Homework 2, due September 12, 2007.

[goodwine]

Reading assignment: Chapter 2.

Homework assignment: problems 2.1-2.11 except 2.4 and 2.8.

If you want to start the homework before Monday afternoon, you will have to base a lot of it on reading the course text.

[ascott5]

Nevermind

[aoconno5]

In problem 2.2 for the homework it reads:

1. If x(0) denote the amount present

Should it be denotes? I didn't know where to post this because it's not really a homework question.

[goodwine]

In problem 2.2 for the homework it reads:

1. If x(0) denote the amount present

Should it be denotes? I didn't know where to post this because it's not really a homework question.

Yes, that's right, it should be "denotes."

[goodwine]

Someone asked me:

I was wondering if you could give me a clue as to start problem 2.10. I'm not
sure how to approach the start. Should I begin with a general separable
equation and then show that it is also exact? Thank you.

Since a general separable equation is of the form that allows us to put all the t's on one side and all the x's on the other, we can write it in the form

f(t) dt = g(x) dx

or

g(x) dx/dt - f(t) = 0.

You should be able to related the g(x) and f(t) function to the theorem that states when an equation is exact.