8.1.2.111 Second Order Differential Equations

Condition: Find a general solution to the differential equation \ (y^{\ prime \ prime} -2 y^{\ prime}+y = f (x), \ quad \) where \ (x) = x^{2} -x+2 \) and \ (\ (\ (\ (\ (\ (\ (\ ( f (x) = e^{x} (x+1) \).