Given that,

$S_{0}$ = slope of the channel bottom,

$S_{e}$ = slope of the energy line,

F= Froude number,

the equation of gradually varied flow is expressed as

- 1
  
  $\frac{d y}{d x} = \frac{S_{0} - S_{e}}{1 + F^{2}}$
- 2
  
  $\frac{d y}{d x} = \frac{S_{0} - S_{e}}{1 - F^{2}}$
- 3
  
  $\frac{d y}{d x} = \frac{S_{0} + S_{e}}{1 + F^{2}}$
- 4
  
  $\frac{d y}{d x} = \frac{S_{0} + S_{e}}{1 - F^{2}}$

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