Well, I finally figured out the differential equation from a previous post (thank god) but know I am having some trouble getting the result I want as it has been 6 years since diff eq.
500dx = 20dT + 20T - 9.47(T-15)dx
The Attempt at a Solution
Well, first shot I went for seperation of variables which seemed logical to me:
500dx + 9.47(T-15)dx = 20dT + 20T
(500 + 9.47(T-15)dx = 20dT + 20T
dx = (20dT + 20T) / [500 + 9.47(T-15)]
And this seems unrealistic.
Someone kick me and tell me how wrong I am please. I have tried digging though my old books but I don't seem to have my diff eq or calc books anymore.