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

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

The solution of the differential equation x(dy)/(dx) = 2y + x^(3)e^(x), where y = 0 when x = 1 is

The solution of the differential equation x(dy)/(dx) + 2y = x^2 (X ne 0) with y(1) =1, is :

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

The solution of the differential equation (dy)/(dx)=x^2 + sin 3x is

The solution of the differential equation x(dy)/(dx)=y ln ((y^(2))/(x^(2))) is (where, c is an arbitrary constant)

Solution of differential equation x(dy)/(dx)=y+x^2 is

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

The solution of the differential equation x(dy)/(dx)=-(y)/(2)-(sin2x)/(2y) is given by