lecturenotes10_17 - Solving Differential Equations in...

Info iconThis preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
Click to edit Master subtitle style Solving Differential Equations in Matlab November 17th, 2008
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Overview 1. Numerical Solutions to ODEs a. Function functions b. ODE solvers 2. Symbolic Solutions
Background image of page 2
Differential Equations The most fundamental aspects of any biological entity is the way it changes with time, interacts with its environment, functions, and dies Any model of a biological system must describe the way it changes over time. It must include time derivatives Therefore it is described by differential equations !
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Ordinary Differential Equations (ODEs) Differential equations are equations that describe the dynamic behaviour of a variable or system over time. Much of engineering is based on differential equations ODEs are differential equations involving the function and its derivatives (one variable) ODEs can sometimes (often) be solved analytically
Background image of page 4
The Solution to a DE What is the solution to a differential equation? ¢ The solution is the function f(y,t) that makes the relationship true. ¢ So, we are looking for the implied relationship between time (or another independent variable) and the dependent variable.
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Numerical Solutions If an analytical equation cannot be found (or is inconvenient to find) we use numerical
Background image of page 6
Image of page 7
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 20

lecturenotes10_17 - Solving Differential Equations in...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online