Let y=y(x) be the solution curve of the differential equation \sin (2 x^2) \log _e(\tan x^2) d y+(4 x y-4 \sqrt{2} x \sin (x^2-\frac{\pi}{4})) d x=0,0 < x < \sqrt{\frac{\pi}{2}}, which passes through the point (\sqrt{\frac{\pi}{6}}, 1). Then |y(\sqrt{\frac{\pi}{3}})| is equal to ________. [27-Jul-2022-Shift-1]

Differential Equations Part 2

Section: Mathematics

Question : 67 of 100

Marks: +1, -0

Let y=y(x) be the solution curve of the differential equation
sin(2x2)‌loge(tan‌x2)‌d‌y+(4xy−4√2x‌sin(x2−‌

))dx=0,0<x<√‌

, which passes through the point (√‌

,1). Then |y(√‌

)| is equal to ________.

[27-Jul-2022-Shift-1]

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