Mathematics

Mathematics

Problem

If the solution y(x)y(x) of the given differential equation (ey+1)cos⁡x dx+eysin⁡x dy=0(e^y + 1) \cos x\, dx + e^y \sin x\, dy = 0 passes through the point (π2,0)(\frac{\pi}{2}, 0), then the value of ey(π6)e^y(\frac{\pi}{6}) is equal to ______. ![](![Bookmark icon](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/0efe41f491144c0aa58a5382b5156eb6/30a26f2d17ca95672702bf50fb4f0242_img.jpg))

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