- #1

yangshi

- 19

- 0

## Homework Statement

( V

^{1.4}A

^{.4}C1 - (1/V) ) dV = dA / A

C1 is a constant, V=f(x), A=.25*pi*(.022

^{2}- x

^{2})

I'm trying to simplify the equation into a form with no integrals or derivatives, so I can put it into MATLAB to spit out an expression for V as a function of x. Or is it possible to put all this into MATLAB (r2011a)? Sorry about the notation; I'm new to this.

## Homework Equations

## The Attempt at a Solution

Derived this expression from Euler's, energy, ideal gas, continuity, and calorically perfect equations for compressible, isentropic flow. If I integrate both sides, I have trouble integrating:

V

^{1.4}A

^{.4}dV

It seems I have to know V(x) in the first place to integrate with respect to V.