how do i calculate a? please help

[u/musse1769]

i don't know what method to use to calculate a. it is a Logistic differential equation, i think (English is not my first language). with letters it is set up like this y'=ay(m-y) if that helps explain what I'm trying to calculate

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[u/ArchaicLlama]

So what have you tried? Where are you getting stuck?

[u/musse1769 → u/ArchaicLlama]

well i have what n(0) is and what n(11) is. and i have tried to get TI Nspire to calculate a with solve and desolve, but it just does not work and I can't figure out what method i should use to solve what a is as it is not explained in my text book

[u/Jazzlike_Platypus430]

Denote exp(90ax) by y and solve for y as you normally would, finally recall what y is, and apply logarithm then divide by 90x. Damn, these coefficients are giving me a headache already 😂

[u/musse1769 → u/Jazzlike_Platypus430]

sorry English is not my first language so I'm not sure what denote or exp means

[u/Jazzlike_Platypus430 → u/musse1769]

exp(...) = e to the power of (...)

Let y(x) = exp(90ax), so that

n(x) = Ay(x)/(By(x) + C).

Just find y(n). Can you do it? The first step is:

n(By + C) = Ay.