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I have this ODE that I'm having problems with

y"+4y'+4y= e^(-2x)logx

Now, Using method of UC to get rid of the RHS I've tried using Ae^(-2x) x^2 logx

However, I'm not quite sure whether that is correct or not as I have never had a question containing logs before

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# Nonhomogeneous Second Order ODE containing log

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