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Views
Date
Relevance
Modeling Scenario
268
views
115
downloads
0
comments
3-085-SimplePendulum-ModelingScenario
Thestudent is asked to derive and solve a differential equation that gives the position (angle
Newton's Second Law of Motion
pendulum
kinetic energy
potential energy
Conservation of Energyt
initial conditions
small angle approximation
Taylor polynomial
percent error
Technique Narrative
896
views
117
downloads
0
comments
3-090-ChebyshevPolynomialSolution-TechniqueNarrative
The Chebyshev equation is presented as a vehicle to view series solutions techniques for linear, second order homogeneous differential equations with non-constant coefficients.
series soluotion
polynomial solutions
Chebyshev polynomials
Chebyshev differential equations
Potential Scenario
182
views
49
downloads
0
comments
2009-Chellaboina-EtAl-Modeling And Analysis-Mass Action Kinetics
Mass-action kinetics are used in chemistry and chemical engineering to describe the dynamics of systems of reactions, that is, reaction networks. These models are a special form of compartmental systems, involving mass- and energy-balance relations.
dynamical systems
chemical reaction
reaction network
mass action
Potential Scenario
171
views
44
downloads
0
comments
2015-Sivakumar-EtAl-Approximate Analytical Expression of Concentrations in a Kinetic Model for Biogas Generation from Banana Waste
The initial value problem in a kinetic model for biogas generation from banana waste is discussed. The model involves the system of non-linear differential equations which has variety of non-linear rate function.
chemical kinetics
Michaelis-Menten kinetics
anaerobic digestion
acidogenic steps
banana
methanogenic steps
wastes
Potential Scenario
154
views
58
downloads
0
comments
2006-G_Ashline-J_Ellis-Monaghan-How high-fast-long-Modeling water rocket flight with calculus
We describe an easy and fun project using water rockets to demonstrate applications of single variable calculus concepts.
calculus
Flight
projectile
water rocket
Modeling Scenario
178
views
165
downloads
0
comments
9-152-HorizontalBeam-ModelingScenario
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.
Polynomial dynamical system
beam
cantilever
Potential Scenario
136
views
71
downloads
0
comments
2002-Fay-The Pendulum Equation
We investigate the pendulum equation q’’(t) + l2 sin(q) = 0 and two approximations for it.
pendulum
Fourier series
Taylor series
numerical solution
Technique Narrative
485
views
496
downloads
0
comments
1-005-NavigatingNumericalMethods-TechniqueNarrative
This technique narrative is a discovery-based approach to learning the basics of numerical methods for first order differential equations, by following the graphical and analytical perspectives of the forward Euler method and second order Taylor...
Euler's method
Taylor's Method
search and rescue
Coaast Guard
lost at sea
longitude
latitude
limit definition
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