The problem statement, all variables and given/known data Verify that the general solution satisfies the differential equation. Then find the particular solution that satisfies the initial condition. y=C1+C2 lnx xy'' + y' = 0 y=0 when x=2 y'=(1/2) when x=2 The attempt at a solution Here's what I did so far.... y=C1+C2 lnx y'=C1+C2(1/x) y''=C1+C2(-1/x^2) Since xy''+y'=0 I then substituted y' and y'' into the equation. x(C1+C2(-1/x^2))+(C1+C2(1/x))=0 After this step I am stuck. If you could help push me in the right direction that would be great. Also could you verify that what I already did is right?