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Solve the differential equation "dy=cos ...

Solve the differential equation `"dy=cos x(2-y cosec x)dx"` given that `y=2, "when x" d=(pi)/(2)`

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To solve the differential equation \( dy = \cos x (2 - y \csc x) dx \) with the initial condition \( y = 2 \) when \( x = \frac{\pi}{2} \), we will follow these steps: ### Step 1: Rewrite the Differential Equation We start with the given differential equation: \[ dy = \cos x (2 - y \csc x) dx \] Rearranging gives: ...
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