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

  • #1
gigorina
1
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
 

Similar threads

I On sub and super solutions: Teschl and others
Replies
5
Views
1K
I On error estimates of approximate solutions
Replies
1
Views
1K
I When is a Constant a Solution to a Differential Equation
Replies
11
Views
2K
I Real ODE yields real solution through complex numbers
Replies
3
Views
2K
I Verifying properties of Green's function
Replies
1
Views
1K
I On the approximate solution obtained through Euler's method
Replies
1
Views
1K
I Are Maxwell's equations linearly dependent?
Replies
13
Views
898
I Runge-Kutta 4 w/ some sugar on the top: How to do error approximation?
2
Replies
65
Views
3K
A Determine PDE Boundary Condition via Analytical solution
Replies
1
Views
2K
A How to get a converging solution for a second order PDE?
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top