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

When all $y$ terms can go on one side

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

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

The constant of integration $C$

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

Exponentiate both sides

$y = C_1 e^{\frac{x^2}{2}}$

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

Solution not solved explicitly for $y$

Growth and decay, motion, fluid flow