University differential equations quiz to download as PDF

This University differential equations quiz has 10 short questions for pupils aged 18-19. Type your answer, check it straight away and read the explanation when you get one wrong.

University differential equations quiz: the 10 questions

General solution of \(y'=3\)?
Solution of \(y'=y\), \(y(0)=2\)?
Auxiliary equation of \(y''-3y'+2y=0\)?
Roots of \(m^2-3m+2=0\)?
Integrating factor of \(y'+y/x=x\)?
Period of \(\cos(2t)\)?
Type of root giving oscillation?
\(y'=-y\), \(y(0)=1\): value of \(y(0)\) after one unit is?
Order of \(y'''+y=0\)?
Name the method for \(\frac{dy}{dx}=f(x)g(y)\).

How to use this University 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.