
2021Bryan, Kurt  SIMIODE Online Digital Textbook Student Solutions
26 May 2021   Contributor(s):: Kurt Bryan
We publish the Student Solutions for the SIMIODE digital online text, Differential Equations: A Toolbox for Modeling the World, by Dr. Kurt Bryan, RoseHulman Institute of Technology, Terre Haute IN USA. Between these and the complete set of 230 Reading Exercise solutions, the...

2021Bryan, Kurt  SIMIODE Online Digital Textbook Student Solutions
26 May 2021   Contributor(s):: Kurt Bryan
We publish the Student Solutions for the SIMIODE digital online text, Differential Equations: A Toolbox for Modeling the World, by Dr. Kurt Bryan, RoseHulman Institute of Technology, Terre Haute IN USA.Between these and the complete set of 230 Reading Exercise solutions, the...

2021Bryan, Kurt  SIMIODE Online Digital Textbook Reading Exercises Keys
19 May 2021   Contributor(s):: Kurt Bryan
We publish the Reading Exercises Keys for the SIMIODE digital online text, Differential Equations: A Toolbox for Modeling the World, by Dr. Kurt Bryan, RoseHulman Institute of Technology, Terre Haute IN USA.

2021Bryan, Kurt  SIMIODE Online Digital Textbook Reading Exercises Keys
19 May 2021   Contributor(s):: Kurt Bryan
We publish the Reading Exercises Keys for the SIMIODE digital online textbook, Differential Equations: A Toolbox for Modeling the World, by Dr. Kurt Bryan, RoseHulman Institute of Technology, Terre Haute IN USA.

10001STilingHallway
12 Sep 2019   Contributor(s):: Rob Krueger, Eric Stachura
Students will investigate difference equations through the context of tiling hallways. Students will observe patterns in the tiling which will lead to a difference equation model. Solutions will be calculated by iteration. Then students will be introduced to the concept of the shift...

9005SInvasiveSpeciesModel
08 Aug 2019   Contributor(s):: Eric Stachura
This scenario takes students through the development of an invasive species partial differential equation model. Basic models are discussed first, which lead students to eventually develop their own model which takes into account dispersion. Students will explore various Mathematica modules...

2008Mohameden, Ahmed  Solving initialvalue second order ordinary differential equations on an Excel spreadsheet.
28 Nov 2017   Contributor(s):: Brian Winkel
Mohameden, Ahmed. 2008. Solving initialvalue second order ordinary differential equations on an Excel© spreadsheet. MSOR Connections. 8(4): November 2008 – January 2009. 2125.Abstract: This paper presents a friendly method of solving initialvalue second order differential...

2017Honchar, Alex  Neural Networks For Solving Differential Equations
26 Nov 2017   Contributor(s):: Brian Winkel
Honchar, Alex. 2017. Neural Networks For Solving Differential Equations. See https://becominghuman.ai/neuralnetworksforsolvingdifferentialequationsfa230ac5e04c. Accessed 27 November 2017.We quote from the opening by the auth0r,“We mostly know neural...

2007Chern, ILiang  Mathematical Modeling and Differential Equations. Notes.
11 Sep 2017   Contributor(s):: Brian Winkel
Chern, ILiang. 2007. Mathematical Modeling and Differential Equations. Notes. 223 pp.See http://www.math.ntu.edu.tw/~chern/notes/ode2015.pdf . Accessed 10 September 2017.From the first chapter,In science, we explore and understand our real world by observations, collecting...

2017Emerson, Bruce  Wonderful World of Differential Equations
11 Sep 2017   Contributor(s):: Brian Winkel
Wonderful World of Differential Equations. Notes. 52 pp. http://coccweb.cocc.edu/bemerson/PhysicsGlobal/Courses/PH213/PH213Learning/PH213WebR/documents/DiffEqIntro.pdf . Accessed 11 September 2017.This is a terrific set of noted with models and applications woven into the material at...

2010Soetaert, Karline, Thoas Petzoldt, R. Woodrow Setzer  Solving Differential Equations in R.
11 Sep 2017   Contributor(s):: Brian Winkel
Soetaert, Karline, Thoas Petzoldt, R. Woodrow Setzer. 2010. Solving Differential Equations in R. The R Journal. 2(2): 515.See https://journal.rproject.org/archive/2010/RJ2010013/RJ2010013.pdf .Abstract: Although R is still predominantly applied for statistical analysis and...

2002Fay, T.  The Pendulum Equation.
08 Sep 2017   Contributor(s):: Brian Winkel
Fay, T. 2001.The Pendulum Equation. Int. J. Math. Educ. Sci. Technology. 33(4): 505519.See https://www.tandfonline.com/doi/abs/10.1080/00207390210130868. Abstract:We investigate the pendulum equation q’’(t) + l2 sin(q) = 0 and two approximations for...

2017Domokos , 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...

5030STextLinNonHomoSystemSol
26 Aug 2016   Contributor(s):: Brian Winkel
We offer strategies for solving linear systems of nonhomogeneous differential equations of the form X'(t) = A X(t) + G(t) using a conjectured solution strategy for a system of constant coefficient, linear, nonhomogeneous, differential equations.