What can be modelled with differential equations?

• Derivative terms like? ?are “rates of change”
• ? 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 …
  • … “rate of change” ... reference to a derivative term like
  • … directly/inversely proportional to ...
  • …?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