Slope Fields and Verifying Differential Equations is a part of the VCE Specialist Maths topic Calculus and subtopic 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
Curious about slope fields? Watch this video to have your questions answered.
How are Slope Fields and Differential Equations Related?
These next two videos will help you to understand the relation.
Want to learn more? Check out more of our VCE Mathematics resources here!