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

What can be modelled with differential equations?

  There are many situations that involve “change”

• • Temperature
  • Radioactivity
  • Medication
  • Sales

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:

• 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)

  

• Some differential equations may involve Connected Rates of Change