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Solve the differential equation, then calculate the value of $y$ for $x = \frac{\pi}{4}$.
Mathematics 9709 · AS & A Level · Differential equations
Differential equations — practice question
The variables $x$ and $y$ obey the differential equation $\frac{dy}{dx} = e^{-2y}\tan^2 x$, for $0 \le x < \frac{\pi}{2}$, and you are told that $y = 0$ when $x = 0$.