For each of the differential equations given, find a particular solution satisfying the given co...

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For each of the differential equations given, find a particular solution satisfying the given condition:
\( \mathrm{P} \) \( \frac{d y}{d x}-3 y \cot x=\sin 2 x ; y=2 \) when \( x=\frac{\pi}{2} \)

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