My professor gave a method for finding the non-homogeneous equation:
C = concentration in tank
F = flow rate into and out of the tank
V = volume in tank
$C_0$ = Concentration of liquid going into the tank
His method is as follows:
Try solution $C=A$, constant
Can somebody please explain to changing 'C' to the constant 'A' leads to the solution for the non-homogeneous part of the equation? Why does this work?