Modelling with Differential Equations (AQA A-Level Mathematics): Quizzes

Physics, biology, economics, engineering

Identify dependent & independent variables

$\frac{dP}{dt} = kP$

$P(t) = P_0 e^{kt}$

The population decays exponentially

$\frac{dT}{dt} = -k(T - T_r)$

The room temperature $T_r$

Second-order linear with constant coefficients

$\frac{d^2x}{dt^2} + \frac{k}{m}x = 0$

$\omega = \sqrt{\frac{k}{m}}$