Find a particular solution of the differential equation

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

11. Find a particular solution of the differential equation `dydx+ycot⁡x=4xcosec⁡x(x≠0)\frac{d y}{d x}+y \cot x=4 x \operatorname{cosec} x (x \neq 0)`, given that `y=0y=0` when `x=π2x=\frac{\pi}{2}`.

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