The solution can be written in the form d'y dt² 14 dy dt +49y0 y=C₁fi(t) + C₂fz(t)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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Question
Find the general solution to the homogeneous
![The solution can be written in the form
with f₁ (t) =
and f₂ (t)
your answers so that the functions are normalized with f₁(0) = 1 and f₂(0) = 0.
d²y
dt²
14 +49y = 0
dt
y = C₁f₁(t) + C₂ f2(t)
Left to your own devices, you will probably write down the correct answers, but in case you want to quibble, enter](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fccc4b4bb-a94d-4dc4-be7d-92733a14ab19%2Fdfd912fb-2dcb-4dd3-b3ff-d47f1ab572e9%2Fvw0lia_processed.png&w=3840&q=75)
Transcribed Image Text:The solution can be written in the form
with f₁ (t) =
and f₂ (t)
your answers so that the functions are normalized with f₁(0) = 1 and f₂(0) = 0.
d²y
dt²
14 +49y = 0
dt
y = C₁f₁(t) + C₂ f2(t)
Left to your own devices, you will probably write down the correct answers, but in case you want to quibble, enter
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