I stumbled upon equation j and l in my research.
I found some books related to fluid dynamics, it says solution to j is the formula k
(it didn't give the procedure, just solution)
as you can see j and l looks similar. and similar boundary condition and mass balance.
Assuming that solution to j is k, Is there any method to solve l and get the formula of h2?
I tried to solve j analytically by using separation of variables, but it gives second order nonlinear ODE; and I made Wolfram Alpha solve it. but still it didn't respond.
so I decided to circumvent reaching the solution by using the similarity