4) (25 points) Find the particular solution of the differential equation. Use dy 4×4 separation of variables. dx y4 y(0)=2 5) (15 points) For a certain drug, the amount y(t) remaining in the blood after t hours satisfies y’ = -0.1y with y(0=2 mg. Find y(t) and use your answer to estimate the amount present in the blood after 2 hours. (Hint: use the appropriate unlimited, limited or logistic model from the Models of Growth table. State the model you use and the values of a and c for the model).
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