Problem 2: Solve the following ordinary differential equation: dy-5y dx y(0)-1-(1)-0 using the finite-difference approach with the domain discretized into 5 segments. a) Draw the discretized domain with the corresponding nodes and segment length Ax. Using a centered difference, write an approximate expression for the ODE at the interior nodes Xi. b) Write the boundary conditions at the boundary nodes xo and X5. Use a centered difference and an imaginary node x6. Express y(x6) in terms of the function y evaluated at (a) physical node(s). c) Write down all the equations that you need to solve the problem for all the unknowns, and then write them down in matrix format.