Let y=y(x) be the solution of the differential equation If then

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Solution

Q.
Let y=y(x) be the solution of the differential equation $x \frac{d y}{d x} - y = x^{2} \cot x, x \in (0, π) .$ If $y (\frac{π}{2}) = \frac{π}{2},$ then $6 y (\frac{π}{6}) - 8 y (\frac{π}{4})$ is equal to: [2026]

1 $π$

2 $3 π$

3 $- π$

4 $- 3 π$

Ans.
(3)

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