Particular Solutions (Edexcel A-Level Mathematics): Quizzes

An equation involving a differential

It contains a constant $c$

The value of $c$ is found

$y = \frac{x^3}{3} + \frac{3x^2}{2} - 2x + c$

When RHS has both $x$'s and $y$'s

Multiply both sides by $dx$

$\ln|y| + c$

Only on one side

$\frac{dx}{dt} = k\sqrt{x}$

$\frac{dx}{dt} = -k\sqrt{x}$