The solution of the equation `(dy)/(dx)=(x(2logx+1))/(siny+ycosy)` is

The solution of the equation (dy)/(dx)=cos(x-y) is

The general solution of the equation (dy)/(dx)=1+x y is

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

The solution set of the equation x^(log_x(1-x)^2)=9 is

If the solution of the differential equation (dy)/(dx)=1/(xcosy+sin2y) is x=c e^(siny)-k(1+siny), then the value of k is_______

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

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

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

Solve the equation (dy)/(dx)+1/x=(e^y)/(x^2)