As a salt dissolves in methanol, the number x(t) of grams of the salt in a solution after t seconds satisfies the differential equation =1.6x -0.004x²2 dx dt (a) What is the maximum amount of the salt that will ever 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? ... (a) The maximum amount of the salt that will ever dissolve in the methanol is grams. (Simplify your answer.)
As a salt dissolves in methanol, the number x(t) of grams of the salt in a solution after t seconds satisfies the differential equation =1.6x -0.004x²2 dx dt (a) What is the maximum amount of the salt that will ever 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? ... (a) The maximum amount of the salt that will ever dissolve in the methanol is grams. (Simplify your answer.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:As a salt dissolves in methanol, the number x(t) of grams of the salt in a solution after t seconds satisfies the
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differential equation
=1.6x-0.004x²
(a) What is the maximum amount of the salt that will ever 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?
(a) The maximum amount of the salt that will ever dissolve in the methanol is gijams.
(Simplify your answer.)
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