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Difficulty
Introductory
Suggested time
3 min
Marks
2

Slope fields and Euler’s method practice question 2

A drug is given by a steady intravenous drip and cleared by the body at a rate proportional to the amount present, so the amount Q(t)Q(t), in mg after tt hours, satisfies dQdt=8−0.4Q\dfrac{dQ}{dt} = 8 - 0.4Q. For exactly one value of the constant bb, the function Q(t)=b+Ce−0.4tQ(t) = b + Ce^{-0.4t} is a solution for every constant CC. Find bb.

mg

A number.

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Theory UBC Math 100 §11.2Key results

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