
Differential Equations Ordinary and Partial Differential Equations Math Forum 
 LinkBack  Thread Tools  Display Modes 
January 21st, 2011, 03:00 PM  #1 
Senior Member Joined: Jan 2009 Posts: 344 Thanks: 3  Help with differential equation problem
A person's weight depends on both the number of Calories consumed and the energy used. Moreover the amount of energy used depends on a person's weight  the average amount of energy used by a person is 17.5 Calories per pound per day. So, the more weight a person loses, the less energy a person uses (assuming the person maintains a Constant Level of activity). An equation that can be used to model weight loss is; dw/dt = c/3500  17.5w/3500. Where w, is the person's weight (in pounds), t is the time in days, and c is the constant daily consumption. [a] Find the general Solution of the differential equation; dw/dt = c/3500  17.5w/3500. My Answer: Wolframalpha answer: I don't what you mean by using e^(0.005t) as an integrating factor. [b] Consider a person who weighs 180 pounds and begins a diet of 2500 Calories per day. How long will it take the person to lose 10 pounds? How long will it take the person to lose 35 pounds? 
January 21st, 2011, 06:53 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 19,983 Thanks: 1853 
Can you try solving the differential equation by using e^(.005t) as an integrating factor, and then post your work?


Tags 
differential, equation, problem 
Search tags for this page 
weight loss differential equation,differential equation weight loss,dw/dt,explain the dw/dt= C/350017.5w /3500
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Differential Equation Problem  stealth4933  Differential Equations  3  February 13th, 2014 07:01 AM 
Differential equation problem  rob747uk  Differential Equations  2  March 26th, 2012 09:55 AM 
differential equation problem  noul  Differential Equations  4  December 19th, 2010 05:34 AM 
Differential equation problem!  David McLaurin  Differential Equations  3  July 8th, 2009 08:50 AM 
Differential Equation Problem  Draznar  Differential Equations  1  January 5th, 2009 06:45 PM 