Example 1 The tank in Fig. I contains 1000 gal of water in which initially 100 lb of salt is dissolved. Brine runs in at a rate of 10 gal/min, and each gallon contains 5 lb of dissolved salt. The mixture in the tank is kept uniform by stirring. Brine runs out at 10 gal/min. Find the amount of salt in the tank at any time t.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Example 1
The tank in Fig. 1 contains 1000 gal of water in which initially
100 lb of salt is dissolved. Brine runs in at a rate of 10 gal/min, and
each gallon contains 5 lb of dissolved salt. The mixture in the tank is
kept uniform by stirring. Brine runs out at 10 gal/min. Find the
amount of salt in the tank at any time t.
Transcribed Image Text:Example 1 The tank in Fig. 1 contains 1000 gal of water in which initially 100 lb of salt is dissolved. Brine runs in at a rate of 10 gal/min, and each gallon contains 5 lb of dissolved salt. The mixture in the tank is kept uniform by stirring. Brine runs out at 10 gal/min. Find the amount of salt in the tank at any time t.
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