Final answer:
The guess Y(t) in the method of undetermined coefficients depends on the non-homogeneous part of the differential equation.
Step-by-step explanation:
The method of undetermined coefficients is used to find a particular solution to a differential equation. In order to determine the guess Y(t), we need to look at the non-homogeneous part of the differential equation. For example, if the non-homogeneous part is a polynomial of degree n, then our guess for Y(t) would be a polynomial of degree n.