Finding eigenvalue-eigenfunction pair for L = ∂²/∂x² + ∂/∂x + 2

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chappyform
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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:

[itex]\textit{L}[/itex] = ([itex]\partial^2[/itex]/[itex]\partial[/itex]x) + ([itex]\partial[/itex]/[itex]\partial[/itex]x) + 2Id

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

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welcome to pf!

hi chappyform! welcome to pf! :wink:

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


Since the derivatives are only with respect to x, you don't really need the partial derivatives.
 
X89codered89X said:
what is 2Id?

twice the identity! :wink: