The differential equation - 24-8y = 0 has auxiliary equation da² with roots Therefore there are two fundamental solutions Use these to solve the IVP = 0 d²y dy 2 - 8y = 0 dx2 dx y(0) = 9 y'(0) = -8 y(x) =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 16CR
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The differential equation -2d-8y = 0 has auxiliary equation
d²y
dr²
with roots
Therefore there are two fundamental solutions
Use these to solve the IVP
= 0
d²y
dy
2
8y = 0
dx2
dx
y(0) = 9
y'(0) = −8
y(x) =
=
Transcribed Image Text:The differential equation -2d-8y = 0 has auxiliary equation d²y dr² with roots Therefore there are two fundamental solutions Use these to solve the IVP = 0 d²y dy 2 8y = 0 dx2 dx y(0) = 9 y'(0) = −8 y(x) = =
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,