York
2021-01-19
Answered

A tank contains 70 gallons of pure water. A brine solution with 2 lbs/gal of salt enters at 2.25 gal/min and the well - stirred mixture leaves at the same rate. Find the amount of salt in the tank at any time and the time at which the brine leaving the tank will contain 15 lbs of salt.

You can still ask an expert for help

delilnaT

Answered 2021-01-20
Author has **94** answers

Form a differential equation that solves the amount of salt at any time t as follows

A(0)= 0

Obtain the time at which the brine leaving the tank will contain 15 lbs of salt as follows

asked 2022-05-21

I am trying to solve the following differential equation using the Laplace Transform:

$L\frac{di}{dt}+Ri=E$

I have managed to reduce it to the following equation:

$I(s)=\frac{E}{sL(s+R/L)}$

But I'm having a problem with it from there. Can somebody help me solve this please? Any help would be much appreciated.

$L\frac{di}{dt}+Ri=E$

I have managed to reduce it to the following equation:

$I(s)=\frac{E}{sL(s+R/L)}$

But I'm having a problem with it from there. Can somebody help me solve this please? Any help would be much appreciated.

asked 2020-12-02

Solve differential equation$x{y}^{\prime}-2{x}^{2}y={e}^{(}{x}^{2})$

asked 2020-10-31

Use integration by parts to find the Laplace transform of the given function

$f(t)=4t\mathrm{cos}h(at)$

asked 2022-06-12

$x{e}^{y}\cdot {y}^{\prime}-2{e}^{y}={x}^{2}$

Solve the equation using the proper substitution

Solve the equation using the proper substitution

asked 2021-09-11

Consider the IVP

asked 2022-07-01

I was solving for the equation of a curve and I arrived at the following differential equation. However I do not know how to solve it:

$\frac{dy}{dx}=\frac{-x+\sqrt{{x}^{2}+{y}^{2}}}{y}$

$\frac{dy}{dx}=\frac{-x+\sqrt{{x}^{2}+{y}^{2}}}{y}$

asked 2021-12-18

Verify that the function $y={e}^{-3x}$ is a solution to the differential equation ${d}^{2}\frac{y}{{dx}^{2}}+\frac{dy}{dx}-6y=0$ ?