Question: please use MATLAB code to slove this equation and please write the solution with details 2. Consider the following equation tu=21tx(1x)x22u,x(0,1),t>0, subject to the conditions

please use MATLAB code to slove this equation and please write the solution with details

2. Consider the following equation tu=21tx(1x)x22u,x(0,1),t>0, subject to the conditions u(0,t)=0=u(1,t),t0u(x,0)=x(1x),0x1 Discretize the given problem both with either explicit or implicit finite difference schemes. Implement these schemes through MATLAB to find the numerical solution of the given problem. Plot your solutions at t=0.4 and compare them with the exact solution given by u(x,t)=x(1x)et2

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