I am trying to solve a differential equation of the form:
r'[t]==Real[F d[t]]+C r[t]
When C is a constant, F is a complex constant, and r[t] and d[t] are complex functions. I want to solve for r[t] and d[t] (there is another equation of a similar form) The function DSolve doesn’t work with this syntax, and the problem is the Real[F d[t]] since when I remove the Real, Mathematica solves it.
Can anyone help?
Thanks a lot!
Real[] is used within Mathematica to indicate that the argument is a real constant.
Re[] is used to extract the real part of a potentially complex value. Is that perhaps more what you are looking for?
C is a reserved name within Mathematica. In rare cases it is possible to use C without conflicts. Using lower case for user names is often safer.
If you could provide more details it might be easier to provide suggestions.
If by Real you meant the real part of a complex number, Mathematica gives a symbolic solution this way:
DSolve[r'[t] == Re[F d[t]] + C r[t], r[t], t]