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TOPIC
LECTURE
Aircraft Speed in Pull-Up from a Dive
1
Asymptotic Behavior of Solutions to a First-Order Autonomous ODE
9
Attractor
9
Autonomous First-Order ODE
9
Bernoulli Equation
4
Bifurcation
9
Caley-Hamilton Theorem
0
Catenary
1
Chemical Mixing Tanks: 2-dim System of ODEs
1
Column Loading
1
Cramer's Rule
0
Cantilever Beam
1
Continuity Rectangle
8
Derivative Test for Attractors & Repellers
9
Determinants
0
Direction Line
5
Eigenvalues & Eigenvectors
0
Elementary Row Operations
0
Equilibrium Solution to a 1-st Order ODE
2
,
9
Error in Euler's Method
7
Euler's Method
7
Exact ODE
3
Exactness Criteria
3
Explicit Solution to n-th Order ODE
1
Explicit Solution to 1-st Order ODE
2
Explosive Growth
1
Existence of Solutions
8
Existence of Solutions to the Vector Equation Ax = b
0
Extendability of Solutions
8
Falling Body - Newton's Second Law
1
First Order ODE (form)
1
Forcing Function
4
Fundamental Theorem of Existence - FTE
8
Fundamental Theorem of Uniqueness - FTU
8
Fundamental Theorem of Existence and Uniqueness - FTEU
8
Fundamental Theorem of Existence, Uniqueness and Extendability - FTEUE
8
General Form of an n-th Order ODE
1
General Solution to 1-st-Order ODE
2
Global Extendability Theorem I
8
Global Extendability Theorem II
8
Global Extension
8
Homogeneous 1-st Order ODE
4
Horizontal Motion of a Damped Mass Spring System - Newton's Second Law
1
Implicit Solution to an n-th Order ODE
1
Implicit Solution to a 1st-Order ODE
2
Increasing Functions
9
Initial Conditions
1
Initial Values for 1-st Order ODE
1
Integral Curve
5
Integral Formula Solution to 1-st Order IVP
6
Integrating Factor for Inexact ODE
3
Integrating Factor for a Linear 1-st Order ODE
4
Invertible Matrix Theorem
0
Invertible 1-st Order ODE
4
Isocline
5
Jump Discontinuity
6
Linear Independence of Vectors
0
Linear ODE
4
Linear Population Growth - Model
1
Logistic Population Growth - Model
1
Logistic Population Growth - Solution
3
Logistic Population Growth with Harvesting - Model and Bifurcation Analysis
9
Matrix
0
Maximal Interval of Definition
8
Nonhomogeneous 1-st Order ODE
4
Norm
0
Normalized 1-st Order ODE
4
Orbit
9
Ordinary Differential Equation
1
Parabolic Reflector
1
Particular Solution to a 1-st Order ODE
2
Path
9
Phase Line
9
Piecewise Continuous Function
4
Piecewise Differentiable Function
6
Piecewise Method for a 1-st Order IVP
6
Predator-Prey: 2-dim System of ODEs
1
Radioactive Decay
1
Repeller
9
RLC Series Electric Circuit
1
Row Reduction
0
Runge-Kutta Method
7
Scalar (Dot) Prodect
0
Separable ODE
3
Similar Matrices
0
Singular Solution to a 1-st Order ODE
2
Sink
9
Slope Field
5
Solution Procedure - Linear 1-st Order ODE
4
Source
9
Tacoma Narrows Bridge - Nonlinear Vibrations
1
Taylor Polonomial Approximation
7
Time Translation of a Solution to an Autonomous ODE
9
Trapping Region
9
Uniqueness of Solutions
8
Vector and Matrix Norm
0
Vector Function
0
Vizualization Tools for 1-st Order IVPs with Piecewise Continuous Input
6
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