4. Consider the closed two-tank system where mixed brine flows from tank 1 into tank 2 and from tank 2 into tank 1 at the flow rate of r gallons per minute (see the following figure). The initial amounts x(0) = To and y(0)= yo of salt in the two tanks are given, as are their volumes Vi and V2 gallons. t

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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.