dÝ 1 3 Given the initial value problem (-25 ),r(0) = (²³₂) dt -25 -7 eigenvalue λ = -2, find the general solution in terms of the initial conditions. Write your solution in component form where Ÿ (t) = ((1)). y(t) Be sure to PREVIEW your answers before submitting! x(t): y(t) = = = whose matrix has a repeated

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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dÝ
3
Given the initial value problem
17) X, Y (0)
- (-²₂)
=
dt
eigenvalue X = -2, find the general solution in terms of the initial conditions.
your solution in component form where Ÿ (t) = ((1)).
W
y(t)
Be sure to PREVIEW your answers before submitting!
x(t)
=
=
- (-25
x(t) Preview:
y(t) Preview:
-25 -7
whose matrix has a repeated
Transcribed Image Text:dÝ 3 Given the initial value problem 17) X, Y (0) - (-²₂) = dt eigenvalue X = -2, find the general solution in terms of the initial conditions. your solution in component form where Ÿ (t) = ((1)). W y(t) Be sure to PREVIEW your answers before submitting! x(t) = = - (-25 x(t) Preview: y(t) Preview: -25 -7 whose matrix has a repeated
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