A 50 gallons tank initially contains 10 gal of fresh water. At t = 0, a brine solution  containing 1 lb of salt per gallon is poured into the tank at the rate of 4 gal/min, while the  well-stirred mixture leaves the tank at the rate of 2 gal/min. Find  a. the amount of time required for overflow to occur  b. the amount of salt in the tank at the moment of overflow

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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6. A 50 gallons tank initially contains 10 gal of fresh water. At t = 0, a brine solution 
containing 1 lb of salt per gallon is poured into the tank at the rate of 4 gal/min, while the 
well-stirred mixture leaves the tank at the rate of 2 gal/min. Find 
a. the amount of time required for overflow to occur 
b. the amount of salt in the tank at the moment of overflow

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