(i)[7]
Solve the differential equation and write $y$ explicitly as a function of $x$.
(ii)[1]
Give a brief reason that $x$ may only be less than $1$.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The variables $x$ and $y$ obey the differential equation $\frac{dy}{dx} = x e^{x+y}$, and it is known that $y = 0$ when $x = 0$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Rearrange to separate the variables, then try to integrate one side” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI