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Express the given system of higher-order differential equations as a matrix system in normal form. x''+6x+y=0 y"-2x=0 Which of the following sets of definitions allows the given system to be written as an equivalent system in no Question Viewer only the new variables? OA. x₁ =x', x2=x", x3 = y', x4 =y" B. X₁ = x, x2=x', x3 = y, x4 = y' C. x₁ = x, x₂ =x", x3 = y, x4 =y" ○ D. X₁ = x², 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.) ×1 ○ A. X2 X2 ○ B ☑ X1 X2 X3 ×4

Express the given system of higher-order differential equations as a matrix system in normal form. x''+6x+y=0 y"-2x=0 Which of the following sets of definitions allows the given system to be written as an equivalent system in no Question Viewer only the new variables? OA. x₁ =x', x2=x", x3 = y', x4 =y" B. X₁ = x, x2=x', x3 = y, x4 = y' C. x₁ = x, x₂ =x", x3 = y, x4 =y" ○ D. X₁ = x², 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.) ×1 ○ A. X2 X2 ○ B ☑ X1 X2 X3 ×4

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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Express the given system of higher-order differential equations as a matrix system in normal form. x" + 6x+y=0 y" -2x=0 Which of the following sets of definitions allows the given system to be written as an equivalent system in no A. x1 = x', x2 =x", x3 = y', x4 = y" Question Viewer only the new variables? 'B. ×₁ = x, x₂ = x², x3 = y, x4 = y' C. x1 = x, x2 =x", x3 = y, x4 = y' D. X₁ =x', 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.) X1 X1 ○ A. x2 ×2 ○ ×1 ' X1 x2 N B. x2 ' X3 ха II x3 Ха
Transcribed Image Text:Express the given system of higher-order differential equations as a matrix system in normal form. x" + 6x+y=0 y" -2x=0 Which of the following sets of definitions allows the given system to be written as an equivalent system in no A. x1 = x', x2 =x", x3 = y', x4 = y" Question Viewer only the new variables? 'B. ×₁ = x, x₂ = x², x3 = y, x4 = y' C. x1 = x, x2 =x", x3 = y, x4 = y' D. X₁ =x', 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.) X1 X1 ○ A. x2 ×2 ○ ×1 ' X1 x2 N B. x2 ' X3 ха II x3 Ха
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