I'm having MAJOR difficulty with a problem regarding stability of a DE. The problem goes as following:
Find the equation of the phase paths of x˙=1+x^2, y˙=−2xy. It is obvious from the phase diagram that y=0 is Poincaré stable. Show that for the path y=0, all paths which start in...
Given the Infinite Series 1/(1+n^2) where n goes from 1 to infinity, show that the sum is less than pi/2.
Series goes 1/2, 1/5, 1/10, 1/17, 1/26 and so on
The Attempt at a Solution
I have tried to find a telescoping...