MATH201 Lecture Notes - Lecture 20: Taylor Series, Minuscule 22, Ansatz

• School: University of Alberta
• Department: Mathematics
• Course: MATH201
• Professor: van

Document Summary

5, 2012: many examples here are taken from the textbook. In contrast, most interesting 2nd/higher order equations cannot be explicitly solved. Case 1: when right hand side is of special form such as pn(x) erx: undetermined coe cients, laplace transform. 1: methods we have for solving linear equations. (1) (2) (3) (4) (5) (6) (7) (8) Case 2: when right hand side is piecewise of the above special form, or is product of with a function of the above special form: laplace transform. It is important to understand that this is just another way of writing. If yes, write it in the compact form. One way to write it in compact form is an (x 3)n 3. There are in nitely many ways to write a power series into compact form. For example, below are all correct compact forms for the above power series: Xn=0 an+3 (x 3)n; xn=7 an 4 (x 3)n 7;