Consider the differential equation dy/dx = 5 – y.

Consider the differential equation dy/dx = 5 – y.
(a) Either by inspection or by the method suggested in Problems 33–36, find a constant solution of the DE.
(b) Using only the differential equation, find intervals on the y-axis on which a nonconstant solution y = f(x) is increasing. Find intervals on the y-axis on which y = f(x) is decreasing.