The equation of motion of a train is given by dv mk (1-e")-mcv dt m %3D where v is the speed, t is the time and m, k and c are constants. I eet e(c-1) (a) Show that ve = k +z by using Linear Differential Method. C с -1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The equation of motion of a train is given by
dv
mk (1-e")-.
m
%3D
- mcv
dt
where v is the speed, t is the time and m, k and c are constants.
(a)
Show that vet = k
ect
e'(c-1)
+z by using Linear Differential Method.
с -1
Transcribed Image Text:The equation of motion of a train is given by dv mk (1-e")-. m %3D - mcv dt where v is the speed, t is the time and m, k and c are constants. (a) Show that vet = k ect e'(c-1) +z by using Linear Differential Method. с -1
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