Hello, I was just wondering if there is a particular integral for a second-order linear inhomogeneous differential equation which is equal to lnx.

I mean we are taught at university to use some particular integrals for some cases eg when we meet sinx, cosx, a polynomial, e^x but no one told us what to do if we find cotx, tanx, lnx, logx or any other function except of the three-four cases which are standard. Any reference for a complete list of particular integrals would be much appreciated!