14-7-7

Differential Equation Graph Window Operations

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-order

Matrix of initial conditions in the following form:

differential equation

[[x1, y(x1)][x2, y(x2)], .... [xn, y(xn)]]

 

• Slope field must already have been graphed. If not,

 

only points will be plotted and initial conditions are

 

registered in the initial condition editor ([IC] tab).

Solution curve(s) of an Nth-order

1) Nth-order differential equation such as y’’+ y’+ y =

differential equation

sin(x), followed by

 

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)

 

 

STo graph the slope field and solution curves by dropping a 1st-order differential equation and matrix into the Differential Equation Graph window

Example: 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

(1)On the application menu, tap .

•This starts up the eActivity application.

(2)On the eActivity application window, input the following expression and matrix. y’ = exp(x) + x2

[0,1]

(3)From the eActivity application menu, tap [Insert], [Strip], and then [DiffEqGraph].

•This inserts a Differential Equation Graph data strip,

and displays the Differential Equation Graph window in the lower half of the screen.

20060301