`xdy/dx=sqrt(1-y^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),p rov et h a t(dy)/(dx)=sqrt((1-y^2)/(1-x^2))

If y(x) is a solution of differential equation sqrt(1-x^2) dy/dx + sqrt(1-y^2) = 0 such that y(1/2) = sqrt3/2 , then

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))

The solution of the equation xdy-ydx=sqrt(x^2-y^2)dx subject to the condition y(1)=0 is (A) y=xsin(logx) (B) y=x^2 sin(logx) (C) y=x^2(x-1) (D) none of these

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

dy/dx + sqrt(((1-y^2)/(1-x^2))) = 0

Show that the given differential equation xdy-ydx=sqrt(x^(2)+y^(2)) dx is homogenous and solve it.

The solution of (xdx+ydy)/(xdy-ydx)=sqrt((a^(2)-x^(2)-y^(2))/(x^2+y^(2))), is given by