(a)[7]
Solve the differential equation and give an expression for $y$ in terms of $x$.
(b)[1]
State the behaviour of $y$ as $x$ tends to infinity. Give your answer in exact form.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The variables $x$ and $y$ obey the differential equation $\frac{dy}{dx} = \frac{4 + 9y^2}{e^{2x+1}}$. It is also given that $y = 0$ when $x = 1$.