Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Sketch typical solution curves in the subregions in the xy-plane determined by the graphs of the equilibrium solutions.
y
y
X
X
X
1.7
0.5
-2.2
y
1.7
0.5
-2.2
1.7
0.5
-2.2
y
1.7
0.5
-2.2
X
Transcribed Image Text:Sketch typical solution curves in the subregions in the xy-plane determined by the graphs of the equilibrium solutions. y y X X X 1.7 0.5 -2.2 y 1.7 0.5 -2.2 1.7 0.5 -2.2 y 1.7 0.5 -2.2 X
Consider the autonomous differential equation dy/dx = f(y), where the graph of f is given. Use the graph to locate the critical
points of each differential equation. Sketch a phase portrait of each differential equation.
f
1
↑
1.7
0.5
-2.2
1.7
0.5
-2.2
1.7
0.5
-2.2
1.7
0.5
-2.2
Transcribed Image Text:Consider the autonomous differential equation dy/dx = f(y), where the graph of f is given. Use the graph to locate the critical points of each differential equation. Sketch a phase portrait of each differential equation. f 1 ↑ 1.7 0.5 -2.2 1.7 0.5 -2.2 1.7 0.5 -2.2 1.7 0.5 -2.2
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