Systems of ODEs

1
Systems of ODEs
A system of 1st order ODEs can be expressed in
the form
The system can also be expressed using vector
notation
2
Eulers Method for Systems of ODEs
Taylor series approximation
Eulers method
Using vector notation
3
High Order ODEs
High order ODEs can be converted to a system of
ODEs, e.g.
4
Example A Mass-Spring-Damper System

x
k
m
b