# Graphical Solution For A Second-order Ode - HP 49g+ User Manual

Graphing calculator.

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
0.00
0.000
0.25
0.968
0.50
0.748 -2.616
0.75
-0.015 -2.859
1.00
-0.469 -0.607

## Graphical solution for a second-order ODE

Start by activating the differential equation numerical solver, ‚
˜ @@@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
Highlight the field in front of TYPE, using the —˜keys.
environment.
Then, press @CHOOS, and highlight Diff Eq, using the —˜keys. Press
@@OK@@. Modify the rest of the PLOT SETUP screen to look like this:
x
x'
t
6.000
1.25 -0.354 1.281
1.368
1.50 0.141 1.362
1.75 0.227 0.268
2.00 0.167 -0.627
x
x'
Ï
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