Hi there, how can i solve this first order partial differential equation:(adsbygoogle = window.adsbygoogle || []).push({});

grad p= (0,0,-ρg)

where p=p(x,y,z,t) is pressure

where ρ=ρ(x,y,z,t) is density

where grad p is in three dimensional Cartesian coordinates

can i just separately solve the three differential equations?

ie dp_{x}/dx = 0

dp_{y}/dy = 0

dp_{z}/dz=-ρg

But im confused as p is not a vector function itself. so the final answer cannot be in the form p=(p_{x},p_{y},p_{z})

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# First order partial diff eqn

**Physics Forums | Science Articles, Homework Help, Discussion**