Differential Equations (AQA A-Level Further Maths): Quizzes

Contains only first derivative like $\frac{dy}{dx}$

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

1

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

When all $x$ and $y$ terms can be separated

Left side is derivative of a product

Contains constant $c$, represents family of curves

Use initial conditions to determine $c$

Use chain rule: $2u\frac{du}{dx}$

Decide on the method to use