Question

4. *
If F does not contain x explicitly then Euler's equation reduces to
F+ y gF/gy=c​

Answer 1

Answer:

sorry I don't understand

Step-by-step explanation:

please follow me

Answer 2

Answer:

In fluid dynamics, the Eulers equations are a set of quasilinear partial differential equation governing adiabatic and inviscid flows. They are named after Leonhard Euler. In particularly, they correspond to the Navier–Stokes equations with zero viscosity and also zero thermal conductivity.

The Eulers equation can be applied to incompressible or compressible flow. The incompressible Eulers equation consist of Cauchy equations for conservation of mass and balance of the momentum, together with the incompressibility condition in the flow velocity is a solenoidal field. The compressible Eulers equation consist of equations for conservation of mass, balance of momentum, balance of energy, together with a suitable constitutive equations for the specific energy density of the fluid. Historically, only the equations of conservations of mass and balance of momentum were derived by Eulers. However, fluid dynamics literature often refers to the full set of the compressible Eulers equation – including the energy equation – as "the compressible Euler equations".

The mathematical character of the incompressible and compressible Eulers equation are rather different. For constant fluid density, the incompressible equations can be written as a quasilinear advection equations for the fluid velocity together with an elliptic Poisson's equation for pressure. On the other hand, the compressible Euler equations form a quasilinear hyperbolic systems of conservation equation.

#SPJ2