A goat that weighs 6 pounds at birth gains weight at the rate (a) Find the particular solution of the differential equation. (b) Use a graphing utility to graph the particular solutions for k= 0.8, 0.9, and 1. W 300 250 200 150 100 50H W 200 150 100 2 4 6 8 dw = k(250 w), where w is weight in pounds and t is time in years. dt W 300 250 200 Tr r 150 100 50 10 t W 200 150 100 50 2 4 6 8 10 t 2 4 6 8 10 t

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