A rather simple DE

1. Oct 29, 2006

Growl

Given that y' = [x(x^2+1)^1/2]/ye^y
How do you find solve the differential equation?
I got through some parts but have hard time solving for y when i got
(y-1)e^y = [(x^2+1)^(3/2)]/3 + C

Thanks a lot :)

Last edited: Oct 29, 2006
2. Oct 29, 2006

Office_Shredder

Staff Emeritus
It looks like you did a bit of a botch job on integrating the RHS.

$$\int x^3 + xdx = x^4/4 + x^2/2$$

I don't think you can really go much farther than you have.

EDIT: It looks right now. I would probably just hand it in as is, because I don't see a way to solve that

Last edited: Oct 29, 2006
3. Oct 29, 2006

Growl

My bad, it's actually y' = [x(x^2+1)^1/2]/ye^y, ;), posted the problem up wrong...

Thanks anyway!

4. Oct 31, 2006

CPL.Luke

if you want to give your professor something, you can isolate x in that problem, although you'll have a plus or minus in the solution..