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IB Maths AI AHL 5.14 - Models of Differential Equations Notes

IB Maths AI AHL 5.14 - Models of Differential Equations Notes

Subject: Mathematics

Age range: 16+

Resource type: Worksheet/Activity

Last updated

15 April 2026

pdf, 518.13 KB
pdf, 518.13 KB
pdf, 491.53 KB
pdf, 491.53 KB

This IB Maths AI HL AHL 5.14 – Models of Differential Equations notes resource builds clear, structured understanding of differential equation modelling and separation of variables.

Students learn how to translate contextual statements such as “rate of change” and “proportional to” into differential equations, recognise common models including exponential growth/decay and Newton’s Law of Cooling, and solve separable equations step-by-step. The notes guide learners through separating variables, integrating both sides, applying initial conditions to determine constants, and stating solutions with correct domains .

Designed for HL students, this resource strengthens modelling confidence, algebraic fluency, and clear mathematical communication, essential Higher Level skills for calculus applications and real-world modelling questions in the IB exam.

Updated 15/04/2026

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