State Bernoulli's equation and list its assumptions.

Bernoulli's equation states that for steady, incompressible, inviscid flow along a streamline: P₁/ρg + V₁²/2g + z₁ = P₂/ρg + V₂²/2g + z₂, where P is pressure, V is velocity, z is elevation, ρ is density, and g is gravitational acceleration. The key assumptions are: (1) flow is steady, (2) flow is incompressible, (3) flow is inviscid (frictionless), (4) flow is along a streamline, and (5) no work is done by or on the fluid between the two points.