Use the eigenvalue method to find the solution of the following system with given initial conditions. x₁ = x₁, x₂ = 8x₁ — 4x2; x₁ (0) = -2, x₂ (0) = 3. Evaluate the solution at t 1 and select the most approximate values. ° [*)] = 0.051 0.446 O ° [21(3)] = [007] 0.673 0.043 ° [2]-[978] (1) 0.776 (1) 0.033 ° [28]-[88] = (1). 0.561
Use the eigenvalue method to find the solution of the following system with given initial conditions. x₁ = x₁, x₂ = 8x₁ — 4x2; x₁ (0) = -2, x₂ (0) = 3. Evaluate the solution at t 1 and select the most approximate values. ° [*)] = 0.051 0.446 O ° [21(3)] = [007] 0.673 0.043 ° [2]-[978] (1) 0.776 (1) 0.033 ° [28]-[88] = (1). 0.561
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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![Use the eigenvalue method to find the solution of the following system
with given initial conditions.
x₁ = x₁, x₂ = -8x₁ — 4x2; x₁ (0) = −2, x₂ (0) = 3.
Evaluate the solution at t = 1 and select the most approximate values.
(1)
° [2] = [0.958]
(1).
0.446
0.027
°[2()] = [73]
(1).
0.673
[2] =
O [1(1)]
[x₂ (1)
[0.043
0.776
=
0.033
0.561](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F099d88f0-6540-416c-ac6e-200ba65e8a02%2F5d2abeb7-2555-4a5f-a7e6-5b13cbacf25d%2Fflh3bk1_processed.png&w=3840&q=75)
Transcribed Image Text:Use the eigenvalue method to find the solution of the following system
with given initial conditions.
x₁ = x₁, x₂ = -8x₁ — 4x2; x₁ (0) = −2, x₂ (0) = 3.
Evaluate the solution at t = 1 and select the most approximate values.
(1)
° [2] = [0.958]
(1).
0.446
0.027
°[2()] = [73]
(1).
0.673
[2] =
O [1(1)]
[x₂ (1)
[0.043
0.776
=
0.033
0.561
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