Problem B.8 Beginning with y = emx, derive the auxiliary equation for each of the following differential equati each step. B.8.a. y' -y = o 6 B.8.b. 2y' +y = 0 В.8.c. у" — Зу' — бу %3D 0 В.8.d. Зy" + 5у'%3D 0

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Problem B.8
Beginning with y = emx, derive the auxiliary equation for each of the following differential equations. Show
each step.
B.8.a. y' -y = 0
6
B.8.b. 2y' +y = 0
В.8.c. у" — Зу' — бу %3D 0
В.8.d. Зy" + 5у'%3D 0
В.8.е. бу" — Зу%3D0
В.8.Г. у" — 4у" + 2у' — 2у %3D 0
Transcribed Image Text:Problem B.8 Beginning with y = emx, derive the auxiliary equation for each of the following differential equations. Show each step. B.8.a. y' -y = 0 6 B.8.b. 2y' +y = 0 В.8.c. у" — Зу' — бу %3D 0 В.8.d. Зy" + 5у'%3D 0 В.8.е. бу" — Зу%3D0 В.8.Г. у" — 4у" + 2у' — 2у %3D 0
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