So the solution to an ODE derived in Heat and Mass Transfer is

where x=fn(z)

where,

and

Our professor gave us the answer with the applied boundary conditions as follows:

where

which i do not know how to derive at the end!!!

He also gave us a trick which involves manipulating the c1 and c2 constants, as follows:

Let

&

Thus

becomes

Good luck for whoever tries to solve this, I will indeed give you the title of "The Beast" in this forum...I am counting on you guys,

**i need to know the procedure to solve this on my final**