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Question
Find the general solution of the differential equation `dy/dx + sqrt((1-y^2)/(1-x^2)) = 0.`
Solution
`dy/dx + sqrt((1 - y^2)/(1 - x^2)) = 0`
`=> dy/dx = - sqrt((1 - y^2)/(1 - x^2))`
`dy/sqrt(1 - y^2) + dx/sqrt(1 - x^2) = 0`
On integrating
sin-1 y + sin-1 x = C
which is the required solution.
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