week_02_1.3,2.1,2.2,2.6

week_02_1.3,2.1,2.2,2.6 - MATH2860U: Chapter 1 cont.; 2 1...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
MATH2860U: Chapter 1 cont. ..; 2 1 FIRST ORDER DIFFERENTIAL EQUATIONS cont. .. Differential Equations as Mathematical Models (1.3, pg. 19) Definition: The mathematical description of a system or a phenomenon is called a mathematical model and is constructed with certain goals in mind. 1. Construct Model (state assumptions; define variables and units; determine relationships between variables) 2. Solve (graphically; numerically; algebraically) 3. Compare to data (is the result reasonable? Does it match with data?) Engineering Terminology: Dynamical System means differential equation State variables mean dependent variables Response of system means solution of differential equation Recall: Back in Calculus II, we studied various applications of differential equations, and how to set up such equations. Application: A 1000L tank contains 80 L of water with 0.2 kg/L of dissolved salt. Water containing 0.3 kg of salt per litre enters the tank at a rate of 7 L/min.
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 10/29/2010 for the course DEFFERENTI 2080 taught by Professor Kidnan during the Spring '10 term at UOIT.

Page1 / 4

week_02_1.3,2.1,2.2,2.6 - MATH2860U: Chapter 1 cont.; 2 1...

This preview shows document pages 1 - 2. Sign up to view the full document.

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