A large tank initially contains 500 litres of brine in which 5 kilograms of salt is dissolved. Starting at t= 0, brine containing 0.06 kilograms of salt per litre flows into the tank at the rate of 2.5 litres per minute. The mixture is kept uniform by stirrinc and the well-stirred mixture leaves the tank at the rate of 2 litres per minute. • (a) Find the amount of salt (t) in the tank after t minutes. • (b) How much salt is in the tank when the tank contains 1000 litres of brine?

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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.