Let y=y(x) be the solution of the differential equation \sec ^2 x \dx+ (e^{2 y} \tan ^2 x+\tan x) d y=0 0< x< \frac{\pi}{2}, y (\frac{\pi}{4}) =0 . \text{ If } y (\frac{\pi}{6}) =\alpha Then {\e}^{8 \alpha} is equal to [31-Jan-2024 Shift 2]

Differential Equations Part 2

Section: Mathematics

Question : 20 of 100

Marks: +1, -0

Let y=y(x) be the solution of the differential equation
sec2x‌dx+(e2ytan2x+tan‌x)dy=0
0<x<‌

,y(‌

)=0.‌ If ‌y(‌

)=α
Then e8α is equal to

[31-Jan-2024 Shift 2]

Go to Question:

Prev Question

Next Question