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

Differential equation `(dy)/(dx)=f(x)g(y)` can be solved by separating variable `(dy)/g(y)=f(x)dx.`
The equation of the curve to the point (1,0) which satsifies the differential equation `(1+y^(2))dx=xydy=0` is

A

`x^(2)+y^(2)=1`

B

`x^(2)-y^(2)=1`

C

`x^(2)+y^(2)=2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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