Introduction to differential equations
Course provided by Open University
About this course
Differential equations are any equations that include derivatives and arise in many situations. This free course, Introduction to differential equations, considers three types of first-order differential equations.
- Recognise differential equations that can be solved by each of the three methods – direct integration, separation of variables and integrating factor method – and use the appropriate method to solve them.
- Use an initial condition to find a particular solution of a differential equation, given a general solution.
- Check a solution of a differential equation in explicit or implicit form, by substituting it into the differential equation.
- Understand the terms ‘exponential growth/decay’, ‘proportionate growth rate’ and ‘doubling/halving time’ when applied to population models, and the terms ‘exponential decay’, ‘decay constant’ and ‘half-life’ when applied to radioactivity.
- Solve problems involving exponential growth and decay.