Analytical Method to Solve IVP d²v + + 3t = 0,where v(0) = 1, v' (0) = 0, v > 0. The variables v and t are related by the differential equation dt2 dt dv Solve for v in terms of t by setting z = v- dt 2.
Analytical Method to Solve IVP d²v + + 3t = 0,where v(0) = 1, v' (0) = 0, v > 0. The variables v and t are related by the differential equation dt2 dt dv Solve for v in terms of t by setting z = v- dt 2.
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:Analytical Method to Solve IVP
d²v
The variables v andt are related by the differential equation
(dv?
+
dt
+ 3t = 0,where v(0) = 1, v (0) = 0, v > 0.
dt2
dv
Solve for v in terms of t by setting z = v
dt
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