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Express the given system of higher-order differential equations as a matrix system in normal form. x"+3x+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? OA. X₁ X₁ X₂=X", X₂ =Y₁X₂ =y" OB. X₁ X¹, X₂=X", X₂=y', X₂ =y" OC. x₁=X¹, X₂=y' OD. X₁ =X, X₂=X², X₂ =Y, X₂ =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. OB. Xq' 11 X₂ x₂ X3

Express the given system of higher-order differential equations as a matrix system in normal form. x"+3x+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? OA. X₁ X₁ X₂=X", X₂ =Y₁X₂ =y" OB. X₁ X¹, X₂=X", X₂=y', X₂ =y" OC. x₁=X¹, X₂=y' OD. X₁ =X, X₂=X², X₂ =Y, X₂ =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. OB. Xq' 11 X₂ x₂ X3

Advanced Engineering Mathematics
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
Express the given system of higher-order differential equations as a matrix system in normal form. x"' + 3x+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=X", X₂ =Y₁X₂ =y" OB. X₁ X¹, X₂=X", X₂ = Y', X₂=y" OC. X₁ = x¹, x₂ = 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.) O A. co Xq' X₂ m A 11 II X₁ X₂ X3 X4
Transcribed Image Text:Express the given system of higher-order differential equations as a matrix system in normal form. x"' + 3x+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=X", X₂ =Y₁X₂ =y" OB. X₁ X¹, X₂=X", X₂ = Y', X₂=y" OC. X₁ = x¹, x₂ = 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.) O A. co Xq' X₂ m A 11 II X₁ X₂ X3 X4
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