Differential equations (new A level maths)

This 33-page resource covers all the required knowledge and techniques for the topic of differential equations, as required for the new A level. In each section it contains notes, explanations and examples to work through with your class followed by an exercise of questions for students to attempt themselves (answers included). Also included is 17-question assessment that can be used as a test or homework.

The sections/topics are:

1.Finding the equation of a curve from its gradient function
(a) from dy/dx = … find an expression for y
(b) finding general and particular solutions

2.Variable separable equations
(a) practice of separating the variables into the form f(y) dy = g(x) dx
(b) solving variable separable equations

3.Forming differential equations from a description of how a quantity is changing

4.Modelling with differential equations
(a) Constructing the appropriate differential equation to model a given situation
(b) Solve differential equations and interpret/use the solutions
© Consider the assumption(s) or limitation(s) of a model and suggest possible improvements

This projectable and printable resource will save you having to create or write out any notes/examples when teaching the topic, and will make things easier for your students as they can just work directly on the given spaces provided for solutions. The comprehensive set of exercises contains around 100 questions for your students to complete. Answers to all exercises are included.

Here is an example of one of my A level resources that is freely available:

https://www.tes.com/teaching-resource/differentiation-and-integration-with-exponential-and-trigonometric-functions-new-a-level-11981186