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})

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# First order partial diff eqn

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