Using the present method, solve (1)–(4) with h = k = 0.2 for the given initial deflection and initial velocity 0 on the given t-interval.

f(x) = x if 0 = x < 1/5, f(x) = 1/4(1 - x) if 1/5 ≤ x ≤ 1, 0 ≤ t ≤ 1