# Particular integral problem

1. Jan 9, 2007

### Zell2

1. The problem statement, all variables and given/known data
I'm trying to find a particular integral to the differential equation on the attatched image, but I come up with two slightly different answers depending on the method I use. I suspect the problem (if it's not just me being very thick and making a silly algebra error) is the way arctan is defined but I can't see what I should do differently in either solution.

3. The attempt at a solution
Attatched.

Thanks

File size:
20.9 KB
Views:
69
2. Jan 9, 2007

### HallsofIvy

Staff Emeritus
?? You give just the answers and they look identical to me!

3. Jan 9, 2007

### Zell2

One has a plus thi one has a minus thi for some reason.

4. Jan 9, 2007

### Gib Z

I think you mean phi, $$\phi$$
I havent read the question, I probably wouldn't understand it, but perhaps Halls was giving a hint that its equal to zero?

5. Jan 10, 2007

### Zell2

My mistake sorry, meant phi. I think phi's only going to be zero in a special case, for most values of a,b,c,w it's going to be non-zero.

Does anyone have any other suggestions? The second version is the one that works in the differential equation but I still can't see why the first one doesn't.
Thanks

Last edited: Jan 10, 2007