
\magnification=\magstep2


$$
y'(t) \quad = \quad f(t) \qquad {\rm (but\ not\ a\ function\ of\ y)}
$$

$$
y'(t) \quad = \quad - (9.8 {{m}\over{s^2}}) \thinspace t \thinspace + v_0
$$

$$
y_{i + 1} \quad = \quad y_i \ + \ y'_i \thinspace dt
$$

$$
y_{i + 1} \quad = \quad y_i \ + \ {{1}\over{2}} (y'_i + y'_{i+1}) \thinspace dt
$$

$$
y_{i + 1} \quad = \quad y_i \ + \ {{(y'_i \ + \  4 y'_{i+1/2} \ + \ y'_{i+1})}\over{6}} \thinspace dt
$$

\bye
