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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)

uTo 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 A.

•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.

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