" 3."quad (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 differential equation (dy)/(dx)+((1+y^(3)))/(xy^(2)(1+x^(2)))=0

(3xy+y^(2))dx+(x^(2)+xy)dy=0

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

The function y=f(x) is the solution of the differential equation (dy)/(dx)+(xy)/(x^(2)-1)=(x^(4)+2x)/(sqrt(1-x^(2))) in (-1, 1) satisfying f(0)=0 . Then underset((-sqrt(3))/(2))overset((sqrt(3))/(2))intf(x)dx is

The function y=f(x) is the solution of the differential equation (dy)/(dx)+(xy)/(x^(2)-1)=(x^(4)+2x)/(sqrt(1-x^(2)))in(-1,1) satisfying f(0)=0. Then int_((sqrt(3))/(2))^((sqrt(3))/(2))f(x)dx is

Solution of the differential equation x((dy)/(dx))^(2)+2sqrt(xy)(dy)/(dx)+y=0 ,is