Abdi Tadesse (PhD)Eshetu Abebe2020-12-172023-11-042020-12-172023-11-042014-06-06http://etd.aau.edu.et/handle/123456789/24153This report attempts to study solution of explicit linear PDE of second order, the heat equation u k u f t With certain symmetry condition on the solution u .In this regard, some sort of scaling of variables is introduced and pertinent scaling transformation T that leaves the ratio t x 2 unchanged is shown to usher to a solution of the form: t x u x t v 2 , Which is radial and hence a symmetric function.enCauchy- ProblemHeatEquationThesis