A Linear Diet Model

I am working on solving a linear diet problem. I am given a differential equation. The problem basically requires me to solve the D.E., then plug 'n chug. I have gone over the solution to the D.E. over and over again. A fellow calculus student has also looked over the math and cannot find the error. Quite possibly there is no error and I am misinterpretting something. I end up with a negative inside of a natural logarithm, but I cannot find a way to get it out. Additionally, I have tried simply using the absolute value of the log, but I don't think this is correct.

I have put the question along with my work into a PDF file located http://mlowery.t35.com/Special_Project_Weight_Loss.pdf" [Broken]

If anyone could point out my error/misinterpretation, I would greatly appreciate it.

Thanks,
Mitchell

Last edited by a moderator:

Hurkyl
Staff Emeritus
Gold Member
Why did you call k the initial weight? The initial weight is w(0). (Assuming the initial time is t = 0)

Well my new answer seems more logical :)
Thank you so much Hurkyl.

HallsofIvy