Separable differential equations and slope field analysis

What this note covers

1. What is a separable differential equation?
2. Separation of variables — the four-step method
3. Worked examples across integration types
4. Slope fields — construction and interpretation
5. Initial conditions and particular solutions
6. Tank-draining and Torricelli's law — a full contextual example
7. QCAA examination technique

7 sections · 14 key terms & formulas · 6 common mistakes