g (x)]
or
g(x) dy
dx  + P g(x) y = g(x) dy
dx  + y g′ (x)
⇒
P g(x) = g′ (x)
or
P =
( )
( )
g
x
g x
′
Integrating both sides with respect to x, we get
∫Pdx
 =
( )
( )
g x dx
′g x
∫
or
P dx
∫⋅
 = log(g (x))
or
g(x) =
P dx
e∫
On multiplying the equation (1) by g(x) = 
e∫P dx
, the L H