Consider the motion of a Brownian particle with an reflecting boundary at x $=$ x$1.$ That is whenever particle reaches x $=$ x$1$ it gets reflected. The equation this random walk follows is the diffusion equation with the initial conditionsuch that the current at x $=$ x$1$ is zero that is $$P$($x $=$ x$1,$ t$)/$x $=0,$given by

$$P$($x$,$t$)=$ D$2$P$($x$,$t$).$t $$x$2$

$.$ Solve the above diffusion equation in this case usin TRANSFORMS only. write a program in python to generate the random walk and plot P$($x$,$t$).$