Casio FXCP400 y) pair, Slope field, Graph window:, Equation Editor, f(x) type function graph, Solution curve(s) of a 1st, To draw this type of graph:

uTo start a graph/curve trace

1.Draw a solution curve (see pages 119 through 120) or function graph (see page 123).

2.Tap = or [Analysis] - [Trace].

5-4 Graphing an Expression or Value by Dropping It into the Differential Equation Graph Window

You can use the procedures in this section to graph an expression or value by dragging it from the eActivity application window or the Main application window, and dropping it into the Differential Equation Graph window.

To draw this type of graph:	Drop this type of expression or value into the Differential Equation
	Graph window:
Slope field	1st-order differential equation in the form of y’ = f (x, y)
Solution curve(s) of a 1st-	Matrix of initial conditions in the following form:
order differential equation	[[x1, y(x1)][x2, y(x2)] .... [xn, y(xn)]]
	• Note that the Slope field should already be graphed on the Differential
	Equation Graph window before the matrix is dropped in. If it isn’t, dropping
	in the matrix will simply plot points at the coordinates indicated by each (x,
	y) pair.
	• Regardless of whether or not the Slope field is already graphed, values
	in the dropped in matrix will be registered to the [IC] tab of the Differential
	Equation Editor.
Solution curve(s) of an nth-	1) nth-order differential equation such as y” + y’ + y = sin(x), followed by
order differential equation	2) Matrix of initial conditions in the following form:
	[[x1, y1(x1)][x2, y1(x2)] .... [xn, y1(xn)]] or
	[[x1, y1(x1), y2(x1)][x2, y1(x2), y2(x2)] .... [xn, y1(xn), y2(xn)]]
f(x) type function graph	Function in the form y = f(x)

0508 To drag the 1st-order differential equation y’ = exp(x) + x2 and then the initial condition matrix [0, 1] from the eActivity application window to the Differential Equation Graph window, and graph the applicable slope field and solution curve

0509 To drag the nth-order differential equation y” + y’ = exp(x) and then the initial condition matrix [[0, 1, 0] [0, 2, 0]] from the eActivity application window to the Differential Equation Graph window, and graph the applicable solution curves

Tip: An nth-order differential equation of the form f (y’, y”…, x) dropped into the Differential Equation Graph window will be treated as f (y’, y”…, x) = 0.

Chapter 5: Differential Equation Graph Application 124