Mathematics 9709 · AS & A Level · Differential equations

Differential equations — practice question

The variables $x$ and $y$ are related by the differential equation $(x^2 + 3)\frac{dy}{dx} = e^{3y}(x - 2)$. It is known that $y = 0$ when $x = 0$.

(main)[8]

Find the solution of the differential equation, and determine the value of $y$ when $x = 2$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Separate the variables accurately” …