Laplace transform has the advantage of directly giving the solution of differential equation with the given boundary values without the necessity of first finding the general solution and then transform any real or complex variable bearing function into the integral form. In case of more then two and three variables so as for thermo dynamical phenomenae some variables are kept constant and partial differentiation comes into play. Wave equation, heat equation etc. are such equation which may not be solved with the help of Laplace operator L. So these types of problem on which Laplace operator...