If y=y(x) is the solution of the differential equation \frac{d y}{d x}+(\tan x) y=\sin x, 0 \leq x \leq \frac{\pi}{3}, with y(0)=0, then y(\frac{\pi}{4}) is equal to [16 Mar 2021 Shift 2]

Correct Answer is : (12√2)loge2

(\frac{1}{2 \sqrt{2}) \log _{e} 2

Differential Equations Part 1

Section: Mathematics

Question : 29 of 100

Marks: +1, -0

If y=y(x) is the solution of the differential equation ‌

+(tan‌x)y=sin‌x,0≤x≤‌

, with y(0)=0, then y(‌

) is equal to

[16 Mar 2021 Shift 2]

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