Differential equation `(dy)/(dx)+(1)/(x)sin2y=x^(3)cos^(2)y` is represented by family of curves which is given by (where `C` is arbitrary constant)

The differential equation (dy)/(dx) = (x(1+y^(2)))/(y(1+x^(2)) represents a family of

Solution of differential equation sin y*(dy)/(dx)+(1)/(x)cos y=x^(4)cos^(2)y is

Solution of differential equation sin y*(dy)/(dx)=(1)/(x)cos y=x^(4)cos^(2)y is

If the general solution of the differential equation (dy)/(dx)=(y)/(x)+phi((x)/(y)) , for some functions phi is given by y ln|cx|=x, where c is an arbitrary constant then phi(2) is equal to

The solution of the differential equation (dy)/(dx)+(sin2y)/(x)=x^(3)cos^(2)y

The differential equation of the family of curves cy ^(2) =2x +c (where c is an arbitrary constant.) is:

Form the differential equation representing the family of curves y=mx ,where,m is arbitrary constant.

Form the differential equation representing the family of curves given by (x-a)^(2)+2y^(2)=a^(2) where a is an arbitrary constant.

Form the differential equation representing the family of curves y=a sin(x+b) where a,b are arbitrary constants.

Differential equation yy_(1)+x=A , where A is an arbitrary constant, represents a family of