Solve the following ordinary differential equation: dx 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 xs. 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. Solve the following ordinary differential equation: dx 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 xs. 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