Particular Solutions (AQA A-Level Mathematics): Flashcards

An equation involving a differential like $\frac{dy}{dx}$

Eliminating the differential by integration

Solution to a differential equation containing constant $+c$

Solution where the value of $c$ is determined

Put $x$'s with $dx$, $y$'s with $dy$

$\ln|y| + c$

$\ln|f(x)| + c$

Only need one $c$ when integrating both sides

$a = kb$ (where $k$ is constant)

Use negative sign (e.g., $\frac{dx}{dt} = -k\sqrt{x}$)