MATH..-HELP ME PLEASE GUYS..THIS DUE TMORROW!!!!..

posted by .

Suppose tank A consist of 500 liter brine with 500gm salt dissolved in it, whereas in tank B containing 500 liter of water. Water is allowed to enter tank A at a rate of 30 liter/minute, and that mixed solution flow from tank A to tank B at a rate of 40 liter/minute. At the same time, 10 liter/minute were pumped back from tank B to tank A, while the mixed solution also is drained from tank B at a rate of 30 liter/minute as shown in figure. Let’s represent the amount of salt in tank A and tank B respectively, so the rate of change of the amount of salt in each tank can be formulated as following system:



Find the particular solution for



dx/dt = - (40/500)x + (10/500)y dy/dt = 40/500x - (10/500 + 30/500)y

  • MATH..-HELP ME PLEASE GUYS..THIS DUE TMORROW!!!!.. -

    $500 for small hint at correct answer. $900,000,000 for elimination of one incorrect answer. Anything lower will result in ad spam.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    Tank 1 initial contains 70 L (liters) of water and 450 g of salt, while tank 2 initially contains 20 L of water and 200 g of salt. Water containing 10 g/L of salt is poured into tank1 at a rate of 1 L/min while the mixture flowing …
  2. Calculus

    A large tank is filled with 200 gallons of pure water. Brine containing 1 pound of salt per gallon is pumped into the tank at the rate of 5 gallon per minute. The well-mixed solution is pumped out at the same rate. (a) Find the number …
  3. Differential Equations

    A tank originally contains 5 lb of salt dissolved in 200 gal of water: Starting at time t=0, a salt solution containing 0.10 lb/gal is to be pumped into the tank at a constant rate and the well-stirred mixture is to flow out of the …
  4. Calculus

    An inverted conical tank is being filled with water, but it is discovered that it is also leaking water at the same time. The tank is 6 meters high and its diameter at the top is 4 meters. The water is being added to the tank at a …
  5. chemical calculations

    Brine from a first tank runs into a second tank at 2 gallons per minute and brine from the second tank runs into the first at 1 gallon per minute.Initially,there are 10 gallons of brine containing 20 lb of salt in the first tank and …
  6. linear

    Suppose that we have a system consisting of two interconnected tanks, each containing a brine solution. Tank A contains x(t) pounds of salt in 200 gallons of brine, and tank B contains y(t) pounds of salt in 300 gallons of brine. The …
  7. linear algebra

    Suppose that we have a system consisting of two interconnected tanks, each containing a brine solution. Tank A contains x(t) pounds of salt in 200 gallons of brine, and tank B contains y(t) pounds of salt in 300 gallons of brine. The …
  8. calculus

    500-gallon tank initially contains 200 gallons of brine containing 100 pounds of dissolved salt. Brine containing 2 pounds of salt per gallon flows into the tank at the rate of 4 gallons per minute, and the well-stirred mixture flows …
  9. Calculus

    A tank contains 100 grams of a substance dissolved in a large amount of water. The tank is filtered in such a way that water drains from the tank, leaving the substance behind in the tank. Consider the volume of the dissolved substance …
  10. Calculus

    A tank contains 100 grams of a substance dissolved in a large amount of water. The tank is filtered in such a way that water drains from the tank, leaving the substance behind in the tank. Consider the volume of the dissolved substance …

More Similar Questions