What have you tried? Can you solve the "associated homogeneous equation", y''- 3y'+ 2y= 0?
\(\displaystyle (x+ 1)^{1/2}\) is NOT one of the kinds of functions we would expect as a solution to a "homogenous line equation with constant coefficients" so "undetermined coefficients" won't work. Do you know the method of "variation of parameters"? If that is what is causing difficulty, come back with the general solution to the "associated homogeneous equation" and I will help you with "variation of parameters".
