LIFESCI 30B Lecture 25: Lectures 25 - 26
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Rea " from wednesday we want to analyze an equilibrium point of a system of differential equations . Recall linear approximation for a (r*, s*j function ( i. Linear approximation should look like of what does graph of a function. 0 +0 ( the limit ) ( hen ol=f(x* ox f( * ) ( constant. 2. f ( x. y) function fly we consider. In x and small changes in y . X but keep y of = f(x*to , y* ) consider t *to s*k*ih ox. Notation : is the partial derivative as a function gjff ,*y* , the. ,y*j value partialdenvati. ve#f ( x*,y*l deriv ot partial the ot. Just compote derivative of f with respect to. , , ,g , f ( r ,s1= 312-2122 - 2 variables f ( x. y) : of ( xh *,y*p . Let"s expand this to the long version of linear approx . using ox=
