Diff. Eq: Linear Eq. Method: I can't find the mistake I made

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The discussion revolves around a user struggling to identify a mistake in their solution to a linear differential equation. They express confusion over their incorrect answer and seek help in pinpointing the error. A respondent highlights that the user misapplied the sign in their integration of P(x), indicating the correct form should be P(x)=(-2/(x*log(x))). The user acknowledges the correction and expresses understanding. This exchange emphasizes the importance of careful attention to signs in differential equations.
Jeff12341234
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I must have made a mistake somewhere in these steps but I don't see it. The answer I got isn't the correct one. Where did I go wrong?

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Wow I'm sorry, but that's very hard for me to read. Could you post the question itself along with any initial conditions you were given?
 
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Does this make sense?
 
You've got the wrong sign on the P(x) you integrated. You did P(x)=2/(x*log(x)). It should be P(x)=(-2/(x*log(x))).
 
Thanks. I see it.
 

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