The Gompertz differential equation N'it) = a\n-^Nit) serves as a model for the growth
Chapter 5, Problem 14(choose chapter or problem)
The Gompertz differential equation N'it) = a\n-^Nit) serves as a model for the growth oftumors where A(/) is the number of cells in a tumor at time t. The maximum number of cells that can be supported is K, and a is constant related to the proliferative ability of the cells. In a particular type of cancer, a = 0.0439, k = 12000, and I is measured in months. At the time (f = 0) the tumor is detected, A(0) = 4000. Using the Adams predictor-corrector method with h = 0.5, find the number of months it takes for N(t) = 11000 cells, which is the lethal number of cells for this cancer
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