HSC differential equations Extension 2 asks you to model real-world situations with first-order ordinary differential equations, then solve them using separation of variables, integrating factors, or substitution techniques.
What Extension 2 expects
- Formulating differential equations from word problems
- Separation of variables — dy/dx = f(x)g(y)
- First-order linear ODEs and integrating factors
- Direction fields and qualitative behaviour of solutions
- Applications: growth and decay, cooling, mixing, resisted motion
Differential equations booklet
HSC Differential Equations on Vu's Maths Hub provides methods, modelling examples, and step-by-step Extension 2 worked solutions.
Study alongside
- HSC Mechanics — many mechanics problems reduce to ODEs
- HSC Integrals — integration techniques for solving ODEs
- HSC Functions — understanding solution curves
Free NESA-aligned HSC Maths booklets for NSW Year 12 — Extension 2 past paper practice and revision at vumaths.com.
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