please have a look at the attached picture ...and help me understand what to do next...
thank you for whatever help anyone can provide ...
plz note , i know how to linearize at the equillibrium point which is ( x= m/n , y =a/b )
please have a look at the attached picture ...and help me understand what to do next...
thank you for whatever help anyone can provide ...
plz note , i know how to linearize at the equillibrium point which is ( x= m/n , y =a/b )
you can change to the "scaled variables" Y= y/(a/b) and X= x/(m/n) by solving those for x and y: x= (m/n)X and y= (a/b)Y. Then the differential equations become
or
and
or
which have equilibrium points at (0, 0) and (1, 1).
You then get
which can be separated as
Integrate that to get g(Y)= f(X).