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0 2 j, j(0) = 2 0 1. j' y1 2. j' = 1 ý, 7(0) = -1 -1 -0.5 j, j(0) = 1 %3D [0.5 A B 4.j' = y2 -0.5 ý, j(0) = 0.4- 20 0.5 0.2 15 10 -1 -0,5 0,5 5 -0.2 1 2 4 y1 -0,4

0 2 j, j(0) = 2 0 1. j' y1 2. j' = 1 ý, 7(0) = -1 -1 -0.5 j, j(0) = 1 %3D [0.5 A B 4.j' = y2 -0.5 ý, j(0) = 0.4- 20 0.5 0.2 15 10 -1 -0,5 0,5 5 -0.2 1 2 4 y1 -0,4

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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Match each initial value problem with the phase plane plot of its solution. (The arrows on the curves indicate how the solution point moves y2 y2 as t increases.) 0 2 ? v 1. j' = ý, ý(0) = y1 -2 0 ? v 2. j' = y, j(0) = -1 ? v 3. j' = [0.5 -0.5 y, j(0) = 1 A В -0.5 ý, j(0) = -1 y2 -1 ? v 4. j' = 0.5 0.4 20 0.2- 15 10 -1 -0.5 8.5 1y1 -0,2 1 2 4 y1 -0.4 D
Transcribed Image Text:Match each initial value problem with the phase plane plot of its solution. (The arrows on the curves indicate how the solution point moves y2 y2 as t increases.) 0 2 ? v 1. j' = ý, ý(0) = y1 -2 0 ? v 2. j' = y, j(0) = -1 ? v 3. j' = [0.5 -0.5 y, j(0) = 1 A В -0.5 ý, j(0) = -1 y2 -1 ? v 4. j' = 0.5 0.4 20 0.2- 15 10 -1 -0.5 8.5 1y1 -0,2 1 2 4 y1 -0.4 D
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