Water flows into a tank, and a certain part of it drains out through a valve. The volume v (in cubic feet) of water in the tank at time t satisfies the equation dv/dt = 5 − (v/3). If the process continues for a long time, how much water will be in the tank? a. 13 cubic feet b. 14 cubic feet c. 15 cubic feet d. 16 cubic feet

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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.