportional to the speed, traveling too fast is inefficient. However, if...