$\displaystyle y''-2y'+y=xe^xlnx$
I don't know what I should do because of the logarithm function, the exercise has come after introducing the undetermined coefficients methods, so I assume it should be solved that way but I don't know how.
$\displaystyle y''-2y'+y=xe^xlnx$
I don't know what I should do because of the logarithm function, the exercise has come after introducing the undetermined coefficients methods, so I assume it should be solved that way but I don't know how.
well, that's obviously the general solutions of the homogenous question, but how to find $\displaystyle y_p$.
I don't know what the method of variation of parameters is, but I solved it through the method that we take $\displaystyle y_p = v_1y_1 + v_2y_2$ and then we look for $\displaystyle v_1,v_2$. It was finally solved but I wonder why the author has put it in the section of undetermined coefficients method, is it possible to solve this with that method too? I doubt.