1. The problem statement, all variables and given/known data 2. Relevant equations From the lecture notes: "To study the Sturm-Louiville operator Ls in greater detail, we first need to determine it's adjoint operator, denoted by Ls†. [...] The adjoint of the Sturm-Louiville operator satisfies the relationship <Lsy1,y2>=<y1,Ls†y2>, where y1 and y2 are two arbitrary functions satisfying the prescribed boundary conditions." 3. The attempt at a solution I went straight ahead and tried to find the adjoint of the Sturm-Louiville operator. It got really messy, and I'm wondering whether there's something obvious that I'm missing.