LIF Neuron Equation Solution for arbitrary time-dependent current (Neural Dynamics)

  • Context: Undergrad 
  • Thread starter Thread starter gigorina
  • Start date Start date
  • Tags Tags
    Differential equation
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
Sign up Log in
0 replies · 3K views
gigorina
Messages
1
Reaction score
0
In the book Neural Dynamics: https://neuronaldynamics.epfl.ch/online/Ch1.S3.html

There is a solution to the following differential equation (LIF Neuron) for arbitrary time-dependent current. I was trying to figure out the steps the author took to get to the solution.

Original Equation:
Screenshot 2024-01-07 at 21.49.10.png

Solution:
Screenshot 2024-01-07 at 21.49.02.png