1. The problem statement, all variables and given/known data Find the general solution of the differential equation, y' + y = be^(-λx) where b is a real number and λ is a positive constant. 2. Relevant equations y' + P(x)y = Q(x) Integrating factor: e^(∫P(x) dx) 3. The attempt at a solution Let P(x) = 1, Q(x) = be^(-λx) The equation is already in the form y' + P(x)y = Q(x). So, the integrating fator is I(x) = e^(∫1 dx) = e^(x) Multiplying both sides by the integrating factor. e^(x)y + e^(x)y = be^(-λx)e^(x) (e^(x)y)' = be^(-λx)e^(x) Now integrating the left hand side, e^(x)y = be^(-λx)e^(x) Here is my problem. I don't know where to go from here. How do I integrate the right hand side? That's my main problem. Any help will be greatly appreciated.