14axe 5x need 3 unknowns to match all 3 terms 0 x e 2

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

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: yp (x) = 2Axe−5x − 5Ax2 e−5x ￿￿ yp (x) = 2Ae −5x − 10Axe −5x −10yp (x) = ￿ 3yp (x) ￿￿ yp (x) − 10Axe −5x + 25Ax e 2 −5x − 10Ax e 2 −5x = 6Axe −5x − 15Ax e 2 −5x = 2Ae−5x − 20Axe−5x + 25Ax2 e−5x 2Ae −5x Can’t find A that works! − 14Axe −5x +0 =x e 2 −5x Method of undetermined coefficients (3.5) y ￿￿ + 3y ￿ − 10y = x2 e−5x yp (x) = Ax2 e−5x ￿ yp (x) = 2Axe−5x − 5Ax2 e−5x ￿￿ yp (x) = 2Ae −5x − 10Axe −5x −10yp (x) = ￿ 3yp (x) ￿￿ yp (x) − 10Axe −5x + 25Ax e 2 −5x − 10Ax e 2 −5x = 6Axe −5x − 15Ax e 2 −5x = 2Ae−5x − 20Axe−5x + 25Ax2 e−5x 2Ae −5x Can’t find A that works! − 14Axe −5x Need 3 unknowns to match all 3 terms. +0 =x e 2 −5x Method of undetermined coefficients (3.5) y ￿￿ + 3y ￿ − 10y = x2 e−5x Method of undetermined coefficients (3.5) y ￿￿ + 3y ￿ − 10y = x2 e−5x yp (x) = Ax e 2 −5x + Bxe −5x + Ce −5x Method of undetermined coefficients (3....
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 The University of British Columbia.

Ask a homework question - tutors are online