Homework 4 - EXCEPTIONAL DUE DATE FRIDAY 25th september (although earlier is fine!)

A) Section 2.4 [Total 12 marks]

Questions 1,2,4,5 [3 marks each] - 'Determine an interval in which the solution of the given IVP is certain to exist'

Hint: No need to solve any ODE to answer this question

B) Section 2.5  [Total 14 marks]

Questions 8,9,10 - 'Sketch graph, determine equilibrium points, classify equilibrium solutions, draw phase line, sketch some solutions' [3 marks each]

Question 27 a) and b) only 'Consider the cases a<0, a>0. a=0. In each case,.....'
[5 marks]

Hint: No need to solve any ODE to answer this question

C) Section 3.1 [Total 12 marks]

Question 1 'Find general solution' [5 marks]
Question 9 'Find solution of IVP' [7 marks]

Hint: We'll learn how to answer this on monday

+2 marks for presentation