Express the given system of higher-order differential equations as a matrix system in normal form. x" + 5x+6y=0 y" - 5x=0 Which of the following sets of definitions allows the given system to be written as an equivalent system in normal form using only the new variables? O A. x₁ = x¹, x₂ =y' O B. X₁ =X, X₂=X', X3 = Y, X4=y' OC. x₁ = x, X₂=x", X3 = Y. X4=y" OD. x₁ = x¹, x₂ = x¹, x₂ =y', X4=y" Write the system of equations using matrix notation. Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) O A. O B. X₁ X₂ x₁² X1 x2 x3 X4 X1
Express the given system of higher-order differential equations as a matrix system in normal form. x" + 5x+6y=0 y" - 5x=0 Which of the following sets of definitions allows the given system to be written as an equivalent system in normal form using only the new variables? O A. x₁ = x¹, x₂ =y' O B. X₁ =X, X₂=X', X3 = Y, X4=y' OC. x₁ = x, X₂=x", X3 = Y. X4=y" OD. x₁ = x¹, x₂ = x¹, x₂ =y', X4=y" Write the system of equations using matrix notation. Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer.) O A. O B. X₁ X₂ x₁² X1 x2 x3 X4 X1
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:Express the given system of higher-order differential equations as a matrix system in normal form.
x" + 5x+6y=0
y" - 5x=0
Which of the following sets of definitions allows the given system to be written as an equivalent system in normal form using only the
new variables?
O A. x₁ = x¹, x₂ =y'
O B. X₁ =X, X₂=X', X3 = Y, X4=y'
OC. x₁ = x, X₂=x", X3 = Y. X4=y"
OD. x₁ = x¹, x₂ = x¹, x₂ =y', X4=y"
Write the system of equations using matrix notation. Select the correct choice below and fill in the answer box to complete your choice.
(Type an exact answer.)
O A.
O B.
X₁
X₂
x₁²
X1
x2
x3
X4
X1

Transcribed Image Text:Express the given system of higher-order differential equations as a matrix system in normal form.
x" +5x+6y=0
y" - 5x=0
Which of the following sets of definitions allows the given system to be written as an equivalent system in normal form using only the
new variables?
A. x₁ = x¹, x₂ =y'
OB. X₁ =X, X₂=X', X3 =Y₁ X4 = y'
OC. X₁ =X, X₂ = X¹, X3 = y₁ X4=y"
OD. X₁ X¹, X₂=X", X3 =y', X4=y"
Write the system of equations using matrix notation. Select the correct choice below and fill in the answer box to complete your choice.
(Type an exact answer.)
A.
X4
X₁
11
X4
X1
x2
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