This is part of the HSC Mathematics Extension 1 course under the topic: Applications of Calculus, in particular, differential equations.
In this post, we will learn to ketch 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.
