This is a differential equation problem, but since I have problem with integration, I am posting here for help. Thank you very much.

http://tutorial.math.lamar.edu/Class...es/eq0007M.gif

I need to integrate the right side

I will list my steps.

http://dl.dropbox.com/u/14655573/latex/1.gif

1. perform integration by part

http://dl.dropbox.com/u/14655573/latex/2.gif

http://dl.dropbox.com/u/14655573/latex/3.gif

http://dl.dropbox.com/u/14655573/latex/4.gif

http://dl.dropbox.com/u/14655573/latex/5.gif

2. result

http://dl.dropbox.com/u/14655573/latex/6.gif

3. again, integration by part

http://dl.dropbox.com/u/14655573/latex/7.gif

http://dl.dropbox.com/u/14655573/latex/8.gif

http://dl.dropbox.com/u/14655573/latex/9.gif

http://dl.dropbox.com/u/14655573/latex/10.gif

4. result (edited)

http://latex.codecogs.com/gif.latex?...]%20\right%20]

http://latex.codecogs.com/gif.latex?...]%20\right%20]

The last result is not right. This is the result from the website (Paul's Note)

Pauls Online Notes : Differential Equations - Modeling with First Order DE's (first problem)

http://tutorial.math.lamar.edu/Class...es/eq0008M.gif

I don't even have (200+t)^3

Can someone help me on this? Thank you very much!