A note on Epasinghe's ''Euler's homogeneous differential equation - revisited'' (Q1078735)

Epasinghe recently published a compact integral form for the solution of Euler's homogeneous differential equation, \[ a_ nx^ n\frac{d^ ny}{dx^ n}+...+a_ rx^ r\frac{d^ ry}{dx^ r}+...+a_ 0y=f(\quad x). \] But the applicability of his method is not wide. A new and fast method for f(x) being a polynomial is presented in this note. Some illustrative examples are included.