This topic is part of the HSC Mathematics Extension 1 syllabus under the topic Applications of Calculus: Differential Equations.

Here we will learn about recognising the features of a first-order linear differential equation and that exponential growth and decay models are first-order linear differential equations.

### First-order line differential equation

### First-order differential equation with exponential

### First-order differential equation with logs

Finally, let’s learn to model and solve differential equations including but not limited to the logistic equation that will arise in situations where rates are involved.