Exact Solution for Linear ODE with Initial Condition

[longball]

Consider the ODE

dy/dx + 0.6y = 0.5e^(-(1.1)x) , y(0) = 4

solve the ODE subject to the given condition using exact methods and evaluate the solution y for x = 0.0 (0.05) 0.5, (i.e from x = 0 to x = 0.5 in steps of 0.05)

I am terrible with ODEs and would greatly appreciate help in rearranging and staring off this question. I am sure its not terribly difficult but to me it is. Thanks in advance.

 

[LCKurtz]

Well, it's linear so start by finding an integrating factor.