Hey Gang:

I am going to ask a question this time. I got a hold of the book

Ordinary DE and Stability Theory by Sanchez I picked up for a song. It has some tough problems. I thought it would be a nice book, but the notation is killer.

I have been wanting to strengthen my DE skills.

Here is one if anyone has a good idea.

Let's take the equation , where x=x(t) is an unknown

scalar function and f and df/dx are defined and continuous on the strip

.

We can also assume ,

and let ,

where .

Show all solutions are described by the family

, where is the inverse

of F, and c is a constant determined by initial conditions.

I tried using the second fundamental theorem of calculus and thought

about

Just a little hung up.