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CIE A Level Maths: Pure 3复习笔记5.2.4 Modelling with Differential Equations

Category: A-level课程, 教材笔记, 福利干货 Date: 2022年8月19日 下午5:24

Modelling with Differential Equations

What can be modelled with differential equations?

? There are many situations that involve “change”

    • Temperature
    • Radioactivity
    • Medication
    • Sales

8.3.4-Notes-de_scenes

How do I set up a model with differential equations?

  • The first task is to set up a differential equation from a description in words:

8.3.4-Notes-de_setup

  • Important phrases here are …
    • …?formulate?... means to write as an equation
      • you may need to choose and define letters for variables
      • V?for volume,?h?for height (of a cylinder, say)

    8.3.4-Notes-de_setup2

  • Some differential equations may involve Connected Rates of Change

8.3.4-Notes-de_croc_setup

Exam Tip

  • Use a highlighter (or underline) to pick out important words/phrases
  • Read and re-read the question several times
  • Jot down bits and pieces as you go; do not expect to go straight from reading to writing down a differential equation.

Worked Example

8.3.4-Example-soltn

 

 

 

 

 

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