Abstract
This chapter discusses partial differential equations (PDEs). It begins by presenting elementary cases of PDEs, which highlights that PDEs give rise to 'functions of integration', in contrast to ordinary differential equations (ODEs), which have 'constants of integration'. The chapter then focuses on one method of solving PDEs: the separation of variables. The power of the technique lies in its ability to reduce a PDE to an equivalent set of ODEs. On a practical note, the choice of the constant used and the subsequent order in which the boundary conditions are implemented plays an important part in facilitating a successful outcome. In this context, the recommended preliminary diagram is helpful because it suggests that the solution of the PDE will be a decaying function in the x direction and an oscillatory one in y.
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