Help with Eigenfunctions: Find Eigenvalue-Eigenfunction Pair

[chappyform]

eigenfunctions. help!

I would be very grateful for any help on the following question:

Find any single eigenvalue-eigenfunction pair, with a real eigenvalue, for the
following operator:

$\textit{L}$ = ($\partial^2$/$\partial$x) + ($\partial$/$\partial$x) + 2Id

subject to the initial boundary conditions u(0)=u(pi)=0

 

[tiny-tim]

welcome to pf!

hi chappyform! welcome to pf!

show us what you've tried, and where you're stuck, and then we'll know how to help!

 

[HallsofIvy]

Since the derivatives are only with respect to x, you don't really need the partial derivatives.

 

[X89codered89X]

what is 2Id?

 

[tiny-tim]

what is 2Id?

twice the identity!