2 Consider the systemSolutiongiven xy y33x2 fixed points are

2. Consider the system

Solution

given x\'=y

y\'=3-3x²

fixed points are given by x\'=0 ,y\'=0

x\'=0 then y=0

y\'=0 the 3-3x²=0

x=-1,1

therefore fixed points are (-1,0),(1,0)