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The solution of the differential equatio...

The solution of the differential equation `(x(dy)/(dx) - y)/(sqrt(x^(2) - y^(2))) = 10x^(2)` is a)`sin^(-1)((y)/(x)) - 5x^(2) = C` b)`sin^(-1)((y)/(x)) -5x^(2) = C` c)`(y)/(x) = 5x^(2) + C`d)`sin^(-1)((y)/(x)) = 10x^(2) + Cx`

A

`sin^(-1)((y)/(x)) - 5x^(2) = C`

B

`sin^(-1)((y)/(x)) - 5x^(2) = C`

C

`(y)/(x) = 5x^(2) + C`

D

`sin^(-1)((y)/(x)) = 10x^(2) + Cx`

Text Solution

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The correct Answer is:
A
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