(a)[8]
Solve the differential equation to find an expression for $y$ in terms of $x$.
(b)[1]
State the limiting behaviour of $y$ as $x$ tends to infinity, and present your answer exactly.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The variables $x$ and $y$ are linked by the differential equation $x^2 \frac{dy}{dx} + y^2 + y = 0$. Also given is $x = 1$ when $y = 1$.