These University differential equations multiple choice questions check your understanding of differential equations with 10 questions for pupils aged 18-19. Each question has four answers, and the right one is explained as soon as you choose.
University differential equations multiple choice questions: the 10 questions
The order of \(y''+3y'=x\) is
General solution of \(y'=2y\)
Roots \(m=\pm3i\) give
Integrating factor of \(y'+3y=x\)
A repeated root \(m\) gives
The number of arbitrary constants in the general solution of a second-order DE is
\(y'=y^2\) is
Newton's law of cooling gives T approaching
For \(y''+y=0\) the solutions are
Total solution of a non-homogeneous DE is
How to use these University 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.
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