General solution of differential equation dy / DX = e ^ 2x-y

General solution of differential equation dy / DX = e ^ 2x-y

Its form is y '+ F (x) y = g (x), the first order linear differential equation, first find the solution of the second equation y' + y = 0, easy to get y = CE ^ (- x) let C = u (x), y = UE ^ (- x), y '= u'e ^ (- x) - ue ^ (- x) into u'e ^ (- x) = e ^ (2x), u' = e ^ (3x), u = e ^ (3x) / 3 + CY = UE ^ (- x) = e ^ (2x) / 3 + CE ^ (- x)