1 9. A tank contains 60 gallons of a sugar solution. A solution containing ; pound of sugar per gallon of water is pumped into the tank at rate of 6 gallons per minute. The contents of the tank are kept well-mixed and the tank is drained at the same rate, 6 gallons per minute. Let y be the amount of sugar in the tank (in pounds) at time t (in minutes). Write a differential equation satisfied by y. 3 6 – 60y dy (A) dt 60 3 – 6y dy (B) dt 12 dy 6 – 3y dt 12 dy 120 – 6y (D) dt %3D 60 dy 60 – 6y dt 60 O (A) O (B) O (C) (D) O (E)

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.