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Differential equation (dy)/(dx)=f(x)g(x)...

Differential equation `(dy)/(dx)=f(x)g(x)` can be solved by separating variable `(dy)/g(y)=f(x)dx.`
Solution of the differential equation `(dy)/(dx)+(1+y^(2))/(sqrt(1-x^(2)))=0` is

A

`tan^(-1)y+sin^(-1)x=C`

B

`tan^(-1)x+sin^(-1)y=C`

C

`tan^(-1)y*sin^(-1)x=C`

D

`tan^(-1)y-sin^(-1)x=C`

Text Solution

Verified by Experts

The correct Answer is:
A
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