# HP F2226A - 48GII Graphic Calculator User Manual Page 504

Graphing calculator.

Again, there is a new component to the motion switched at t=3, namely, the
particular solution y
(t) = [1+sin(t-3)]⋅H(t-3), which changes the nature of the
p
solution for t>3.
The Heaviside step function can be combined with a constant function and
with linear functions to generate square, triangular, and saw tooth finite pulses,
as follows:
Square pulse of size U
Triangular pulse with a maximum value Uo, increasing from a < t < b,
decreasing from b < t < c:
⋅ ((t-a)/(b-a)⋅[H(t-a)-H(t-b)]+(1-(t-b)/(b-c))[H(t-b)-H(t-c)]).
f(t) = U
o
Saw tooth pulse increasing to a maximum value Uo for a < t < b,
dropping suddenly down to zero at t = b:
Saw tooth pulse increasing suddenly to a maximum of Uo at t = a, then
decreasing linearly to zero for a < t < b:
Examples of the plots generated by these functions, for Uo = 1, a = 2, b = 3,
c = 4, horizontal range = (0,5), and vertical range = (-1, 1.5), are shown in
the figures below:
in the interval a < t < b:
o
f(t) = Uo[H(t-a)-H(t-b)].
⋅ (t-a)/(b-a)⋅[H(t-a)-H(t-b)].
f(t) = U
o
⋅[1-(t-a)/(b-1)]⋅[H(t-a)-H(t-b)].
f(t) = U
o
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