Use finite differences with N nodes to approximate this BVP by a system of algebraic equations. Use the centered difference scheme for the first derivatives. Describe the placement of your nodes and show equations for both interior nodes and nodes which involve the boundary conditions. Clearly indicate the number of equations and unknowns and make sure they are equal

The linear mass transfer rate p(CcCd) used in Problem 1 is derived based on the assumption that the contaminant partitions between the fluid and membrane phases according to Henry's law. This is often too approximate. In this problem, we'll consider that this partitioning follows the so-called Dual Sorption model, which ultimately gives a mass transfer rate of the form p((CcCd)+(1+bCcaCc1+bCdaCd)) We will resolve Problem 1 using this expression in place of p(CcCd). This requires a significantly different approach because the BVP is now nonlinear. Use the values