# What is a solution to the differential equation #dy/dx =( 2csc^2 x)/ (cot x)#?

The equation simplifies:

Separate variables:

Integrate:

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Now integrate both sides:

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The solution to the differential equation ( \frac{dy}{dx} = \frac{2 \csc^2 x}{\cot x} ) is ( y = -2 \cot x + C ), where ( C ) is the constant of integration.

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