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Thanks anyway ;)

Not really. The d(a+bi)/dt actually appears as stochastic evolution used in quantum optics. Then, sqrt (a+bi) = sqrt(r)cos (theta/2) + i sqrt(r)sin(theta/2), can I use this form directly in the calculation?

Ok. really sorry for the confusing question. let me try again, lets say we have sample problem of the following form; d(a+ib)/dt =a+b+ai+ 2bi then, da/dt = a+b db/dt = a+2b these equations are to be solve numerically, simultaneously. I want to do the same for d(a+ib)/dt =sqrt(a+ib) the...

My intention is to solve the equation numerically. if (x) is a function of time, the derivative of f = √(x) is straightforward & can be easily programmed. in my case however, the i must be taken out from the sqrt so that it can be eliminated. *note, a&b is a function of t.

Hello everyone. Need help with the following; Case A; d(a+ib) = a+ib , i is a complex number dt) and da = a and db = b dt .............dt Case B; d(a+ib) =sqrt (a+ib) (dt) what is da and db in this case? ...........dt .......dt any suggestion? Thanks.