HOMEWORK 1 - due Wednesday september 2nd at the beginning of class (ten minutes into class is the cut-off).
A) Section 1.3 questions 7, 8, 9, 11, 12 - 'Verify that each function is a solution of...'
HINT: This is just practice in differentiating functions. You'll know
you've done the differentiation correctly if the differential equation
is satisfied as required. [2 marks per question, total 10]
B) Section 1.1 questions 1 and 5 - 'draw a direction field......, conclusions' [6 marks per question, total 12]
C) Section 1.1 questions 7 and 9 - 'write down a differential equation of the form.....'
HINT: If you find this hard, try some values of a and b until you find
some that work. Try to understand why the values you found work. [4
marks per question, total 8]
D) Section 1.3 questions 1,3,4,5 - 'determine order and whether linear/non-linear ...'
HINT: You'll learn how to answer these questions in class on friday. [2 marks per question, total 8]
+ 2 marks for presentation (stapled, readable, and with your name on should do the trick)
Any questions, let me know!
Good luck!
Dan