Using the forward Euler method to solve y''(t) = f(t), with y(0) = 0 and y'(0)…

GATE · 1997 · CS · Question 4 subparts

Using the forward Euler method to solve y''(t) = f(t), with y(0) = 0 and y'(0) = 0, and step size h, the values of y in the first four iterations are:

  1. A.

    0, h f(0), h(f(0) + f(h)), h(f(0) + f(h) + f(2h))

  2. B.

    0, 0, h^2 f(0), h^2(2f(0) + f(h))

  3. C.

    0, 0, h^2 f(0), 3h^2 f(0)

  4. D.

    0, 0, h f(0) + h^2 f(0), h f(0) + h^2 f(0) + h f(h)

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