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Solve the following.
Solve the differential equation: (dy)/(dx) = cosec y
Solve the differential equation:
$\frac{dy}{dx} = \operatorname{cosec} y$
Answer
Answer
$\frac{dy}{dx} = \operatorname{cosec} y$
Separating variables: $\sin y\,dy = dx$
Integrating: $-\cos y = x + c$
Hence $x + \cos y = C$.
Final answer: $x + \cos y = C$