Further Maths differential equations multiple choice questions to download as PDF

These Further Maths differential equations multiple choice questions check your understanding of differential equations with 10 questions for pupils aged 16-18. Each question has four answers, and the right one is explained as soon as you choose.

Further Maths differential equations multiple choice questions: the 10 questions

How to use these Further Maths differential equations multiple choice questions

First, read each question carefully before you look at the four answers. Then work the answer out on paper, so that you do not simply guess. After that, read the explanation, even when you are right. If you score less than 7 out of 10, go back to the differential equations lesson.

Finally, practise more with the differential equations worksheet and the quiz. 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.

The integrating factor for \(\frac{dy}{dx}+3y=e^x\) is:

The integrating factor for \(\frac{dy}{dx}+\frac2xy=1\) is:

Roots \(m=2,\ -1\) give CF:

A repeated root \(m=3\) gives CF:

Roots \(m=-1\pm2i\) give CF:

To find a PI for \(y''-y=e^{x}\) you should try:

The period of motion with \(\ddot x=-25x\) is:

When should initial conditions be applied?

Roots \(m=-1,-3\) correspond to:

The solution of \(\frac{dy}{dx}=ky\) is:

Differential equations – further maths multiple choice questions to download as PDF

Further Maths differential equations multiple choice questions: the 10 questions

The integrating factor for \(\frac{dy}{dx}+3y=e^x\) is:

The integrating factor for \(\frac{dy}{dx}+\frac2xy=1\) is:

Roots \(m=2,\ -1\) give CF:

A repeated root \(m=3\) gives CF:

Roots \(m=-1\pm2i\) give CF:

To find a PI for \(y''-y=e^{x}\) you should try:

The period of motion with \(\ddot x=-25x\) is:

When should initial conditions be applied?

Roots \(m=-1,-3\) correspond to:

The solution of \(\frac{dy}{dx}=ky\) is:

How to use these Further Maths differential equations multiple choice questions

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