please i need answers to the second part of this question

show by method of speration of variables the anayltic solution. check the accuracy and plot the difference between the numerical solution and the exact solution using matlab

3. Calculate a finite-difference solution of the equation ut=uxx,00 satisfying the initial condition u(x,0)=sin(x),for0x1, and the boundary condition u(0,t)=u(1,t)=0,fort>0, using an explicit method with x=0.1 and r=(x)2t=0.1. Show by the method of separation of variables, that the analytical solution is u(x,t)=e2tsin(x). Hence check the accuracy of the numerical solution for t=0.005, and plot the difference between the numerical solution and the exact solution