Further Integration (Edexcel A-Level Mathematics): Flashcards

An equation involving an unknown function and its derivatives.

Equations involving the first derivative of a function.

The most general form, including arbitrary constants.

$\frac{dy}{dx} = f(x, y)$

Equations where variables can be separated on both sides.

Integrate both sides: $\int \frac{1}{h(y)} dy = \int g(x) dx$

$\frac{d^2y}{dx^2} + p(x) \frac{dy}{dx} + q(x)y = 0$

Solve the characteristic equation of the differential equation.

They represent the solutions to the differential equation.

$y(x) = C_1 e^{m_1 x} + C_2 e^{m_2 x}$