Homework 3 -  Reminder: full working will be required to earn marks for a correct solution

Due Wednesday 16th September in class


A) Section 2.2

Questions 1, 2, 4;  'Solve the given differential equation..'
Question 10 part a) only 'find solution of initial value problem'
[4 Marks each, total 16]

HINT: This is practice in solving separable equations. Take care not to divide anything by zero. If you 'want to' divide by zero, there are two possibilities: if the ODE is defined at this value, treat this case separately . If the ODE is not defined at the 'divide by zero' value, just exclude this value from your solution.



B) Section 2.3 question 16' Newton's law of cooling...'

Hint: Hmmm, coffee..... We'll get started on this question in class on friday as a team effort!

[6 Marks]



C) Section 2.3 question 19 'Consider a lake......'

Hint: This question is completely typical of the sort of thing you're expected to be able to do, and you should be all set!

I WANT TO SEE YOU SOLVE THE ODE - you've seen how to do this a couple of ways for this type of equation, and you have the general formula - still it's good practice for you.

[Total 16 Marks: a) 9 marks (2 for setting up, 4 for solving, 3 for limiting equation) b) 3 marks c) 4 marks]



+2 marks for stapling, your name, etc,....