Differential Equation Solution and Evaluation (…

First Order Differential Equations

Medium

Differential Equation Solution and Evaluation

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

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