Construct Green's function for the differential equation

under the conditions that y(0) is bounded and y(l)=0.

1) The given differential equation is:
xy'' + y' = 0

2) To construct Green's function G(x,s), we need to solve the inhomogeneous equation:

xy'' + y' = δ(x-s)      (1) 

 subject to the boundary conditions:

y(0) is bounded
y(l) = 0

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