Question

find the integrating factor that can be used in solving y'+2y=x.

Answer 1

first arrange it in the form dy/dx + P y = Q
and then identify P and Q

Answer 2

here P =2 and Q=x
IF = e^(integral of P dx)

Answer 3

here P=2
so integral of P dx =integral of 2 dx =2x
hence IF = e^(2x)