Problem 5. A tank contains 13 liters of water to start, 9.5 liters of water flow into the tank while 3.5 liters of water flow out of the tank per minute. Write a differential for the amount of water A(t) (in liters) in the tank at time t in minutes. A(0) = = 0 Solve the differential equation: A(t) = dA Note: use A,A', etc instead of A(t), d✓ (t) in dt your answers. After you set up your differential equation you will have to set it equal to zero so that WeBWorK will understand your answer, do this in a way so that the highest order derivative has a positive coefficient.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.Very very grateful!Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it carefully and give your own answer. You can borrow ideas from gpt, but please do not believe its answer.
 
Very very grateful!
Problem 5.
A tank contains 13 liters of water to start,
9.5 liters of water flow into the tank while 3.5 liters
of water flow out of the tank per minute. Write a
differential for the amount of water A(t) (in liters) in
the tank at time t in minutes.
A(0)
=
= 0
Solve the differential equation: A(t)
=
dA
Note: use A,A', etc instead of A(t), d✓ (t) in
dt
your answers. After you set up your differential
equation you will have to set it equal to zero so that
WeBWorK will understand your answer, do this in a
way so that the highest order derivative has a
positive coefficient.
Transcribed Image Text:Problem 5. A tank contains 13 liters of water to start, 9.5 liters of water flow into the tank while 3.5 liters of water flow out of the tank per minute. Write a differential for the amount of water A(t) (in liters) in the tank at time t in minutes. A(0) = = 0 Solve the differential equation: A(t) = dA Note: use A,A', etc instead of A(t), d✓ (t) in dt your answers. After you set up your differential equation you will have to set it equal to zero so that WeBWorK will understand your answer, do this in a way so that the highest order derivative has a positive coefficient.
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