=+2 and at x = 0.95 obtained successively with the mode displacement and the mode acceleration methods, with increasing number of modes in the expansion (e.g. 10, 20 and 50 modes). Compare the quality of the solutions obtained.

Explain.

Finally, plot the response N(x) at x = 

v1===+2 and at x = 0.95 obtained successively with the mode displacement and the mode acceleration methods, also with increasing number of modes in the expansion. Observe the extremely poor rate of convergence of the solution near the tip.

Explain.