The solution to the differential equation `ylogy+x y^(prime)=0,` where `y(1)=e ,` is

A solution of the differential equation y'=y is

The solution of the differential equation y'+y=0 is ….....

The solution of the differential equation ydx+ (x +x^2 y) dy =0 is

The solution of the differential equation (xy^4 + y) dx-x dy = 0, 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 solution of the differential equation, dy/dx=(x-y)^(2) , when y(1)=1, is

The solution of the differential equation (x^2y^2-1)dy+2xy^3dx=0 is

The solution of the differential equation y^(prime prime prime)-8y^(prime prime)=0, where y(0)=1/8,y^(prime)(0)=0,y^(prime prime)(0)=1 , is

The general solution of the differential equation (y dx - x dy)/(y ) = 0 is