Differential Equations:The rate of change of the mass, Q, of salt at time t is proportional to the square of the mass of salt present at time t. Initially, there is 10 grams of salt present.(a) Solve this initial value problem:=??2 where ?(0)=10b) Experimentally, we know that after 10 hours there are 4 grams of salt present. Use this to determine the proportionality constant k.(c) Based on your solution find the time when (?)<1.

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Answered: Differential Equations: The rate of…

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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Differential Equations:

The rate of change of the mass, Q, of salt at time t is proportional to the square of the mass of salt present at time t. Initially, there is 10 grams of salt present.

(a) Solve this initial value problem:=??² where ?(0)=10

b) Experimentally, we know that after 10 hours there are 4 grams of salt present. Use this to determine the proportionality constant k.

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