For the next three questions, consider the two-tank system shown below. Each of the two tanks contains 200 gallons of water in which fertilizer is dissolved. Let y1 (t) and Y2(t) correspond to the fertilizer content in tank 1 and tank 2, respectively. 12 gal/min 4 gal/min (Pure water) T 16 gal/min 12 gal/min
For the next three questions, consider the two-tank system shown below. Each of the two tanks contains 200 gallons of water in which fertilizer is dissolved. Let y1 (t) and Y2(t) correspond to the fertilizer content in tank 1 and tank 2, respectively. 12 gal/min 4 gal/min (Pure water) T 16 gal/min 12 gal/min
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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![For the next three questions, consider the two-tank system shown below. Each of the two
tanks contains 200 gallons of water in which fertilizer is dissolved. Let y1 (t) and Y2(t)
correspond to the fertilizer content in tank 1 and tank 2, respectively.
12 gal/min
4 gal/min
(Pure water)
T
16 gal/min
12 gal/min](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdaac21bf-86ce-44eb-9c29-af103f7b76f0%2F0b4e1654-d087-4393-8bf4-27e233ca81b3%2Fz5arb6k_processed.png&w=3840&q=75)
Transcribed Image Text:For the next three questions, consider the two-tank system shown below. Each of the two
tanks contains 200 gallons of water in which fertilizer is dissolved. Let y1 (t) and Y2(t)
correspond to the fertilizer content in tank 1 and tank 2, respectively.
12 gal/min
4 gal/min
(Pure water)
T
16 gal/min
12 gal/min
![2.Which of the following functions describe the amount of fertilizer in tank 1 (y1) at any time t?
A.y1
2c1e.
0.04t
- 2c2e0.12t
B.y1
= cje0.04t
+ cze0.12t
-0.04t
C.y1 = cie
-0.12t
+ c2e
0.04t
D.y1
2c1e
2c2e
-0.12t
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdaac21bf-86ce-44eb-9c29-af103f7b76f0%2F0b4e1654-d087-4393-8bf4-27e233ca81b3%2F72dbguw_processed.png&w=3840&q=75)
Transcribed Image Text:2.Which of the following functions describe the amount of fertilizer in tank 1 (y1) at any time t?
A.y1
2c1e.
0.04t
- 2c2e0.12t
B.y1
= cje0.04t
+ cze0.12t
-0.04t
C.y1 = cie
-0.12t
+ c2e
0.04t
D.y1
2c1e
2c2e
-0.12t
-
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