Using this form of the equation of dN/dt=rN (N t =N t-n + rN t-n ) if there are

Question

Using this form of the equation of dN/dt=rN (Nt =Nt-n + rNt-n )

if there are initially 3000 bugs, which equal N

after one month there are 400 births and 150 deaths

b= B/N

d=D/N

r=b-d

I got 0.133-0.05=0.083

So how many bugs will there be in another month?

I am confused, I dont know if I should add the 400 births and subtract the 150 deaths and use it in the equation, like (3000)+(0.083)(3250)=3269

or do I get just use 3250 for both like

(3250)+(0.083)(3250)=3519

any help would be greatly appreciated

Explanation / Answer

According to the formula Nt =Nt-n + rNt-n

Thus , N at time t equals to N at time (t-n) + rate (i.e dN/dt=rN ).

=> Nt = (3000)+(3000)*(0.083) = 3249.

as in our case N(t-n) = 3000

Hope this helps !!

Related Questions

Navigate

• Browse (All)
• Browse U
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.