JEE Main 202431 Jan, Evening shiftMathematicsMediumDifferential Equations163× since 2002Let y=y(x)y=y(x)y=y(x) be the solution of the differential equation sec2xdx+(e2ytan2x+tanx)dy=0,0<x<π2,y(π/4)=0\sec ^2 x d x+\left(e^{2 y} \tan ^2 x+\tan x\right) d y=0,0< x<\frac{\pi}{2}, y(\pi / 4)=0sec2xdx+(e2ytan2x+tanx)dy=0,0<x<2π,y(π/4)=0. If y(π/6)=αy(\pi / 6)=\alphay(π/6)=α, then e8αe^{8 \alpha}e8α is equal to ____________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
