Recall the development of the one-dimensional heat equation. aside from re-defining the problem to provide clarity and succinctness, we assembled 5 assumptions (a1- a5) and utilized two approaches to arrive at a "good" prototype: the infinitesimal approach and the integral approach. you may wish to refer to jossy's summary and the notes. *ch oose one only, of the two approaches and retrace the development of that prototype. the goal is to show the detailed understanding of the development that permits a ready compounding of the prototype. name the succinct re-definition of the problems: d1, d2, d3, d4. present your "retrace" in tabular form; for each of the 8 equations in the development, name the assumptions that were used. identify precisely where each assumption was used (you may use an abbreviated notation such as al for assumption 1, d1 for definition 1, etc) .in addition, identify exactly where various specifications of the redefined problem (in stepl- identification) were used.