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using logistic differential equatin

I’m trying to reproduce some results from Ti Nspire CAS to use a differential equation. Only secondarily am I interested to actually solve the differential equation.

My Ti Nspire codes is as follows

deSolve(y’ = 2*10^(-5)*y(1500-y) and y(0) = 50, t, y)

and yields the following result

y = 1500*e^((3*t)/100) / (e^((3*t)/100) + 29)

image description

Can anyone give me a hit as to how I can do this in Sagemath?

using logistic differential equatinequatin (reproducing Ti Nspire CAS code)

I’m trying to reproduce some results from Ti Nspire CAS to use a differential equation. Only secondarily am I interested to actually solve the differential equation.

My Ti Nspire codes is as follows

deSolve(y’ = 2*10^(-5)*y(1500-y) and y(0) = 50, t, y)

and yields the following result

y = 1500*e^((3*t)/100) / (e^((3*t)/100) + 29)

image description

Can anyone give me a hit as to how I can do this in Sagemath?