A tank initially contains 10 gallons of brine in which is dissolved 10 pounds of salt. At t = 0 a salt solution containing a concentration of 4 Ib/gal is poured into the tank at a rate of 2 gal/min, while the well-stirred mixture leaves the tank at the same rate. Construct the initial value problem (differential equation and initial condition) that will yield the amount of salt in the tank at any time t. Do not solve

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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.