# Are these partial or ordinary differential equations?

1. Jan 3, 2012

### cris(c)

1. The problem statement, all variables and given/known data

Consider the following system of (first order) differential equations:
$\dot{x}=f(t_1,x,y,z)$
$\dot{y}=g(t_2,x,y,z)$
$\dot{z}=h(t_3,x,y,z)$

where $\dot{x}=\frac{\partial x}{\partial t_1}$, $\dot{y}=\frac{\partial y}{\partial t_2}$, and $\dot{z}=\frac{\partial z}{\partial t_3}$.

2. Relevant equations

Is this a system of partial differential equations?

3. The attempt at a solution

I believe it is because there are more than one 'independent' variable. But I am not quite sure of this...