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following problems, find the general solution as a al solutions, find a particular solution correspon and plot the phase portrait: 5 X(t) = [1 2] X(t), X(0) = t 42 [2] X (0) x= [3] x0, x= []. X(t) 03 t -11 05 X(t) = [₁52] X(), X(0) = t -1 -2 -1 Ex() = [37] X(), x(0) = [2] X(t) X 1

following problems, find the general solution as a al solutions, find a particular solution correspon and plot the phase portrait: 5 X(t) = [1 2] X(t), X(0) = t 42 [2] X (0) x= [3] x0, x= []. X(t) 03 t -11 05 X(t) = [₁52] X(), X(0) = t -1 -2 -1 Ex() = [37] X(), x(0) = [2] X(t) X 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. 6. d 2 X(t) = [1 2] X(t), X(0) = 4 dt d 2 1x) = [13] X(), X(0) = -X(t) dt 0 H [] d X(1) - [17] = 0 X(t) = [152] X(t), X(0) = dt -2 dt - A X(t), X(0) =
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. 6. d 2 X(t) = [1 2] X(t), X(0) = 4 dt d 2 1x) = [13] X(), X(0) = -X(t) dt 0 H [] d X(1) - [17] = 0 X(t) = [152] X(t), X(0) = dt -2 dt - A X(t), X(0) =
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