A tank contains 13 gallons of water to start, 9.5 gallons of water flow into the tank while 6 gallons of water flow out of the tank per minute. Write a differential for the amount of water A(t) (in gallons) in the tank at time t in minutes. = 0 A(0) = Solve the differential equation: A(t) = Note: use A,A', etc instead of A(t), A'(t) in 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.
A tank contains 13 gallons of water to start, 9.5 gallons of water flow into the tank while 6 gallons of water flow out of the tank per minute. Write a differential for the amount of water A(t) (in gallons) in the tank at time t in minutes. = 0 A(0) = Solve the differential equation: A(t) = Note: use A,A', etc instead of A(t), A'(t) in 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
Problem 1RQ
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Transcribed Image Text:A tank contains 13 gallons of water to start, 9.5 gallons of water flow into the tank while 6
gallons of water flow out of the tank per minute. Write a differential for the amount of water A(t) (in
gallons) in the tank at time t in minutes.
= 0
A(0) =
Solve the differential equation: A(t) =
Note: use A,A', etc instead of A(t), A'(t) in 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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