How to solve or approximate a first order differential equation ?

*To*: mathgroup at smc.vnet.net*Subject*: [mg123207] How to solve or approximate a first order differential equation ?*From*: Dino <dinodeblasio at gmail.com>*Date*: Sat, 26 Nov 2011 05:09:09 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com

Hello everyone, I have this first order differential equation: y'[t] = -A (y[t])^2 + B (C - y[t]) where A and B are unknown constants and C is known constant. One condition is y[0]==0 A and B should be determined by fitting a list of {y[i],t[i]} values. For this reason i would like to approximate my differential equation with a function which I could use to fit the data and find A and B. I don't know how to do this. Any help is highly appreciated. Thanks,