Let y=y(x) be the solution of the differential equation x^4 d y+ (4 x^3 y+2 \sin x) \dx=0, x > 0, y (\frac{\pi}{2}) =0. Then \pi^4 y (\frac{\pi}{3}) is equal to : [23 Jan 2026 Shift 1]

Differential Equations Part 3

Section: Mathematics

Question : 4 of 34

Marks: +1, -0

Let y=y(x) be the solution of the differential equation x4dy+(4x3y+2sin‌x)‌dx=0,x>0,y(‌

)=0.
Then π4y(‌

) is equal to :

[23 Jan 2026 Shift 1]

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