Mathematics

Mathematics

Problem

If y=y(x)y = y(x) is the solution of the differential equation dydx+2y=sin⁡(2x)\frac{dy}{dx} + 2y = \sin(2x) , y(0)=34y(0) = \frac{3}{4} , then y(π8)y(\frac{\pi}{8}) is equal to: ![](![](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/4b901cfe3c794b73a593ddaf74e8f4c0/84a1d09fb489061482111515543b60dc_img.jpg)) 10% eπ/8e^{\pi/8} 25% eπ/4e^{\pi/4} 57% e−π/4e^{-\pi/4} 7% e−π/8e^{-\pi/8}

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