First-order differential equations
Solve separable and first-order linear ODEs using integrating factors; model real-world problems
What you'll learn
- 1
Imagine you're driving a 🚗 and your speed changes every second — the speedometer shows your speed, but what if you want to know how fast your speed is changing? That's a differential equation!
- 2
What does a differential equation tell us about?
- 3
Let's solve a simple one: dy/dx = 2x. Drag the antiderivative pieces together to build the solution!
- 4
Solve dy/dx = 3x² step by step.
- 5
What is the general solution to dy/dx = 4x³?
- 6
Now you try: solve dy/dx = 6x. Use the slider to find the antiderivative!
- 7
The solution to dy/dx = 6x is y = ?
Practise First-order differential equations with Whizlo
Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 16–18. Aligned to the UK National Curriculum.