Linear equations with constant coefficients, find the general solution, y, of the follow а. у" — 6у" + 9у %3D 0, b. y" — Зу' + 2у %3D0 с. у" + 16у %3D 0 d. y" - бу" + 25у' %3D 0 е. у" — 16у%3D 0 f. y" - бу' + 25у %3D 0 y(0) = -3, y'(0) = –1 - %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Linear equations with constant coefficients, find the general solution, y. of the following:
а. у" - бу' + 9у — 0,
b. y" — Зу" + 2у %3D 0
c. y" + 16y = 0
d. y" — 6у" + 25у' %3D 0
е. у" — 16у %3D0
f. y" - бу" + 25у — 0
У (0) %3D — 3, у'(0) — — 1
Transcribed Image Text:Linear equations with constant coefficients, find the general solution, y. of the following: а. у" - бу' + 9у — 0, b. y" — Зу" + 2у %3D 0 c. y" + 16y = 0 d. y" — 6у" + 25у' %3D 0 е. у" — 16у %3D0 f. y" - бу" + 25у — 0 У (0) %3D — 3, у'(0) — — 1
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