Suppose a student carrying a flu virus returns to an isolated college campus of 6000 students. Determine a differential equation governing the number of students x(t) who have contracted the flu if the rate at which the disease spreads is proportional to the number of interactions between students with the flu and students who have not yet contracted it. (Use k > 0 for the constant of proportionality and x for x(t).)

Step-by-step explanation:

Total Number of Students =6000

Number of students who have contracted the flu =x(t)

Number of students who have not contracted the flu =6000- x(t)

Now, the rate at which the disease spreads is proportional to the number of interactions between students with the flu and students who have not yet contracted it.

Initially, the campus is uninfected, therefore: x(0)=0

Therefore, a differential equation governing the number of students x(t) who have contracted the flu is:

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∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.