4. A tank contains 200 liters of fluid in which 30 grams of salt are dissolved. Brine containing 2 grams of salt per liter is then pumped into the tank at a rate of 4 L/min . The well mixed solution is pumped out at a faster rate of 5L/ min. Set up an initial value problem (a differential equation with an initial condition) to find the amount of salt Q(t) in the tank at any time t. (Do not solve the equation).

Q: A tank initially contains 100 L of fresh water. Solution 1 is a brine solution containing 3 kg of…

A: Given Data: Let us consider the given data, A tank initially contains 100 L of fresh water. Solution…

Q: The water temperature T in a tank takes 20 minutes to decrease from 100°C to 60°C. The temperature…

A:

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.