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MathsJEE Main 23 Jan 2026, Shift 1·Q7·MCQ·Easy–moderate

Differential Equations · Exact differential equations

Let y=y(x)y = y(x) be the solution of the differential equation x4 dy+(4x3y+2sin⁡x) dx=0,x>0,y(π2)=0.x^4\,dy + (4x^3y + 2\sin x)\,dx = 0,\quad x > 0,\quad y\left(\frac{\pi}{2}\right) = 0. Then π4y(π3)\pi^4 y\left(\dfrac{\pi}{3}\right) is equal to:
  1. (1)81
  2. (2)92
  3. (3)64
  4. (4)72

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