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Solve the differential equation: dydx = cosec y - Mathematics

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Question

Solve the differential equation: 

`dy/dx` = cosec y

Sum
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Solution

Given `dy/dx` = cosec y

`dy/("cosec"  y)` = dx

`\implies int sin y  dy = int dx`

`\implies` – cos y = x + C

`\implies` x + cos y + C = 0

This is the required solution.

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