Course: Ordinary Differential Equations

Ordinary Differential Equations

Instructors: Khairul Anwar bin Mohamad Said & Hishammudin Afifi bin Huspi

Course Synopsis

This course introduces fundamental knowledge in mathematics that is applicable in the engineering aspect. Topics include first order ordinary differential equation (1st ODE) and second order ordinary differential equation (2nd ODE) followed by engineering application for both ODE.

Learning Objectives:

1. Apply the respective 1^st and 2^nd order ODE

2. Analyse engineering problems (growth, decay, flow, spring and series/parallel electronic circuits) using 1^st and 2^nd order ODE

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Topic 1: Introduction to Ordinary Differential Equation

Definitions and Terminology, Initial-Value Problems and Differential Equations as Mathematical Models

Introduction to Ordinary Differential Equation File

Topic 2: 1st ODE Method of Separable Variables

Solving first order ordinary differential equation using Separable Variables Method; Step-by-Step example

1st ODE method of separable variables File

Topic 3: 1st ODE Method of Linear Equation

Step-by-Step example to solved first order ordinary differential equation using linear equation method

1st ODE Method of Linear Equation File

Topic 4: 2nd Order DE Linear Equations (Homogeneous 2nd order ODE)

Learning Objective:

1.To understand the preliminary theory on linear equations

2.To identify the types of 2nd order Ordinary Differential Equation

3.To apply reduction of order to Homogeneous 2nd order ODE.

4.To apply the 2nd order Ordinary Differential Equation

Topic 5: 2nd Order DE Linear Equations (Non Homogeneous 2nd order ODE)

Learning Objective:

1.To apply Undetermined Coefficients, Variation of Parameters & Cauchy Euler Equation to Non Homogeneous 2nd order ODE

2.To identify the types of 2nd order Ordinary Differential Equation

Topic 6: Engineering Applications with Second-Order Differential Equations

Learning Objective:

1. Analyze engineering problems (spring and series/parallel electronic circuits) using 2nd order ODE

2nd Order DE Linear Equations:Engineering Applications with Second-Order Differential Equations File

Topic outline

Ordinary Differential Equations

Topic 1: Introduction to Ordinary Differential Equation

Topic 2: 1st ODE Method of Separable Variables

Topic 3: 1st ODE Method of Linear Equation

Topic 4: 2nd Order DE Linear Equations (Homogeneous 2nd order ODE)

Topic 5: 2nd Order DE Linear Equations (Non Homogeneous 2nd order ODE)

Topic 6: Engineering Applications with Second-Order Differential Equations

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