Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
One thing of which hobbits are particularly fond (besides 'Old Tobey') are their ales, and Merry and Pippin enjoyed many different ones on their journeys abroad. Even though they still preferred their flagons from the Green Dragon the most, Pippin asked some Men along the way how they made their brews. This is all he remembered for one of the steps: To mix the barley and water, they use a pair of barrels connected by pipes as shown below: Suppose the barrels A and B are filled to their capacities of 30 gallons and 20 gallons, respectively. Moreover, water with barley concentration 1 oz/gal flows into Barrel A at a rate of 1.5 gal/min. Water with barley concentration 3 oz/gal flows into Barrel B at a rate of 1 gal/min. Water flows from Barrel A to Barrel B at a rate of 3 gal/min. Water flows from Barrel B to Barrel A at a rate of 1.5 gal/min. Water drains from Barrel B at a rate of 2.5 gal/min. If we let r(t) and y(t) denote the amount of barley (in ounces) in barrels A and B respectively, we obtain the following system of differential equations: (-)-(0.1 = 0-02) (+) + (¹³) (¹:5). 3 -0.1 0.075

One thing of which hobbits are particularly fond (besides 'Old Tobey') are their ales, and Merry and Pippin enjoyed many different ones on their journeys abroad. Even though they still preferred their flagons from the Green Dragon the most, Pippin asked some Men along the way how they made their brews. This is all he remembered for one of the steps: To mix the barley and water, they use a pair of barrels connected by pipes as shown below: Suppose the barrels A and B are filled to their capacities of 30 gallons and 20 gallons, respectively. Moreover, water with barley concentration 1 oz/gal flows into Barrel A at a rate of 1.5 gal/min. Water with barley concentration 3 oz/gal flows into Barrel B at a rate of 1 gal/min. Water flows from Barrel A to Barrel B at a rate of 3 gal/min. Water flows from Barrel B to Barrel A at a rate of 1.5 gal/min. Water drains from Barrel B at a rate of 2.5 gal/min. If we let r(t) and y(t) denote the amount of barley (in ounces) in barrels A and B respectively, we obtain the following system of differential equations: (-)-(0.1 = 0-02) (+) + (¹³) (¹:5). 3 -0.1 0.075

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question

please do not provide solution in image format thank you!

4. One thing of which hobbits are particularly fond (besides 'Old Tobey') are their ales, and Merry and Pippin enjoyed many different ones on their journeys abroad. Even though they still preferred their flagons from the Green Dragon the most, Pippin asked some Men along the way how they made their brews. This is all he remembered for one of the steps: To mix the barley and water, they use a pair of barrels connected by pipes as shown below: in Suppose the barrels A and B are filled to their capacities of 30 gallons and 20 gallons, respectively. Moreover, water with barley concentration 1 oz/gal flows into Barrel A at a rate of 1.5 gal/min. Water with barley concentration 3 oz/gal flows into Barrel B at a rate of 1 gal/min. Water flows from Barrel A to Barrel B at a rate of 3 gal/min. Water flows from Barrel B to Barrel A at a rate of 1.5 gal/min. Water drains from Barrel B at a rate of 2.5 gal/min. If we let r(t) and y(t) denote the amount of barley (in ounces) in barrels A and B respectively, we obtain the following system of differential equations: (~) = (-0.1¹ -0.1 0.075) -0.2/ 075) (3) + (¹:5). 3
Transcribed Image Text:4. One thing of which hobbits are particularly fond (besides 'Old Tobey') are their ales, and Merry and Pippin enjoyed many different ones on their journeys abroad. Even though they still preferred their flagons from the Green Dragon the most, Pippin asked some Men along the way how they made their brews. This is all he remembered for one of the steps: To mix the barley and water, they use a pair of barrels connected by pipes as shown below: in Suppose the barrels A and B are filled to their capacities of 30 gallons and 20 gallons, respectively. Moreover, water with barley concentration 1 oz/gal flows into Barrel A at a rate of 1.5 gal/min. Water with barley concentration 3 oz/gal flows into Barrel B at a rate of 1 gal/min. Water flows from Barrel A to Barrel B at a rate of 3 gal/min. Water flows from Barrel B to Barrel A at a rate of 1.5 gal/min. Water drains from Barrel B at a rate of 2.5 gal/min. If we let r(t) and y(t) denote the amount of barley (in ounces) in barrels A and B respectively, we obtain the following system of differential equations: (~) = (-0.1¹ -0.1 0.075) -0.2/ 075) (3) + (¹:5). 3
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS