H2 Maths Differential Equations | Free Notes
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H2 Maths differential equations notes: step-by-step solutions for separable DEs, given substitutions, and modelling with exam techniques.
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- Quick DE map
- First-Order Separable Equations
- Reducing to Separable Form (Given Substitution)
- Modelling with Differential Equations
Q: What does H2 Maths Notes (JC 1-2): 5.5) Differential Equations cover?
A: Separable differential equations, given-substitution workflows, and modelling techniques for H2 Maths Topic 5.5.
Before you revise
Recognise when a DE is separable (or can be made separable via a given substitution). Separate variables cleanly, integrate both sides, apply initial conditions, then verify by differentiating your final solution.
Quick DE map
| If you have... | Walk away with this | First action |
| 1 second | A differential equation links a quantity to its rate of change. | Identify the variables. |
| 10 seconds | Separable equations need x terms on one side and y terms on the other. | Rearrange before integrating. |
| 100 seconds | Initial conditions turn a general solution into one specific model. | Substitute the given point after integration. |
Concrete example: If temperature changes according to its gap from room temperature, define that gap first. The solution should move toward room temperature, not away from it.
Status: SEAB's current H2 Mathematics (9758) syllabus PDF is labelled for 2026. Topic 5.5 focuses on first-order DEs of the form
