1. Write a differential equation describing the following situation:
The rate at which people become involved in a corporate bribing scheme is jointly proportional to the number of people already involved and the number of people who are not yet involved. Suppose there are a total of 6000 people in the company. Use k for the constant, P for the number of people who are involved in the scheme, and t for time.

The rate at which people become involved in a corporate bribing scheme is jointly proportional to the number of people already involved and the number of people who are not yet involved.

Find:

Write a differential equation

Solution:

- The following differential equation can be used to describe the situation above:

Number of people not affected = N - P

- Hence we can write a differential equation:

dP/ dt = k *( N - P )*P

- input the value of N:

dP/dt = k*(600 - P)*P

andromache andromache · Answer 2 · 2022-02-15T11:27:36+01:00

The differential equation describing represent the given equation is [tex]dP\div dt = k\times (600 - P)\times P[/tex]

Important information:

Total number of people in company N = 6000 and Total people involved in bribery P

Equation:

Here Number of people not affected should be N - P

Now

The differential equation should be

[tex]dP\div dt = k \times ( N - P )\times P[/tex]

Now we input the value of N

So,

[tex]dP\div dt = k\times (600 - P)\times P[/tex]

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