PROBLEM 3 : (25 pts) Consider the following equation for an elastic string, -1"() = (1-2) 0

PROBLEM 3 : (25 pts) Consider the following equation for an elastic string, a) Find the exact solution by solving the ODE above. b) Set up a Finite Element approximation "B (x) LESiug nodes and compute the approximation for N 5 and N 10. c) Compare u(xj) with uh(xj) i.e. compare the exact to the approximate solu tian at the nodts.