First Order Differential Equations (Edexcel A-Level Further Mathematics): Quizzes

An equation relating a function and derivatives

ODEs have one variable, PDEs have multiple

Ordinary differential equations

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

By separating variables and integrating

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

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

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

$M(x,y)dx + N(x,y)dy = 0$

$\frac{\partial M}{\partial y} = \frac{\partial N}{\partial x}$