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Solve the differential equation and determine the exact value of $\tan \theta$ when $y = 1$.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The variables $y$ and $\theta$ are related by $(1 + y)(1 + \cos 2\theta) \dfrac{dy}{d\theta} = e^{3y}$. It is also given that $y = 0$ when $\theta = \dfrac{1}{4}\pi$.