0:00
Hello everyone.
00:01
So here at equilibrium x dash 0 is equal to 0, y dash 0 is equal to 0, y dash 0 is equal to 0.
00:12
So minus 6x minus y minus 3 x y is equal to 0, y is equal to 0 and minus 6x minus 3 y is equal to 0.
00:21
So here 2x plus x squared is equal to 0, so x is equal to 0, x is equal to minus 2.
00:29
Therefore, the points are 0 -0 minus 2 -0.
00:37
So here, f is equal to y and g is equal to minus 6x minus y minus 3x squared.
00:45
So here del f by del x is equal to 0, del f by del y is equal to 1, del g by del x is equal to minus 6 minus 6x and del g by del y is equal to minus 1.
00:59
So here, a is equal to 01 minus of minus 6 minus 1.
01:08
Now for 0 0 .x dash y dash is equal to 01 minus 6 minus 1 x.
01:19
So the linearization will be x dash is equal to 1 y dash is equal to minus 6x minus y...