Initial Value Problem
(a) (9 points) Solve the initial value problem y00 + 16y = δ(t−1) y(0) = 0, y0(0) = 0 where δ(t−1) is the Dirac delta function at t0 = 1.
(b) (3 points) Let yk(t) denote your solution from part (a) and let ˆ y(t) denote your solution from part (a). Show that when t = 2
lim k→+∞
yk(2) = ˆ y(2)
Just answer question B and C is ok
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