Problem

As the salt KNO3 dissolves in methanol, the number x(t) of grams of the salt in a solution...

As the salt KNO3 dissolves in methanol, the number x(t) of grams of the salt in a solution after t seconds satisfies the differential equation dx/dt = 0.8x − 0.004x2.

(a) What is the maximum amount of the salt that will cver dissolve in the methanol?


(b) If x = 50 when t = 0, how long will it take for an additional 50 g of salt to dissolve?

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Solutions For Problems in Chapter 1.7
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