Stuck on an integration problem

msd1997

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Apr 22, 2021
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Question- find the integral of (y^2-1)dx-2dy=0
My approach has been to separate x term on one side and y term on another side..
But then I do not know how to integrate 2dy/(y^2-1).
Please help, and do mention the final answer.
 
Question- find the integral of (y^2-1)dx-2dy=0
My approach has been to separate x term on one side and y term on another side..
But then I do not know how to integrate 2dy/(y^2-1).
Please help, and do mention the final answer.
Hint:

2/(y^2 - 1) = 1/(y - 1) - 1/(y + 1)

Continue ....
 
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