Express the system of differential equations in matrix notation. x" -2x+4y- (cost)x = 0 y""'+y" -tx' + 3y' + e¹x=0 Question Viewer 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. ×₁ = x, x₂ = x², x3 = y, x4 = y', x5 =y" B. X₁ = x, x₂ =x", x3 = y, x4 = y'"' C. x₁ =x, x2=x', x3 = y, x4 = y' ○ D. X₁ = x², x2=x", x3 = y', x4 =y", x5 =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 5. X3 x4 ' X5 X5 X1 At cut nut ☐ x2 xx cut ut ×4
Express the system of differential equations in matrix notation. x" -2x+4y- (cost)x = 0 y""'+y" -tx' + 3y' + e¹x=0 Question Viewer 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. ×₁ = x, x₂ = x², x3 = y, x4 = y', x5 =y" B. X₁ = x, x₂ =x", x3 = y, x4 = y'"' C. x₁ =x, x2=x', x3 = y, x4 = y' ○ D. X₁ = x², x2=x", x3 = y', x4 =y", x5 =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 5. X3 x4 ' X5 X5 X1 At cut nut ☐ x2 xx cut ut ×4
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 system of differential equations in matrix notation.
x" - 2x' + ty - (cost)x = 0
y""' + y" - tx' + 3y' + e¹x = 0
Question Viewer
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. ×₁ = x, x2 = x², x3 = y, x4 = y', x5 =y"
B. X₁ = x, x2 =x", x3 = y, x4 = y'''
C. x₁ = x, x2 = x², x3 = y, x4 = y'
×₁ = x', x2 = X", x3 = y', x4 = y'', x5 = 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.
X1
X1
x2
X3
S
Ха
X5
X5
X1
'
B.
x2
'
5
II
X3
X1
x2
N
x3
X4
ха
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