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Let y=y(x) be the solution of the differ...

Let `y=y(x)` be the solution of the differential equation `sec^(2)xdx+(e^(2y)tan^(2)x+tan x)dy=0,0 lt x lt (pi)/(2),` `y(pi/4)=0` .If `y(pi/6)=alpha` ,then `e^(8a)` is equal to:

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