Express the given system of higher-order differential equations as a matrix system in normal form. x' + 6x + 7y=0 y" - 2x=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 va OA. X₁ = x¹, x₂ = y' OB. X₁ =X, X₂ = X, X3 = Y, X4 =y" OC. X₁ =X', X₂ = x', X3 = y', X4 =y" OD. X₁ =X, X₂ = X¹, 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. B. X₁ X2 X1 2 S ХА II X₁ X2 Xx1 x2 ... x3 ХА

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Express the given system of higher-order differential equations as a matrix system in normal form.
x" + 6x + 7y=0
y" - 2x=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?
OA. X₁ = x¹, x₂ = y'
O B. X₁ =X, X2₂=X'', X3 = Y, X4 =y"
O c. x₁ = x¹, x₂ = x¹, X3 = y', X4 =y"
O D. x₁ = x, 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.)
OA.
B.
X₁
X₂
X₁
S
w
X4
||
X₁
X2
x1
3
...
W
X4
ро
Transcribed Image Text:Express the given system of higher-order differential equations as a matrix system in normal form. x" + 6x + 7y=0 y" - 2x=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? OA. X₁ = x¹, x₂ = y' O B. X₁ =X, X2₂=X'', X3 = Y, X4 =y" O c. x₁ = x¹, x₂ = x¹, X3 = y', X4 =y" O D. x₁ = x, 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.) OA. B. X₁ X₂ X₁ S w X4 || X₁ X2 x1 3 ... W X4 ро
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