QCE Together Year 12 Specialist Maths: Types of Differential Equations

Specialist Maths

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Types of Differential Equations

This is part of the QCE Specialist Maths course, specifically types of differential equations.  In this post, we will learn to sketch the graph of a particular solution given a direction field and initial conditions:

  • Form a direction field (slope field) from simple first-order differential equations
  • Recognise the shape of a direction field from several alternatives given the form of a differential equation, and vice versa
  • Sketch several possible solution curves on a given direction field

 

Direction fields (slope field)

Form a direction field (slope field) from simple first-order differential equations.

 

How to write a differential equation from a slope field

Recognise the shape of a direction field from several alternatives given the form of a differential equation.

 

Sketching slope fields

Sketch several possible solution curves on a given direction field.

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