Separation of Variables (Edexcel A-Level Mathematics): Quizzes

First-order differential equations

When $y$ & $x$ terms can be separated

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

Arrange $y$ terms one side, $x$ terms other

Integrate both sides

Constant of integration $C$

$\frac{1}{y} \, dy = x \, dx$

Exponentiate both sides

$(y + 1) \, dy = x \, dx$

Solution not explicitly solved for $y$