Further Maths differential equations quiz to download as PDF

This Further Maths differential equations quiz has 10 short questions for pupils aged 16-18. Type your answer, check it straight away and read the explanation when you get one wrong.

Further Maths differential equations quiz: the 10 questions

Integrating factor for \(\frac{dy}{dx}+y=x\)?
Roots of \(m^2-4=0\)?
CF type when the roots are \(\pm3i\)?
Period of \(\ddot x=-4x\)?
PI trial for constant RHS?
If \(y=Ae^{2x}\), find \(y'\) in terms of \(y\).
Auxiliary equation of \(y''+5y'+6y=0\)?
Maximum speed of \(x=3\cos2t\)?
Newton's cooling: does the temperature approach room temperature? (yes/no)
Repeated root \(m=1\): second part of CF?

How to use this Further Maths differential equations quiz

First, answer every question without a calculator unless the question says so. Then check your answer and read the short explanation. If you get fewer than 7 right, revise the differential equations lesson and try again later. After that, try the multiple choice questions or the differential equations worksheet.

Finally, take this quiz again before a test, because quick retrieval helps you remember. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.