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A tank contains 30 lb of salt dissolved in 300 gallons of water. a brine solution is pumped into the tank at a rate of 3 gal/min; it mixes with the solution there, and then the mixture is pumped out at
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May 15, 2019
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A tank contains 30 lb of salt dissolved in 300 gallons of water. a brine solution is pumped into the tank at a rate of 3 gal/min; it mixes with the solution there, and then the mixture is pumped out at a rate of 3 gal/min. determine a(t), the amount of salt in the tank at time t, if the concentration of salt in the inflow is variable and given by cin(t) = 2 + sin(t/4) lb/gal.
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Liquinaut
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We're given that
. Multiply both sides by the integrating factor
, then
Given that
, we have
so the amount of salt in the tank at time
is
YuvrajsinhJadeja
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May 22, 2019
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YuvrajsinhJadeja
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