Mathematics 9709 · AS & A Level · Differential equations

Differential equations — practice question

The variables $x$ and $y$ are linked by the differential equation $\frac{dy}{dx} = xe^{x+y}$. It is given that $y = 0$ when $x = 0$.

(i)[7]

Solve the differential equation, expressing $y$ in terms of $x$.

(ii)[1]

Explain why $x$ can only be less than $1$.

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 and try to integrate” …