I want to calculate the rate at which work gets done on a project.
On each week some work is done and some new work is generated. The new work generated is directly proportional to the amount of work remaining in the project.
Work done on project
$dW = (cW - R) dt$
W = work remaining R = rate of work c = constant representing churn rate
How do I calculate when the project ends?
Edited to remove original sign error where I had: $dW = (R - cW) dt$