The genral solution of (dy)/(dx)=sqrt(1-...

The genral solution of `(dy)/(dx)=sqrt(1-x^(2)-y^(2)+x^(2)y^(2))` is

A

`sin^(-1)y=xsqrt(1-x^2)+sin^(-1)x+c`

B

`Cos^(-1)y=xCos^(-1)x+c`

C

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

D

`2sin^(-1)y=xsqrt(1-y^2)+c`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

The general solution of dy/dx = 2xe^(x^(2)-y) is

The general solution of dy/dx + sqrt((1-y^(2))/(1-x^(2))) = 0 is

The solution of dy/dx = 2^(y-x) is

The particular solution of (y)/(x)(dy)/(dx)=(1+y^(2))/(1+x^(2)) when x=1 y=2 is

The general solution of the differential equation sqrt(1-x^(2)y^(2)).dx =y.dx+ x.dy is

The solution of x dx + y dy = x^(2)y dy - xy^(2) dx is

The particular solution of y/x(dy)/(dx)=(1+y^2)/(1+x^2) , when x = 1 , y = 2 is :