(a)[8]
Find a relation between $x$ and $y$ by solving the differential equation.
(b)[2]
When $0 < y < \frac{1}{2}\pi$, determine the values of $y$ for $x = 0$.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The variables $x$ and $y$ are linked by the differential equation $\sin 4y \frac{dy}{dx} = x \sin 2y \sin 3x$. It is also stated that $y = \frac{1}{12}\pi$ when $x = \frac{1}{2}\pi$.