Question: When a lint-order DE has the form y' = f(y), so the right-band side doesn't depend oo t, the equation is called autonomous (which means

When a lint-order DE has the form y' = f(y), so the right-band side doesn't depend oo t, the equation is called autonomous (which means independent of time).
The logistic equation y' = ky(1 - y) in Problem 60 and the equation y' = y2 - 4 in Example 9 are examples of autonomous equations.
(a) List those DEs in Problems 9-17 and 31-39 that are autonomous.
(b) What is the distinguishing property of isoclines for autonomous equations?
In Problem 60
When a lint-order DE has the form y' = f(y),

-stable equilibrium. unstable equilibrium - 0 0

Step by Step Solution

3.39 Rating (171 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a Autonomous 9 y 2y 13 y 1y 14 y yy1 ... 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 (4507).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!