HP 50G, User Manual, Page: 540 / 887

Page 16-63
(Changes initial value of t to 0.75, and final value of t to 1, solve again for w(1)
= [-0.469 -0.607])
Repeat for t = 1.25, 1.50, 1.75, 2.00. Press
@@OK@@
after viewing the last result in
@EDIT
. To return to normal calculator display, press
$
or
L @@OK@@
. The
different solutions will be shown in the stack, with the latest result in level 1.
The final results look as follows:
Graphical solution for a second-order ODE
Start by activating the differential equation numerical solver,
‚ Ï ˜
@@@OK@@@
. The SOLVE screen should look like this:
Notice that the initial condition for the solution (Soln: w Init:[0., …) includes the
vector [0, 6]. Press
L @@OK@@
.
Next, press
„ô
(simultaneously, if in RPN mode) to enter the PLOT
environment. Highlight the field in front of
TYPE
, using the
—˜
keys. Then,
press
@CHOOS
, and highlight
Diff Eq
, using the
—˜
keys. Press
@@OK@@
.
Modify the rest of the PLOT SETUP screen to look like this:
t x x' t x x'
0.00 0.000 6.000 1.25 -0.354 1.281
0.25 0.968 1.368 1.50 0.141 1.362
0.50 0.748 -2.616 1.75 0.227 0.268
0.75 -0.015 -2.859 2.00 0.167 -0.627
1.00 -0.469 -0.607