Solve the given initial-value problem. dx dt -9x - y dy 16x - y dt x(1) = 0, y(1) = 1 = x(t) e-5(t-1) -5 (t+1) + te = y(t) = (4t - 3)e5-5t
Solve the given initial-value problem. dx dt -9x - y dy 16x - y dt x(1) = 0, y(1) = 1 = x(t) e-5(t-1) -5 (t+1) + te = y(t) = (4t - 3)e5-5t
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:Solve the given initial-value problem.
dx
dt
dy
16x - y
dt
x(1) = 0, y(1) = 1
-5(t-1)
x(t)
y(t)
=
=
e
= -9x - y
+ te
(4t-3) e5-5t
-5(t+1)
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