Problem $3$:

For $1-$D adiabatic flow, the slope of the Fanno line is given by:

$\frac{dT}{ds}=-\frac{T}{c_v}\frac{M^2}{1-M^2}$

Integrate this relation to obtain an expression for $\frac{T}{T_0}$ versus $\frac{s}{c_v}$ and plot the result.