HP 48gII hp 48gII_user's manual_English_E_HDPMSG48E67_V2.pdf - Page 408
RESET, ERASE, LABEL, Change
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of differential equations of the form Y'(T) = F(T,Y). For our case, we let Y x and T t, therefore, F(T,Y) f(t,x) = exp(-t2). Before plotting the solution, x(t), for t = 0 to 5, delete the variables EQ and PPAR. • Press „ô, simultaneously if in RPN mode, to access to the PLOT SETUP window. • Change TYPE to Diff Eq. • Press ˜ and type tQ2@@@OK@@@. • The cursor is now in the H-Var field. It should show H-Var:0 and also V- Var:1. This is the code used by the calculator to identify the variables to be plotted. H-Var:0 means the independent variable (to be selected later) will be plotted in the horizontal axis. Also, V-Var:1 means the dependent variable (default name 'Y') will be plotted in the vertical axis. • Press ˜ . The cursor is now in the Indep field. Press ,³~ „t@@@OK@@@ to change the independent variable to t. • Press L@@@OK@@@ to return to normal calculator display. • Press „ò, simultaneously if in RPN mode, to access the PLOT window (in this case it will be called PLOT WINDOW - DIFF EQ). • Change the H-VIEW and V-VIEW parameters to read: H-VIEW: -1 5, V-VIEW: -1 1.5 • Change the Init value to 0, and the Final value to 5 by using: 0@@@OK@@@ 5@@@OK@@@. • The values Step and Tol represent the step in the independent variable and the tolerance for convergence to be used by the numerical solution. Let's leave those values with their default settings (if the word default is not shown in the Step: field, use L @RESET to reset that value to its default value. Press L to return to the main menu.) Press ˜ . • The Init-Soln value represents the initial value of the solution to start the numerical result. For the present case, we have for initial conditions x(0) = 0, thus, we need to change this value to 0.0, by using 0@@@OK@@@. • Press @ERASE @DRAW to plot the solution to the differential equation. • Press @EDIT L @LABEL @MENU to see the graph with labels. Page 12-27
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