Here is the question:
I have posted a link there to this topic so the OP can see my work.Differential equation about weight loss?
A person's weight depends on both amount of calories consumed and the energy used. Moreover, the amount of energy used depends on the person's weight - the average amount of energy used by a person is 17.5 calories per pound a day. Thus, the more weight the person loses, the less energy the person uses (assuming that 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 calorie consumption.
(A) find the general solution of the differential equation
(B) consider a person who weighs 180lb and begins a diet of 2500 calories per day. How long will it take the person to lose 10lb? 35?
(C) what is the limiting weight of the person?
(D) repeat (B) for a person who weighs 200lb when the diet started