Graphical solution for a second-order ode – HP 48gII User Manual

Page 544

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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:

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

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:

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