The differential equation d²y dy +4- dx² dx + 4y = 0 has auxiliary equation = 0 with roots Therefore there are two fundamental solutions Use these to solve the IVP d²y dy +4- + 4y = 0 dx2 dx y(0) = -6 y'(0) = 6 y(x): =
The differential equation d²y dy +4- dx² dx + 4y = 0 has auxiliary equation = 0 with roots Therefore there are two fundamental solutions Use these to solve the IVP d²y dy +4- + 4y = 0 dx2 dx y(0) = -6 y'(0) = 6 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 14CR
Question
Transcribed Image Text:The differential equation
d²y
dy
+4-
dx²
dx
+ 4y = 0 has
auxiliary equation
= 0
with roots
Therefore there are two fundamental solutions
Use these to solve the IVP
d²y
dy
+4-
+ 4y = 0
dx2
dx
y(0)
= -6
y'(0) = 6
y(x):
=
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