Lecture 7 Notes

Method of undetermined coefcients 35 method of

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

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