The auxiliary equation for the differential equation y" – 4y" – 12y = 0 - is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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The auxiliary equation for the differential
equation
y" – 4y" – 12y' = 0
is
Select one:
m? – 4m? – 12 = 0
None of the others
m
– 4m? – 12m = 0
%3D
|
m – 4m? + 12m = 0
O m³ + 4m2 + 12m :
%3D
Transcribed Image Text:The auxiliary equation for the differential equation y" – 4y" – 12y' = 0 is Select one: m? – 4m? – 12 = 0 None of the others m – 4m? – 12m = 0 %3D | m – 4m? + 12m = 0 O m³ + 4m2 + 12m : %3D
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