# using logistic differential equatin (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)
```

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