Question 4 □ 0/1 pt 318 Details A 200 gallon tank initially contains 100 gallons of water with 20 pounds of salt. A salt solution with 7/10 pound of salt per gallon is added to the tank at 4 gal/min, and the resulting mixture is drained out at 2 gal/min. Let Q (t) denote the quantity (lbs) of salt at time t (min). (a) Write a differential equation for Q(t) which is valid up until the point at which the tank overflows. Q'(t) = (b) Find the quantity of salt in the tank as it's about to overflow.
Question 4 □ 0/1 pt 318 Details A 200 gallon tank initially contains 100 gallons of water with 20 pounds of salt. A salt solution with 7/10 pound of salt per gallon is added to the tank at 4 gal/min, and the resulting mixture is drained out at 2 gal/min. Let Q (t) denote the quantity (lbs) of salt at time t (min). (a) Write a differential equation for Q(t) which is valid up until the point at which the tank overflows. Q'(t) = (b) Find the quantity of salt in the tank as it's about to overflow.
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:Question 4
□ 0/1 pt 318 Details
A 200 gallon tank initially contains 100 gallons of
water with 20 pounds of salt. A salt solution with
7/10 pound of salt per gallon is added to the tank at
4 gal/min, and the resulting mixture is drained out at
2 gal/min. Let Q (t) denote the quantity (lbs) of salt
at time t (min).
(a) Write a differential equation for Q(t) which is
valid up until the point at which the tank overflows.
Q'(t)
=
(b) Find the quantity of salt in the tank as it's about
to overflow.
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