A tank initially holds 100 gal of a brine solution containing 1 Ib of salt. At t = 0 another brine solution containing 1 Ib of salt per gallon is poured into the tank at the rate of 3 gal/min, while the well- stirred mixture leaves the tank at the same rate. Find the time at which the mixture in the tank contains 4.1 lb of salt. Express your answer in minutes and round-off to three (3) decimal places.

Q: dy dt ty 1-2X=65+

A:

Q: Consider the differential equation.

A: Solution: The objective is to find r(t)

Q: What are modeled with differential equations?

A: Here we define the differential equations.

Q: Find the solution to the differential equation   that passes through the origin.   z=

A: As the solution function to the given differential equation, passes through the origin we will have:…

Q: solve the differential equation for p x + 2(xp-y) + p^2 = 0

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.