Differential Equations (AQA A-Level Mathematics): Flashcards

Physics, biology, economics, engineering

Identify dependent & independent variables

Current population size

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

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

Population grows exponentially

Temperature difference from room temp

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

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

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