From my model I get a differential equation in which there is a term which explicitly depends on initial conditions,
the equation is of the form,
$\frac{dx(t)}{t} = a x^2 + b x(t) + f(x_0)$
Where, $x_0$ is an initial condition for the system.
I dont understand if its physible to have such an equation and if yes what does it tell me about the system. Like anything special about the system, its properties etc.
I suspect its something to do with Delay differential equations but i really have no background to understand it firmly.
Any suggestions, any hint will count a lot as i am totally blank on this one.
Thank you very much in advance.
Thanks,
Nitin