prove the differentials

7. (1) ( ) The following equations explains the change in Mach number as a result of compressible fluid flow under adiabatic conditions in a constant area duct Ma [1+z+M] (vm dma 1-M2 2 Prove that the above differential form can be converted to following equation after integration using suitable integration limits. Lmax _ 1 - May + 1 (y + 1)M 4f + In D yM 2y 2(1+%22M) Where "Lmx" is the maximum length to reach at chocked condition