Let \(y=y\left(x\right)\) be the solution of the differential equation \(x\frac{dy}{dx}−y={x}^{2}\text{ }\cot \text{ }x,…

Let \(y=y\left(x\right)\) be the solution of the differential equation \(x\frac{dy}{dx}−y={x}^{2}\text{ }\cot \text{ }x,\text{  }x\text{ }\in \text{ }\left(0,\text{ }\pi \right).\) If \(y\left(\frac{\pi }{2}\right)\text{ }=\text{ }\frac{\pi }{2},\) then \(6y\left(\frac{\pi }{6}\right)\text{ }−8y\text{ }\left(\frac{\pi }{4}\right)\) is equal to:

[JEE Main 2026, 28 Jan (Shift 2)]