Question: Determine the basin of attraction for each constant solution of the autonomous equations in Problems. That is, sketch a direction field and highlight the equilibrium

Determine the basin of attraction for each constant solution of the autonomous equations in Problems. That is, sketch a direction field and highlight the equilibrium solutions. For each, color the portion of the plane from which solutions are attracted to that equilibrium.
a. y' = y( l - y)
b. y' = y2 - 4

Step by Step Solution

3.48 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a y y1 y The constant solutions are found by setting y 0 giving yt 0 1 Either by looking ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

947-M-L-A-L-S (4509).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!