# Systems of Nonlinear Differential Equations

1. Sep 4, 2009

### Aline Rocha

Hi,
I trying to solve a system of Nonlinear Differential Equations.
I'm using Runge-Kutta on the Differential equations and Newton Method
for the system. I have some doubts in how to create the JAcobian to the
differential equations.

Thank you,
Aline

2. Sep 4, 2009

### CFDFEAGURU

What are the equations? Hard to help when there are no equations.

Thanks
Matt

3. Sep 4, 2009

### Aline Rocha

I have in my system a equation like this:

$$\frac{dy}{dx}$$=$$\sum\frac{By}{M1}$$

B and M1 are constats.

When I apply the Runge-Kutta I have:

y$$_{i}$$=y$$_{i-1}$$+$$\frac{h}{6}$$(k1+2k2+2k3+k4)

My doubt is: How do I incert this in the equation of the system to build the Jacobian?

Thaks,
Aline

4. Sep 4, 2009

### Aline Rocha

Before discuss my question I have to learn how to post using the Latex.
Do you know why this happened?