Solving & Interpreting Differential Equations (Edexcel A-Level Mathematics): Quizzes

$\frac{dy}{dx} = g(x)h(y)$

Separate variables to different sides

$\frac{dy}{dx} + P(x)y = Q(x)$

$e^{\int P(x) \, dx}$

$\frac{d^2y}{dx^2} + p\frac{dy}{dx} + qy = 0$

$y = e^{mx}$

Find particular solution from general

$y(t)$ tends to zero

Initial population

Nature of the characteristic roots