Review case study of british agricultural mechanization

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Question: A study of British agricultural mechanization from 1950 onwards estimated that y, the number of tractors in use (measured in thousands) as a function of t (measured in years, so that t = 0 corresponds to 1950), was approximately given by y(t) = 250 + x(t), where x = x(t) satisfied the logistic differential equation

x. = 0.34x(1 - (x/230),          x(0) = 25

(a) Find an expression for y(t).

(b) Find the limit of y(t) as t → ∞, and draw the graph.

Reference no: EM131567024

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