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0 votes
2 answers
44 views

Query regarding approach to solve a given differential equation.

There's a equation $$N(t) = N(t)\frac{P(t,z)}{B}-C\frac{d(P(t,z))}{dz}$$ $$N(t) = A\frac{dP(t,z)}{dt}$$ Constants: B, C=3.9878*10⁻⁷, $A=0.11941$, Variables: N(t) is a function of t and is defined at a ...
Qwerty's user avatar
  • 101
0 votes
0 answers
21 views

Calculating Rate of Change and using differentials to project 3 years from now

Currently, BC is helping $R=5,000$ refugees. The number of refugees that BC must help is rising at a rate of $\frac{dR}{dt}=1,000$ refugees per year. Currently, the number of staff members is $N=100$ ...
user20194358's user avatar
1 vote
0 answers
41 views

Sequence of Logic in Diffusion Problem DQ

Problem: If a tank is filled with 100 gallons of water and mistakenly added 300 pounds of salt. To fix the mistake the brine is drained at 3 gallons per minute and replaced with water at the same rate....
Harry Alvarado's user avatar
0 votes
1 answer
55 views

Using an expression and an equation to get an ODE to describe something.

I have an expression and an equation, that I need to use to show that ODE describes something. Let me put it into context I have an expression for the Rate at Anti-Freeze flows $\mathcal{IN}$ and $\...
Capt_N3M0's user avatar
0 votes
0 answers
37 views

Help with understanding a differential equation model related to food supply per capita

The growth rate of a population can depend on many factors. For example, it can depend on the amount of food per capita $A$. If $A_0$ is the mimimum amount of food required, one can think of the ...
NotAMathematician's user avatar
0 votes
1 answer
640 views

What are some practical applications of successive differentiation?

Before starting to learn something, I always wonder whats its application. So would you please give some practical examples of application of Successive differentiation and concepts related to it such ...
Aether's user avatar
  • 185