(a)[7]
Solve the differential equation, and express $y$ in terms of $x$.
(b)[1]
Find the value of $y$ when $x = 1$, and give your answer as $a - \ln b$, where $a$ and $b$ are integers.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The variables $x$ and $y$ are related by the differential equation $\frac{dy}{dx} = xe^{y-x}$, and $y=0$ when $x=0$.