Introduction
Sections 19.2 and 19.3 have introduced several techniques for solving commonly occurring first-order and second-order ordinary differential equations. In this Section we solve a number of these equations which model engineering systems.
Prerequisites
- understand what is meant by a differential equation
- be familiar with the terminology associated with differential equations: order, dependent variable and independent variable
- be able to integrate standard functions
Learning Outcomes
- recognise and solve first-order ordinary differential equations, modelling simple electrical circuits, projectile motion and Newton’s law of cooling
- recognise and solve second-order ordinary differential equations with constant coefficients modelling free electrical and mechanical oscillations
- recognise and solve second-order ordinary differential equations with constant coefficients modelling forced electrical and mechanical oscillations