M374M
Homework #1
Logan.
Section 1.1:
1 Find
2 For
p.8 print [p.28 ut ebook] (#41 ),
p.27 print [p.59 ut ebook] (#5, 92 , 13, 143 ).
reduced form of g(t, r, , E, P ) = 0 for P = 0. In special case when P = 0, deduce that r = C(Et2 /)1/5 as before.
xed (T,

M374M
Homework #3
Logan.
Section 1.3:
1 This
p.53 print [p.103 ut ebook] (#1a1 ,1n1 ).
p.72 print [p.135 ut ebook] (#8a2 ,9,13).
is a review question on solution methods for ODEs.
the parameter h can take any value: negative, zero or positive.
2 Assume
Mi

M374M
Homework #4
Logan.
Sections 2.1, 2.2:
p.87 print [p.158 ut ebook] (#3,51 ).
p.93 print [p.170 ut ebook] (#1a,1f,52 ).
1 Instead of the linearization, nd all equilibria; sketch the direction of solution curves in a small region around each equilibriu

M374M
Homework #6
Logan.
Section 2.6:
p.138 print [p.244 ut ebook] (#51 ).
p.143 print [p.253 ut ebook] (#22 ab).
1 Use
the condition S + I + R = N to get a two-variable system for S, I. For concreteness assume N > b/a and = b/2;
characterize stability of