Tags: order

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  1. 6-070-S-BeerBubbles

    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...

  2. 2012-Levermore. David - First-Order Ordinary Differential Equations II:  Graphical Methods and Applications

    01 Dec 2017 | | Contributor(s):: Brian Winkel

    Levermore. David. 21012. First-Order Ordinary Differential Equations II:  Graphical Methods and Applications. University of Maryland. Notes. 23 pp.5. First-Order Equations: General Theory5.1. Well-Posed Problems 25.2. Existence and Uniqueness 36. First-Order Equations:...

  3. 2015-Endale, Mersha Amdie - Some application of first order differential equations to real world system. Masters Thesis.

    26 Nov 2017 | | Contributor(s):: Brian Winkel

    Endale, Mersha Amdie. 2015. Some application of first order differential equations to real world system. Masters Thesis. Haramaya University.We quote from the opening by the author,“The subject of differential equations is important part of mathematics for understanding the...

  4. 2009-Mallett, Travis and Josh Fetbrandt - Differential Equations Class Notes.

    11 Sep 2017 | | Contributor(s):: Brian Winkel

    Mallett, Travis and Josh Fetbrandt. 2009. Differential Equations Class Notes. Washington State University.From the Dear Reader opening page of these notes,“These notes were written by two students (Travis Mallett and Josh Fetbrandt) at Washington State University in Fall 2009 and...

  5. 2012-Unknown - Applied Differential Equations. Notes

    11 Sep 2017 | | Contributor(s):: Brian Winkel

    2012-Applied 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...

  6. 2012-Bourne, Murray - Modeling fish stocks.

    10 Sep 2017 | | Contributor(s):: Brian Winkel

    Bourne, Murray. 2012.  Bourne-Modeling fish stocks.https://www.intmath.com/blog/mathematics/modeling-fish-stocks-7377  . Accessed 10 September 2017.Discusses many models of harvesting and consequences.Keywords: logistic, harvest, differential equation, model, first order,...

  7. 2013-Slavik, Antonin - Mixing Problems with Many Tanks.

    10 Sep 2017 | | Contributor(s):: Brian Winkel

    Slavik, Antonin. 2013. Mixing Problems with Many Tanks. Mathematics Monthly.  120: 806-821.See https://www.tandfonline.com/doi/abs/10.4169/amer.math.monthly.120.09.806 .Discusses many tank configurations, circular, cascading, in a row, etc. and the attendant matrix...

  8. 2005-Howard P. - Modeling with ODE. Notes.

    10 Sep 2017 | | Contributor(s):: Brian Winkel

    Howard P. 2005. Modeling with ODE. Notes. 48 pp.See https://www.math.tamu.edu/~phoward/m412/modode.pdf .Great exposition and lots of Modeling Scenarios almost laid out completely as exercises.From the textOverviewA wide variety of natural phenomena such as projectile motion,...

  9. 2010-Del Ciello, Sarah, Jack Clementi, and Nailah Hart - Modeling Disease

    10 Sep 2017 | | Contributor(s):: Brian Winkel

    Del Ciello, Sarah, Jack Clementi, and Nailah Hart. 2010. Modeling Disease – FinalReport. See http://educ.jmu.edu/~strawbem/math_201/final_reports/Clementi_DelCiello_Hart_Final.pdf . Acessed 8 September 2017.Abstract: This paper models the progression of a disease through a...

  10. 2017-Bialek, William - Boxes and Arrows To Differential Equations

    09 Sep 2017 | | Contributor(s):: Brian Winkel

    Bialek, William. Boxes and Arrow to Differential Equation.  https://www.princeton.edu/~wbialek/intsci_web/dynamics1.2.pdf   From An Integrated, Quantitative Introduction to the Natural SciencesPart 1:  Dynamical Models at...

