Lecture 7 Notes

# Method of undetermined coefcients 35 method of

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: are part of the g(t) family (e.g. cos and sin) • If part of the g(t) family is a solution to the homogeneous (h-)problem, use t x (g(t) family). • If t x (part of the g(t) family), is a solution to the h-problem, use t2 x (g (t) family). etc. • For sums, group terms into families and include a term for each. • For products of families, use the above rules and multiply them. Method of undetermined coefﬁcients (3.5) • Summary - ﬁnding a particular solution to L[y] = g(t). • Include all functions that are part of the g(t) family (e.g. cos and sin) • If part of the g(t) family is a solution to the homogeneous (h-)problem, use t x (g(t) family). • If t x (part of the g(t) family), is a solution to the h-problem, use t2 x (g (t) family). etc. • For sums, group terms into families and include a term for each. • For products of families, use the above rules and multiply them. • If your guess includes a solution to the h-problem, you may as well remove it as it won’t survive L[ ] so you won’t be able...
View Full Document

## This note was uploaded on 02/12/2014 for the course MATH 256 taught by Professor Ericcytrynbaum during the Spring '13 term at UBC.

Ask a homework question - tutors are online