d2y dx Consider the following ODE (boundary value problem) +64y = 0, 0x1, (x) ='(0) = 0 and y(1)=-1. In the method of finite differences, the derivatives are approximated by difference equations and the differential equation thus transforms into a system of equations. Using centered finite- difference formulas that are 2nd-order accurate and a set of n = 4 nodes of spacing h= 0.25, transform the ODE into a system of equations that can be solved to obtain the values of yo. Y. Y2, and y3 at these nodes. Express the resulting system of equations in matrix notation. Do NOT solve the system of equations.