mRNA is an intermediate molecule that arises in the decoding of DNA. mRNA is produced by a process called transcription and it eventually decays. Suppose that the rate of transcription is changing exponentially according to the expression ebt and mRNA has a constant per capita decay rate of k. The number of mRNA transcript molecules, T, thus changes as dT = ebt - KT. dt The first term on the right side is time-varying. As a result, the differential equation is not separable. However, the equation can be solved using the change of variables y(t) = bektT(t). Solve the differential equation using this technique. (Let T(0) = To.) T(t) =
mRNA is an intermediate molecule that arises in the decoding of DNA. mRNA is produced by a process called transcription and it eventually decays. Suppose that the rate of transcription is changing exponentially according to the expression ebt and mRNA has a constant per capita decay rate of k. The number of mRNA transcript molecules, T, thus changes as dT = ebt - KT. dt The first term on the right side is time-varying. As a result, the differential equation is not separable. However, the equation can be solved using the change of variables y(t) = bektT(t). Solve the differential equation using this technique. (Let T(0) = To.) T(t) =
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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