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In the following problems, find the general solution as a linear combination of real solutions, find a particular solution corresponding to the given initial data, and plot the phase portrait: x(0) = [₁ 3. 4. 5. X(t) = [1 2] X(t), dt 2] dX(t) = [13] X(t), 0 d 0 5 = X(t) = [-1 -2] dt. x(0) = []. X(t), X(0) = [1]

In the following problems, find the general solution as a linear combination of real solutions, find a particular solution corresponding to the given initial data, and plot the phase portrait: x(0) = [₁ 3. 4. 5. X(t) = [1 2] X(t), dt 2] dX(t) = [13] X(t), 0 d 0 5 = X(t) = [-1 -2] dt. x(0) = []. X(t), X(0) = [1]

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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In the following problems, find the general solution as a linear combination of real solutions, find a particular solution corresponding to the given initial data, and plot the phase portrait: 3. 4. 5. d 2 X(t) = [1 2] X(t), X(0) = 15 42 dt d dt -X(t) H 2 = [13] X(t), X(0) = [] 0 -B = X(t) = [152] X(t), X(0) = x(1) -1 dt
Transcribed Image Text:In the following problems, find the general solution as a linear combination of real solutions, find a particular solution corresponding to the given initial data, and plot the phase portrait: 3. 4. 5. d 2 X(t) = [1 2] X(t), X(0) = 15 42 dt d dt -X(t) H 2 = [13] X(t), X(0) = [] 0 -B = X(t) = [152] X(t), X(0) = x(1) -1 dt
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