Let x(t) = (x1(t), x2(t)) be the unique solution of the system: 2 = a} – a x2 = 1- x122 such that x1(0) = 2 and x2 (0) = 1. At time t = 0.01 the solution satisfies: T1(0.01) > 2 and x2(0.01) > 1 ¢1(0.01) < 2 and x2(0.01) > 1 x1 (0.01) > 2 and x2 (0.01) < 1 x1 (0.01) < 2 and x2(0.01) < 1
Let x(t) = (x1(t), x2(t)) be the unique solution of the system: 2 = a} – a x2 = 1- x122 such that x1(0) = 2 and x2 (0) = 1. At time t = 0.01 the solution satisfies: T1(0.01) > 2 and x2(0.01) > 1 ¢1(0.01) < 2 and x2(0.01) > 1 x1 (0.01) > 2 and x2 (0.01) < 1 x1 (0.01) < 2 and x2(0.01) < 1
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:Let x(t) = (x1(t), x2(t)) be the unique solution of the system:
ai = xỉ – x²
x2 = 1- x1x2
%3D
such that x1 (0) = 2 and x2 (0) = 1. At time t = 0.01 the solution satisfies:
x1 (0.01) > 2 and æ2 (0.01) > 1
x1(0.01) < 2 and x2 (0.01) > 1
x1(0.01) > 2 and æ2 (0.01) < 1
O x1 (0.01) < 2 and x2 (0.01) <1
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