# Thread: Jacobian Matrix and differential equation

1. ## Jacobian Matrix and differential equation

Consider the function f : ℝ2 → ℝ2 given by Then we have and and the Jacobian matrix of F is and the Jacobian determinant is I know how to find Jacobian Matrix and its determinant.

How can I use Jacobian's in differential equations? Is it possible to give an example with a differential equation?

2. ## Re: Jacobian Matrix and differential equation

This is literally Example #1 in the Wikipedia article on Jacobian matrices. Is that where you got it from? Because if you read examples 2 through 4, it gives examples of how it is possible to use.

3. ## Re: Jacobian Matrix and differential equation Originally Posted by SlipEternal This is literally Example #1 in the Wikipedia article on Jacobian matrices. Is that where you got it from? Because if you read examples 2 through 4, it gives examples of how it is possible to use.
But I got it from wikipedia. But couldn't I use it to find the solutions of certain differential equations?

4. ## Re: Jacobian Matrix and differential equation

What differential equations are you trying to use it for? You chose the one example where they did not show how to use the Jacobian, but ignored the two examples where they show it is used for a change of coordinates?