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Downloads
Views
Date
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Free Online Textbook
139
views
50
downloads
0
comments
2018-Mohammed_Kaabar-A_Friendly_Introduction_to_Differential_Equations
In this book, there are five chapters: Laplace Transform, Systems of Homogeneous Linear Differential Equations, Methods of First and Higher Orders DEs, Extended Methods of First and Higher Orders DEs, and Applications of DEs.
textbook
ordinary differential equations
Modeling Scenario
659
views
525
downloads
0
comments
3-034-CarSuspension-ModelingScenario
We examine the spring-mass-dashpot that is part of a car suspension, how the ride is related to parameter values, and the effect of changing the angle of installation. We model a ``quarter car'', meaning a single wheel.
design
spring-mass-dashpot
spring constant
underdamping
car suspension
suspension tolerance
static equilibrium
Potential Scenario
121
views
38
downloads
0
comments
2009-James_May-Nonlinear vibration control of long flexible structures
An automated, non-linear control scheme was developed to transfer energy from the fundamental vibration mode, where most vibration energy of the structures of interest resides, to higher order modes where vibration impedance was shown to be...
vibration
damping
tuned mass damper
viscous
nodal
model damping
flexible structure
energy transfer
Potential Scenario
99
views
44
downloads
0
comments
2007-Exben_Friis-Jensen-Modeling and Simulation of Glucose-Insulin Metabolism
In this thesis one of the models of diabetes, Bergman’s minimal model is described trough derivation and simulations.
Metabolism
insulin resistance
glucose
PID controller
intolerance
Modeling Scenario
170
views
180
downloads
0
comments
3-064-GearTrain-ModelingScenario
Students model an input-output mechanical system of gears with a second order, non-homogeneous, ordinary differential equation with constant coefficients. The model incorporates friction and moments of inertia of the gear train components.
friction
gear
spur gear
gear train
torque
gear ratio
angular acceleration
angular velocity
moment of inertia
double reduction gear
Potential Scenario
158
views
47
downloads
0
comments
1988-EY_Rodin-N_Taber-Yeast Growth Modelling in a Laboratory
Modeling simple growth with some missing data and doing linear regression for parameter estimation in closed form solution of differential equation model and data.
regression
yeast
growth
Potential Scenario
109
views
43
downloads
0
comments
2019_Isaac_Eshakoff-Differential_Equations_of_Love_and_Love_of_Differential_Equations
In this paper, simple ordinary differential equations are discussed against the background of William Shakespeare’s Romeo and Juliet.
mathematical model
system
mechanical
Romeo and Juliet
love
love-hate
jealousy
Shakespeare
Modeling Scenario
396
views
269
downloads
1
comments
3-104-BungeeJumping-ModelingScenario
In this project, students design a bungee jumping cord (cross-sectional area and length) that will keep jumpers safe. Students communicate their recommendations as a letter to a client interested in starting a bungee jumping business.
design
falling
mass
spring\
bungee
elesticity
recommendation
consult
Technique Narrative
704
views
144
downloads
0
comments
7-006-LaplaceTransformBirth-TechniqueNarrative
We present a way of introducing the Laplace Transform as the continuous analogue of a power series expression of a function.
Transformations
power series
Technique Narrative
832
views
110
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
Modeling Scenario
252
views
243
downloads
0
comments
3-035-StadiumDesign-ModelingScenario
For a given baseball playing field outline how high must the outfield fence be at each point in order to make a homerun equally likely in all fair directions?
projectile motion
baseball
parametric equation
stadium
home run
no reistant
fairness
no resistance
Modeling Scenario
239
views
139
downloads
0
comments
3-075-RLCCircuits-ModelingScenario
We introduce the basics of RLC circuits, defining the terms of inductance, resistance, and capacitance in a circuit in which an induced voltage created a current running through these devices.
resistance
circuit
voltage
inductance
capacitance
current
Kirchhoff's Law
Modeling Scenario
266
views
120
downloads
0
comments
5-022-ColdPill-ModelingScenario
A model for the flow of a cold pill drug through the gastrointestinal compartment to the bloodstream compartment of a human subject is proposed. Students solve the system of differential equation model, use known parameter values, and plot solutions.
rates
medicine
drug discovery
compartment
cold pill
gastrointestinal
bloodstream
Potential Scenario
117
views
70
downloads
0
comments
2015-Doust-Saraj-The logistic modeling population having harvesting factor
The present paper deals with the logistic equation having harvesting factor, which is studied in two cases constant and non-constant.
logistic
harvest
harvesting factor
Potential Scenario
110
views
53
downloads
0
comments
2015-Beier-EtAl-Building Context with Tumor Growth Modeling Projects in Differential Equations
Here we present two projects related to tumor growth appropriate for a first course in differential equations. They illustrate the use of problem-based learning to reinforce and extend course content via a writing or research experience.
tummor growth
research experience
Potential Scenario
150
views
36
downloads
0
comments
2000-Dwayne-Anderson-Estimates of the future membership of the Church of Jesus Christ of Latter-Day Saints
Thus, the purpose of this paper is to model the membership of the Church of the Latter Day Saints from the available data on membership from 1844 to 2000.
population dynamics
logistic
Latter-Day Saints
Modeling Scenario
272
views
162
downloads
0
comments
1-003-CollegeSavings-ModelingScenario
We present a modeling opportunity for students in which they have to plan and model for saving for a child's complete college education.
college
savings
interest rate
college cost
sensitiviyty
Modeling Scenario
258
views
163
downloads
0
comments
1-058-WaterClocks-ModelingScenario
We apply Torricelli's Law to the task of building a water clock in which the height of the water in a container falls at a constant rate when the container has a hole in the bottom to let the water flow out.
flow
Torricelli's Law
spigots
water clock
Modeling Scenario
184
views
163
downloads
0
comments
1-063-ThreeHoleColumnOfWater-ModelingScenario
We consider a column of water with three holes or spigots through which water can exit and ask students to model the height of the column of water over time.
falling
column of water
Torricelli's Law
multiple spigots
spigots
Modeling Scenario
224
views
213
downloads
0
comments
1-090-EmptySphericalTank-ModelingScenario
We model the emptying of water from a spherical tank. First, we pump out water at a constant rate. Second, we allow the water to exit through a small hole in the bottom of the tank. We seek to determine how fast the water level is falling in both...
Volume
sphere
Torricelli's Law
timing
spherical tank
fluid
empty
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