Find the solution of the given initial value problem 56y" + 15y" + y' = 0, y(0) = −1, y'(0) = −2, y″(0) = 0.
Find the solution of the given initial value problem 56y" + 15y" + y' = 0, y(0) = −1, y'(0) = −2, y″(0) = 0.
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:Find the solution of the given initial value problem
56y" + 15y" + y = 0, y(0) = −1, y'(0) = −2, y″(0) = 0.
On paper, sketch the graph of the solution. How does the solution
behave as t ·∞?
y(t) =
=
As t→∞, y(t)
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