I have a diff. equation given as;

$\displaystyle X{n+1} - \frac {{3}} {{2}}Xn + X{n-1} = n^{2} + 1$

$\displaystyle n > 1$

What is the general solution

$\displaystyle X^{s}{n}$

to the assosiated diff. equation?

Any help/pointers would be greatly appriciated!