IB Maths AI HL Unit 5.18 Notes – Solutions of Second-Order Differential Equations

This IB Maths AI HL Unit 5.18 resource covers Solutions of Second-Order Differential Equations and is fully aligned with the Applications and Interpretation syllabus . Students develop understanding of second-order models, converting to first-order systems, Euler’s method for systems, and exact solutions using eigenvalues and eigenvectors.

The resource includes both a student copy and a teacher copy. The student version provides structured notes, guided Euler method tables, characteristic equations, and exam style extension questions. The teacher version contains fully worked solutions, eigenvalue calculations, and clear explanations of stability and phase portrait behaviour.

Ideal for IB Maths AI HL teachers completing Unit 5 calculus applications, this ready to use resource strengthens modelling skills, analytical reasoning, and exam preparation while saving valuable planning time.