DSolve[(a1+(a2+a3)E^(-2x))ρ'[x]+ρ[x](D[a1+(a2+a3)E^(-2x),x]+δ g/α)== -(δ m^2/α)b v*E^-x ,ρ,x]

Uh oh! Wolfram|Alpha doesn't run without JavaScript.

Please enable JavaScript. If you don't know how, you can find instructionshere.Once you've done that, refresh this page to start using Wolfram|Alpha.