A tank contains 50-liters of brine in which 20 grams of salt is dissolved. Pure water is being pumped into the tank at a rate of 5 liters/min., the solution is continuously stirred and the well-mixed solution is pumped out at 4 liters/min. Which of the following initial-value problems must be solved to find the amount of salt x= x(t) in the tank at time t? dx A 4x ; x(0) =20 dt 50 +t dx B -; x(0) =20 50 +t dt dx 5 dt X x(0) = 20 50 +t dx 2x dt 25 X(0) =20

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 32
A tank contains 50-liters of brine in which 20 grams of salt is dissolved. Pure water is being pumped
into the tank at a rate of 5 liters/min., the solution is continuously stirred and the well-mixed solution
is pumped out at 4 liters/min. Which of the following initial-value problems must be solved to find the
amount of salt x= x(t) in the tank at time t?
dx
4х
A
x(0) = 20
dt
50 +t
dx
B
; x(0) = 20
dt
50 +t
dx
X
5
50 +t
x(0) = 20
dt
dx
2x
; x(0)=20
25
D.
dt
Transcribed Image Text:Question 32 A tank contains 50-liters of brine in which 20 grams of salt is dissolved. Pure water is being pumped into the tank at a rate of 5 liters/min., the solution is continuously stirred and the well-mixed solution is pumped out at 4 liters/min. Which of the following initial-value problems must be solved to find the amount of salt x= x(t) in the tank at time t? dx 4х A x(0) = 20 dt 50 +t dx B ; x(0) = 20 dt 50 +t dx X 5 50 +t x(0) = 20 dt dx 2x ; x(0)=20 25 D. dt
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