The solution of the differential equation `(dy)/(dx)=2xy` is

The solution of the differential equation (dy)/(dx)=xy+2y subject to the condition y=1 at x=1 is -

The solution of the differential equation (dy)/(dx) - (2xy)/(1 + x^(2)) = 0 is

The function y=f(x) is the solution of the differential equation (dy)/(dx)=(2xy+y^(2))/(2x^(2)) If f(1)=2, then the value of f((1)/(4)) is

The solution of the differential equation (dy)/(dx)=(xy)/(x^(2)+y^(2)) is

The solution of the differential equation (dy)/(dx)=(y^(2)+xlnx)/(2xy) is (where, c is the constant of integration)

The solution of the differential equation (dy)/(dx)=(y^(2)+xlnx)/(2xy) is (where, c is the constant of integration)

The solution of the differential equation (dy)/(dx) = 1/(xy[x^(2)siny^(2)+1]) is

The solution of the differential equation (dy)/(dx)=(1)/(xy[x^(2)sin y^(2)+1]) is