
5025SSaltCompatments
19 Jul 2019   Contributor(s):: Brian Winkel
Model a phenomena in which salt mixtures from two tanks are mixed using several strategies.

7040STankInterruptMixing
22 Aug 2018   Contributor(s):: Norman Loney
We present a differential equation model for the interrupted mixing of a tank with salt water. We offer two solution strategies (1) two step approach and (2) Laplace Transforms.

2012Applied Differential Equations
11 Sep 2017   Contributor(s):: Brian Winkel
2012Applied Differential Equations. Notes. 34 pp.Set of notes on solution strategies for first order differential equations with attention to detail in solutions and several models: tank mixing problems, mortgage, escape velocityKeywords: differential equation, model, first order, tank mixing,...

2013SlavikMixing Problems with Many Tanks
10 Sep 2017   Contributor(s):: Brian Winkel
Slavik, Antonin. 2013. Mixing Problems with Many Tanks. Mathematics Monthly. 120: 806821.Discusses many tank configurations, circular, cascading, in a row, etc. and the attendant matrix representation of the linear mixing model of differential equations. Keywords: tank, circula,...

Joyner  Mixing Problems
10 Sep 2017   Contributor(s):: Brian Winkel
Joyner, David. Mixing Problems in ODEs. Notes. 4 pp. https://www.usna.edu/Users/math/wdj/_files/documents/teach/sm212/DiffyQ/demixing.pdf . Accessed 10 September 2017.Here is what this material is about,“Suppose that we have two chemical substances where one is soluable in the other, such...

Nichols Review of Mixing Problems
10 Sep 2017   Contributor(s):: Brian Winkel
Nichols, David. Review of Mixing Problems. 5 pp.Examples of tank mixing problems and solutions with attention to formulation and solution strategies.Keywords: differential equation, mixing, tank, model

Ten DE Application Problems
10 Sep 2017   Contributor(s):: Brian Winkel
Ten Application Problems of Differential EquationA list of 10 applications anonymous list with these instructions, “For each problem, set up a differential equation modeling the situation. Be sure to define your variables, state the units being used, and determine the initial condition....

2011ShibberuDEClassNotes
09 Sep 2017   Contributor(s):: Brian Winkel
Shibberu, Yosi. 2011. MA211 Differential Equations. Class Notes. PowerPoint. 426 slides. https://www.rosehulman.edu/~shibberu/MA211/Slides.pdf . Accessed 1 September 2017 This is a very good set of course slides and the Table of Contents is given here. Since this is a mathematics...

2009MartinezLuacesModelling Applications Inverse Modelling
07 Sep 2017   Contributor(s):: Brian Winkel
MartinezLuaces, Victor. 2009. Modelling, applications and inverse modelling: innovations in differential equations courses. Seventh Southern Right Delta Conference. pp. 159170.Abstract: Differential equations and Laplace transform are widely used to solve problems concerned with...

ShareTechNotesDEModelsTanks
05 Sep 2017   Contributor(s):: Brian Winkel
TechShareNotes. Differential Equations Modeling: Example Mixing. http://www.sharetechnote.com/. Accessed 4 September 2017.TechShareNotes is a web site with rich differential equation modeling html pages and this one is about mixing in one, two, and three tanks, with interesting...

2012WoodsModelingConcentrationInTank
05 Sep 2017   Contributor(s):: Brian Winkel
Woods, Christian. 2012. Modeling concentration of a solution. https://www.math.ucsd.edu/~c1woods/teaching/tankproblem.pdf . Accessed 4 September 2017.These are teaching notes from when the author was a graduate student TA in 2012.This is a nice exposition of a tank mixing problem...

1998ClausMcGahanModeling Projects In DE Course
05 Sep 2017   Contributor(s):: Brian Winkel
ClausMcGahan, Elly. 1998. Modeling Projets in a Differential Equations Course. PRIMUS: Problems, Resources, and Issues in Mathematics Undergraduate Studies. 8(2): 137149Abstract: Much has been said about the benefits of using projects in teaching the calculus sequence. Here we dis cuss...

1042SKoolAid
26 Apr 2017   Contributor(s):: Kristin Burney, Lydia Kennedy, Audrey Malagon
We model the amount of drink powder in a second tank of a two tank flow system.

1052SSaltWaterTanks
27 Nov 2016   Contributor(s):: Brian Winkel
We offer three mixing problems, of increasing order of difficulty, in which salt is coming into a tank of water and upon instantaneous mixing is leaving the tank.

1051SOneTankSaltModel
23 Jul 2016   Contributor(s):: Brian Winkel
We offer students a chance to model a one compartment salt mixing model.