Homework 13 - Due Wednesday 9th December

A) Section 7.8 [Total 20 marks]

Based on question 1.

For the given system of ODE (which has matrix   3   -4   ):
                                                                               1   -1

a) Find the general solution [12 marks]

b) Sketch the phase portrait (no need to be too accurate - the right shape curves and arrows pointing in right direction will suffice) [4 marks]

c) classify the type and stability of (0,0)  [4 marks]


B) Section 7.1 [Total 4 marks]

Question 1. ' Transform given equation into a system of first order ODE'   [4 marks]


C) Section 9.3 [Total 14 marks]

qns 5. and qn. 9  'determine all critical points' For credit: part a) only [7 marks each]

For valuable exam practice you can try parts b)-d) also, which we will learn how to do by monday.


TOTAL 38 marks + 2 for presentation