the question 3 of past midterm says the following for using undetermined coefficient method on Euler equation:

Bonus

No: For Euler ODE the method of undetermined coecients requires the

right hand side to be P(ln t)tm , while it applies with P(t)emt (where in both

cases P(x) is a polynomial in x) only when the coecients of the ODE are

constants.

Can somebody help me to understand the solution to it.