1. Apply the Laplace transform to then system of differential equations. Write the resulting system in the transform space. Do not solve the system of equations. dx dt = 4x - 3y dy dt = 5x - y 2 x(0) = [10] (s + m₂)X(s) + m₂Y(s) = m3 n₁X (s) + (s + n₂)Y(s) = n3
1. Apply the Laplace transform to then system of differential equations. Write the resulting system in the transform space. Do not solve the system of equations. dx dt = 4x - 3y dy dt = 5x - y 2 x(0) = [10] (s + m₂)X(s) + m₂Y(s) = m3 n₁X (s) + (s + n₂)Y(s) = n3
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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![1. Apply the Laplace transform to then system of differential equations. Write the
resulting system in the transform space. Do not solve the system of equations.
dx
x(0) = [1₁0]
dt
= 4x - 3y
dy
dt
= 5x - y
=m3
(s + m₂)X(s) + m₂Y(s)
n₁X (s) + (s + n₂)Y(s) = n3
please find m1,m2,m3,n1,n2,and n3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F702b72a5-f07f-4c22-a3f5-6956511ed203%2F371a7a1a-5d51-4007-ba00-cec543363bec%2Fq79sq6d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Apply the Laplace transform to then system of differential equations. Write the
resulting system in the transform space. Do not solve the system of equations.
dx
x(0) = [1₁0]
dt
= 4x - 3y
dy
dt
= 5x - y
=m3
(s + m₂)X(s) + m₂Y(s)
n₁X (s) + (s + n₂)Y(s) = n3
please find m1,m2,m3,n1,n2,and n3.
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