x sqrt(y^(2)-1)dx-y sqrt(x)dy

Solve the following differential equation: x sqrt(1-y^(2))dx+y sqrt(1-x)dy=0

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

If x sqrt(1-y^(2))+y sqrt(1-x^(2))=k , then the value of (dy)/(dx) at x=0 is -

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

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

(dy)/(dx)=(sqrt(x^(2)-1))/(sqrt(y^(2)-1))

If y=(x^(2))/(2)+(x)/(2) sqrt(x^(2)+1)+log sqrt(x+sqrt(x^(2)+1)) , prove that, 2y=x (dy)/(dx)+log((dy)/(dx))

sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y),show(dy)/(dx)=sqrt((1-y^(2))/(1-x^(2)))

If x sqrt(1+y)+y sqrt(1+x)=0, find (dy)/(dx)* To prove (dy)/(dx)=-(1)/((1+x)^(2))

If x sqrt ( 1+ y) + y sqrt( 1+x) =0 , prove that (dy)/( dx) = - (1)/( (1+x)^2) .