Coupled Differential Equations

Learning tasks

A) Definitions and Equilibrium
1) Checking a Solution	Ex 1 Ex 2 Ex 3
2) Identifying Coupled Systems	Ex 4 Ex 5
3) Determining the equilibrium point(s)	Ex 6 Ex 7 Ex 8
B) Phase Portrait
4) Calculating Velocity Vectors	Ex 9 Ex 10 Ex 11
5) Sketching Phase Portraits	Ex 12 Ex 13
6) Sketching Trajectories from Phase Portraits	Ex 14 Ex 15 Ex 16
C) Coupled Linear Differential Equations
7) Writing Coupled Systems in Matrix Form	Ex 17 Ex 18 Ex 19 Ex 20
8) Solving Coupled Linear Differential Equations	Ex 21 Ex 22 Ex 23
D) Second Order Differential Equations
9) Converting Second-Order Equations to Systems	Ex 24 Ex 25 Ex 26 Ex 27
10) Modelling Physical Systems with Second-Order Equations	Ex 28 Ex 29
E) Euler's Method for Coupled Systems
11) Applying Euler's Method Step by Step	Ex 30 Ex 31 Ex 32

Lesson Summary
Text book

Exercises Correction
A) Definitions and Equilibrium
    1) Checking a Solution Ex 1 Ex 2 Ex 3
    2) Identifying Coupled Systems Ex 4 Ex 5
    3) Determining the equilibrium point(s) Ex 6 Ex 7 Ex 8
B) Phase Portrait
    4) Calculating Velocity Vectors Ex 9 Ex 10 Ex 11
    5) Sketching Phase Portraits Ex 12 Ex 13
    6) Sketching Trajectories from Phase Portraits Ex 14 Ex 15 Ex 16
C) Coupled Linear Differential Equations
    7) Writing Coupled Systems in Matrix Form Ex 17 Ex 18 Ex 19 Ex 20
    8) Solving Coupled Linear Differential Equations Ex 21 Ex 22 Ex 23
D) Second Order Differential Equations
    9) Converting Second-Order Equations to Systems Ex 24 Ex 25 Ex 26 Ex 27
    10) Modelling Physical Systems with Second-Order Equations Ex 28 Ex 29
E) Euler's Method for Coupled Systems
    11) Applying Euler's Method Step by Step Ex 30 Ex 31 Ex 32