Question: In Problems 1 through 4, show that the given system is almost linear with (0 , 0) as a critical point, and classify this critical

In Problems 1 through 4, show that the given system is almost linear with (0 , 0) as a critical point, and classify this critical point as to type and stability. Use a computer system or graphing calculator to construct a phase plane portrait that illustrates your conclusion.

dx dt = 1-e* + 2y, = -x - 4 sin y

dx dt = 1-e* + 2y, = -x - 4 sin y dy dt

Step by Step Solution

3.41 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

x11x x 2yx2y 1 x4yyx4 v 1 2 04 1 4 has negative eigenv... 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

Students Have Also Explored These Related First Course Differential Equations Questions!