(adsbygoogle = window.adsbygoogle || []).push({}); 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?

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# Homework Help: Differential equation

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