Dear Wolfram team:
I have been trying for week to solve a system of 2 partial differential equations describing the adsorption of a chemical substance on a fixed bed (for example, a column of activated carbon). The 2 equations are the following, taken from McCabe (1993):


Unfortunately I cannot get past the general solution (with arbitrary constants) because when I try to put boundary conditions the Mathematica program fails. Maybe I am using the wrong command or syntax, or maybe there are too much or too few boundary conditions.
I have left attached the program, where I tryed to simplify the problem combining both equations in a third. Thank you in advance for your help.
Best regards,
Alberto Silva
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