  11. 2017-AccessPharmacy - Pharmacokinetics Of Drug Absorption

    09 Sep 2017 | | Contributor(s):: Brian Winkel

    AccessPharmacy (McGraw Ill). Applied Biopharmaceutics & Pharmacokinetics. Chapter 7.  Pharmacokinetics of Oral.See https://accesspharmacy.mhmedical.com/book.aspx?bookID=1592 .  Accessed 7 September 2017.From the web page.“The pharmacokinetics of drugs...

  12. 2017-Peletier, L. A. - Ordinary Differential Equations in Pharmacodynamics. Notes.

    09 Sep 2017 | | Contributor(s):: Brian Winkel

    Peletier, L. A. 2018   Ordinary Differential Equations in Pharmacodynamics. Notes. 23 pp.See http://www.math.leidenuniv.nl/~peletier/azcourse04.pdf . Accessed 8 September 2017.Good mix of theory, application, solution technique in a number of areas of applications of...

  13. 1967-Israelsson, D. and A. Johnsson - Circumnutations In Helianthus Annuus

    08 Sep 2017 | | Contributor(s):: Brian Winkel

    Israelsson, D. and A. Johnsson. 1967. A Theory for Circumnutations in Helianthus annuus.  Physiologia Plantarum. 20:  957-976.https://onlinelibrary.wiley.com/doi/10.1111/j.1399-3054.1967.tb08383.x Abstract:“A theory is given for circumnutations in plants,...

  14. 1969-Israelsson, D. and A. Johnsson - Phase Shift In Geotropical Oscillations

    08 Sep 2017 | | Contributor(s):: Brian Winkel

    Israelsson, D. and A. Johnsson. 1969. Phase-shift in Geotropic Oscillations a Theoretical and Experimental Study.  Physiologia Plantarum. 22:  1226-1237.See https://pubmed.ncbi.nlm.nih.gov/20925673/ .The paper studies geotropical induced phase-shifts in circumnutations (turning)...

  15. 2017-Domokos , Andras - Differential Equations - Theory and Applications – Notes

    07 Sep 2017 | | Contributor(s):: Andras Domokos

    Domokos , Andras. 2017. Differential Equations - Theory and Applications – Notes. 126 pp. California State University, Sacramento.  See http://www.csus.edu/indiv/d/domokos/diffeq.pdf . Accessed 6 September 2017.The author says in the...

  16. 2010-Liakos, Kelly - A lion chases down an antelope

    06 Sep 2017 | | Contributor(s):: Brian Winkel

    Liakos, Kelly. A lion chases down an antelope.  http://calculus7.com/id9.html Accessed 4 September 2017.This material comes the site, Calculus Animations, Graphics and Lecture Notes, which is dedicated to  a very creative teacher, Kelly Liakos. The opening says,  “In...

  17. 1-115-S-ModelingWithFirstOrderODEs

    04 Sep 2017 | | Contributor(s):: Michael Grayling

    Several models using first order differential equations are offered with some questions on formulating a differential equations model

  18. 2010-Kijek, A. and T. Kijek - Modelling of Innovation Diffusion.

    02 Sep 2017 | | Contributor(s):: Brian Winkel

    Kijek, A. and T. Kijek. 2010. Modelling of Innovation Diffusion. Operations Research and Decisions. 3-4:53-68.See https://econpapers.repec.org/article/wutjournl/v_3a3-4_3ay_3a2010_3ap_3a53-68_3aid_3a169.htm .Abstract: Since the publication of the Bass model in 1969, research on the...

  19. 1-043-S-CoolingUpAndDown

    26 Aug 2017 | | Contributor(s):: Brian Winkel

    We consider modeling the attempt of an air conditioner to cool a room to a ``constant'' temperature.

  20. 1-057-S-FiguringFluidFlow

    15 Aug 2017 | | Contributor(s):: Brian Winkel

    We propose three differential equations models for the height of a column of falling water as the water exits a small bore hole at the bottom of the cylinder and ask students to determine which model is the best of the three.