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 point

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 2 sin x + sin y, dy dt sin x+ 2 sin y

dx dt 2 sin x + sin y, dy dt sin x + 2 sin y

Step by Step Solution

3.55 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

x 2 x x vx x x y 2xy x1 x2y The coefficient matri... 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!