24. Initially, a tank contains 400 L of water with 10 kg of salt in solution. Water containing 0.1 kg of salt per liter (L) is entering at a rate of 1 L/min, and the mixture is allowed to flow out of the tank at a rate of 2 L/min. Let Q(t) be the amount of salt at time t measured in kilograms. What is the right formulation of the differential equation for Q(t)? 2Q(t) O dQ = 0.1 dt - 400 + t dQ 2Q(t) = 0.1 dt 400 – t O dQ 10 2Q(t) - dt 400 400 +t O dQ = 0.1 2Q(t) dt 400 O dQ 0.1 2Q(t) dt 400 400 – t -

24. Initially, a tank contains 400 L of water with 10 kg of salt in solution. Water containing 0.1 kg of salt per liter (L) is entering at a rate of 1 L/min, and the mixture is allowed to flow out of the tank at a rate of 2 L/min. Let Q(t) be the amount of salt at time t measured in kilograms. What is the right formulation of the differential equation for Q(t)? 2Q(t) O dQ = 0.1 dt - 400 + t dQ 2Q(t) = 0.1 dt 400 – t O dQ 10 2Q(t) - dt 400 400 +t O dQ = 0.1 2Q(t) dt 400 O dQ 0.1 2Q(t) dt 400 400 – t -

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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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

24. Initially, a tank contains 400 L of water with 10 kg of salt in solution. Water containing
0.1 kg of salt per liter (L) is entering at a rate of 1 L/min, and the mixture is allowed
to flow out of the tank at a rate of 2 L/min. Let Q(t) be the amount of salt at time
t measured in kilograms. What is the right formulation of the differential equation for
Q(t)?
O dQ
2Q(t)
0.1
dt
400 + t
O dQ
= 0.1
2Q(t)
dt
400 – t
-
dQ
10
2Q(t)
dt
400
400 +t
dQ
2Q(t)
= 0.1
-
dt
400
2Q(t)
400 – t
O dQ
0.1
dt
400
-

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