Hello to Math pros.
I need to simulate a preamplifier output when it reads a single current pulse.
The theory says that the preamp output voltage can be solved with the following equation:
dV/dt = I(t) / C - V/RC,
where V(t) is Voltage we are solving for. I(t) is the known current function that I have in a 1D array t0=0 and time step = 0,01 ms (it's already calculated), it looks similar to a gaussian pulse with the maximum at, say, 2 millisecond from start. C and R are the known constants of the preamplifier circuit (capacitance and resistance).
I have not looked at differential equations in quite a while. I believe this equation is a First-Order Linear Inhomogeneous Differential Equation.
Does anybody know how to solve for V(t) in this case in labview? Perhaps there is an example one can look up?
Thanks in advance!