Let y=y(x) be the solution of the differential equation \frac{d y}{d x}=\frac{(\tan x)+y}{ \sin x( \sec x- \sin x \tan x)}, {\x} \in (0, \frac{\pi}{2}) satisfying the condition {\y} (\frac{\pi}{4}) =2. Then, {\y} (\frac{\pi}{3}) is [31-Jan-2024 Shift 1]

Correct Answer is : √3(2+loge√3)

\sqrt{3} (2+\log _{ {\e}} \sqrt{3})

{\sqrt{3}}/{2} (2+\log _{ {\e}} 3)

JEE Main 31-Jan-2024 Shift 1 Solved Paper

Section: Mathematics

Question : 11 of 90

Marks: +1, -0

Let y=y(x) be the solution of the differential equation ‌‌‌

=‌

(tan‌x)+y

sin‌x( secx−sin‌x‌tan‌x)

, x∈(0,‌

) satisfying the condition y(‌

)=2.
Then, y(‌

) is

[31-Jan-2024 Shift 1]

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