Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 3gal/min, and when the solution is well stirred, it is then pumped out at the same rate. Determine a differential equation for the amount of salt, , in the tank at time .
Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 3gal/min, and when the solution is well stirred, it is then pumped out at the same rate. Determine a differential equation for the amount of salt, , in the tank at time .
Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 3gal/min, and when the solution is well stirred, it is then pumped out at the same rate. Determine a differential equation for the amount of salt, , in the tank at time .
Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 3gal/min, and when the solution is well stirred, it is then pumped out at the same rate. Determine a differential
equation for the amount of salt, , in the tank at time .
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
Expert Solution
Step 1
Given, Initially, the tank holds 300 gallons of water in which 50 pounds of salt have been dissolved.
And the rate of pure water pumped in the tank is 3 gal/min. When the solution is stirred then pumped out at the same rate. Now, we have to determine the differential equation for the amount of salt in the tank at a time.
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