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Cambridge AS & A Level Mathematics

3.8Differential equations

Differential equations in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic17 practice questions1 lesson

Learning objectives

What the syllabus expects you to be able to do.

  1. 3.8.1Paper 3: formulate a simple statement about a rate of change as a differential equation.
  2. 3.8.2Paper 3: find the general solution of a first-order differential equation with separable variables.
  3. 3.8.3Paper 3: use an initial condition to find a particular solution.
  4. 3.8.4Paper 3: interpret the solution in the context of the problem modelled.

Lessons

  • First-order differential equations with separable variables

    50 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Differential equations: sample question

1 mark

The mass mm grams of a radioactive sample decreases at a rate proportional to mm. Which differential equation models this (k>0k > 0, tt in days)?

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