Write the given third order linear equation as an equivalent system of first order equations with initial values. 4y" + (-²) y + 3 cos(r) y = 2 sin(t) with Use x₁ = y. x₂ = y, and x3 = y". 11 with initial values If you don't get this in 2 tries, you can get a hint. (2) = 3, y(2) = 0, y' (2) = 0
Write the given third order linear equation as an equivalent system of first order equations with initial values. 4y" + (-²) y + 3 cos(r) y = 2 sin(t) with Use x₁ = y. x₂ = y, and x3 = y". 11 with initial values If you don't get this in 2 tries, you can get a hint. (2) = 3, y(2) = 0, y' (2) = 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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Question
![Write the given third order linear equation as an equivalent system of first order equations with initial values.
4y" + (-²) y + 3
cos(t) y = 2 sin(t)
with
(2) = 3, y(2) = 0, y" (2) = 0
Use x₁ = y, x₂ = y, and x3 = y".
11
with initial values
11
If you don't get this in 2 tries, you can get a hint.
x+](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fef339184-4482-41d5-acf0-264517ccf34f%2F9be7afb7-ea61-4495-a3c2-be427eec7a2d%2Fc5rlgjf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Write the given third order linear equation as an equivalent system of first order equations with initial values.
4y" + (-²) y + 3
cos(t) y = 2 sin(t)
with
(2) = 3, y(2) = 0, y" (2) = 0
Use x₁ = y, x₂ = y, and x3 = y".
11
with initial values
11
If you don't get this in 2 tries, you can get a hint.
x+
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