" 5."(dy)/(dx)+(sqrt((x^(2)-1)(y^(2)-1)))/(xy)=0

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

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

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

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

Solve the following differential equations. (i) (dy)/(dx) =(1+y^(2))/(1+x^(2)) (ii) (dy)/(dx) = (sqrt(1-y^(2)))/(sqrt(1-x^(2))) (iii) (dy)/(dx) = 2y tan hx (iv) sqrt(1+x^(2))dx + sqrt(1+y^(2))dy = 0 (v) (dy)/(dy) = e^(x-y)+x^(2)e^(-y)

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

The solution of (dy)/(dx)=(x^(2)+y^(2)+1)/(2xy) satisfying y(1)=0 is given by