(5)
Integrating both sides of equation (5), we get
( )
dv
g v
−v
∫
 =
1
C
xdx
+
∫ (6)
Equation (6) gives general solution (primitive) of the differential equation (1) when
we replace v by y
x �Note  If the homogeneous differential equation is in the form 
F( , )
dx
x y
dy =
where, F (x, y) is homogenous function of  degree zero, then we make substitution
x
y =v
 i e