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Determine the $y$-coordinates of $A$ and $B$, giving each coordinate correct to $1$ decimal place.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
One particular solution of the differential equation $3y^2 \frac{dy}{dx} = 4(y^3 + 1)\cos^2 x$ satisfies $y = 2$ when $x = 0$. The diagram gives a sketch of the graph of this solution for $0 \leq x \leq 2\pi$; stationary points are marked at $A$ and $B$.