Environmental Engineering Systems

These YouTube videos illustrate how to combine Matlab and Simulink to solve differential equations.

Tutorial 1:

Solving VERY simple Ordinary Differential Equation (ODE)

dy/dt = -0.5 with y(0) = 100;

Tutorial 2:

Solving a simple ODE 

dy/dt = -0.5 y -10 with y(0) = 100;

Tutorial 3:

Solving a second order ODE

d²y/dt² + 3 dy/dt - 10 y +15 = 0 with dy/dt(0) = 10  and y(0) = 5;

Tutorial 4:

Solving coupled ODEs

dy/dt = -3 z with y(0) = 8 , AND 

dz/dt = 10 y with z(0) = 5

Tutorial 5:

Illustrating some additional functionality using the Tutorial 4 case.