1. The problem statement, all variables and given/known data Hi, I submitted this question on here the other day a user suggested some topics which might help so I have went away and tried this and this is what I have came up with. I just want to know what I have so far is right also I need help with integrating the rhs of the equation. The question is dy/dx + 0.8y = 0.6 e-1.4x y(0)=1 I have to solve the ODE to the given condition using exact methods and evaluate the solution y for x = 0.0 to x=0.5 in steps of 0.05. 2. Relevant equations dy/dx + P(x)y = Q(x) 3. The attempt at a solution so I my working so far is dy/dx + 0.8y = 0.6 e^-1.4x P(x) = 0.8 IF = e ^ ∫P(x) dx IF = e ^∫0.8 dx = e ^ 0.8x e0.8x* dy/dx + e0.8xy = e0.8x*0.6e-1.4x Therefore e0.8x = ∫ e0.8x*0.6e-1.4x This is where I get stuck. What I have done so far is this correct and what should I do to progress from this point? I don't understand how to do the integration on the rhs.