Graphical Solution For A Second-Order Ode - HP 50g User Manual
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(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:
0.00
0.25
0.50
0.75
1.00
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
0.000
0.968
0.748
-0.015
-0.469
x'
t
6.000
1.25 -0.354 1.281
1.368
1.50 0.141 1.362
-2.616
1.75 0.227 0.268
-2.859
2.00 0.167 -0.627
-0.607
x
x'
Page 16-63
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