If `sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3),` then prove that `(dy)/(dx)=(x^2)/(y^2)sqrt((1-y^6)/(1-x^6))`

If sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3),p rov et h a t(dy)/(dx)=(x^2)/(y^2)sqrt((1-y^6)/(1-x^6,) w h e r e-1x,1a n d-1

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

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

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

If sqrt(1-x^(4))+sqrt(1-y^(4))=k(x^(2)-y^(2)), prove that (dy)/(dx)=(x sqrt(1-y^(4)))/(y sqrt(1-x^(4)))

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

If sqrt((1-x^(6)))+sqrt((1-y^(6)))=a(x^(3)-y^(3)) , a is constant and (dy)/(dx)=f(x,y) sqrt(((1-y^(6))/(1-x^(6)))) , then

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