Objective: Set up and solve a boundary value problem using the shooting method by hand or using Matlab. A heated rod with a uniform heat source may be modeled with Poisson equation. The boundary conditions are T(x=0)=40 and T(x=10)=200. dx2d2T=f(x) Use the guess values shown below. zg=linspace(200,100,1000);xin=0:0.01:10; a) Solve using the shooting method with f(x)=25. Name your final solution "TA". b) Solve using the shooting method with f(x)=0.12x32.4x2+12x. Name your final solution "TB". Plot both solutions to Poisson's equation so you can compare them and check your boundary conditions