11. Show that the solution to the differential equation d²z dz dt² dt +B ·+w²z(t)= 0, ß₂w₁ = constants is given by __ ( B+√B²_40² )}; z(t) = c₁e 2 + ( B-√ B²_40²) + c₂e C₁,C₂= constants.
11. Show that the solution to the differential equation d²z dz dt² dt +B ·+w²z(t)= 0, ß₂w₁ = constants is given by __ ( B+√B²_40² )}; z(t) = c₁e 2 + ( B-√ B²_40²) + c₂e C₁,C₂= constants.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:11. Show that the solution to the differential equation
d²z
dz
dt²
dt
is given by
+
z(t) = c₁e
-+w²z(t) = 0,
+ c₂e
B,w₁ = constants
C₁, C₂ = constants.
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