Systems of differential equations
Systems of differential equations
Ordinary Differential Equations
1
Barry Croke
Systems of differential equations
Systems of differential equations: what are they?
Modelling: predator-prey
Investigate using Matlab
Analyti
Higher order linear differential equations
Higher order linear differential equations
Ordinary Differential Equations
1
Barry Croke
Semester 1, 2016
Higher order linear differential equations
Higher order homogeneous linear differential equations
Definiti
Second order homogeneous linear differential equations
Second order homogeneous linear differential equations
1
Ordinary Differential Equations
Barry Croke
Second order homogeneous linear differential equations
Definitions and notation
Homogeneous differe
Non-homogeneous differential equations
Non-homogeneous differential equations
Ordinary Differential Equations
1
Non-homogeneous differential equations
Notation and definitions
General solution and particular solution
Barry Croke
Solution by undetermined c
Introduction
Introduction
Ordinary Dierential Equations
Barry Croke
1
Introduction
Mathematical models
Setting up a mathematical model
Semester 1, 2016
Basic concepts and denitions
Solutions of DEs
Particular solution of a DE
Initial Value Problems
Based
Mathematical models
Mathematical models
Ordinary Differential Equations
Barry Croke
Semester 1, 2016
1
Mathematical models
Matlab
Population dynamics
Newtons law of cooling/warming
Spread of disease
Chemical reactions
Based on notes written by Lilia Ferra