Express the following first-order system as a single higher-order differential equation and solve using the given initial conditions. Make sure to change the initial conditions appropriately. Evaluate the system at t = 1 and select the most approximate vector form. x₁ = -2x1 - 2x2 2, = −5æ1+ 2 x₁ (0) = -4,2 (0) = 2. O 2 (1)] ° [2,3] O [1(1)] [x2 (1) = = = - 18.527 75.709 -23.026 78.965 -29.545 79.812 -34.474 86.039
Express the following first-order system as a single higher-order differential equation and solve using the given initial conditions. Make sure to change the initial conditions appropriately. Evaluate the system at t = 1 and select the most approximate vector form. x₁ = -2x1 - 2x2 2, = −5æ1+ 2 x₁ (0) = -4,2 (0) = 2. O 2 (1)] ° [2,3] O [1(1)] [x2 (1) = = = - 18.527 75.709 -23.026 78.965 -29.545 79.812 -34.474 86.039
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Express the following first-order system as a single higher-order
differential equation and solve using the given initial conditions.
Make sure to change the initial conditions appropriately. Evaluate
the system at t = 1 and select the most approximate vector form.
x₁ = -2x₁ - 2x2
x2 = −5x₁ + x2
x₁ (0) = -4, x2 (0) = 2.
O x₁ (1)
[x₂ (1)]
0 [2010]
] = [
O [1(1)]
[x₂ (1)]
(1)]
=
=
=
-18.527
75.709
-23.026
78.965
-29.545
79.812
-34.474]
86.039](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5d315888-6dbb-4a1a-b612-e836b18e12f7%2F29503fff-637f-47ca-8124-9e46a0f30464%2Fhqgsth8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Express the following first-order system as a single higher-order
differential equation and solve using the given initial conditions.
Make sure to change the initial conditions appropriately. Evaluate
the system at t = 1 and select the most approximate vector form.
x₁ = -2x₁ - 2x2
x2 = −5x₁ + x2
x₁ (0) = -4, x2 (0) = 2.
O x₁ (1)
[x₂ (1)]
0 [2010]
] = [
O [1(1)]
[x₂ (1)]
(1)]
=
=
=
-18.527
75.709
-23.026
78.965
-29.545
79.812
-34.474]
86.039
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