Rates of change, first order differential equations, and motion described by a differential relationship.
These are the statements the Mathematics Extension 2 syllabus makes about Differential Equations. Dux records each one against the questions you answer, so you can see which of them you have actually been tested on and which have never been asked.
Translating a stated rate into a differential equation, including where the rate depends on the quantity itself.
Separable equations, the use of an integrating factor, and determining constants from initial conditions.
Describing motion when acceleration is given as a function of displacement or velocity rather than time.
HSC Mathematics Extension 2 - Trial Paper Shape is 100 marks in 180 minutes. Questions on Differential Equations are not one shape repeated: the command word decides what the marker is looking for, and the mark value decides how much of it. These are the ones Mathematics Extension 2 uses.
Dux writes practice for this module in exactly these shapes, so the drill is the same task the paper sets — not a general knowledge quiz with the module name on it.
Differential Equations is module 4 of 6 in Mathematics Extension 2. Students routinely lose marks because a question spans two modules, so the neighbouring modules are worth reading next to this one.
Dux diagnoses Mathematics Extension 2 dot point by dot point, then writes questions in the shape this course marks. Written answers come back marked against the bands.