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Differential Equation Graph Window Operations
To draw thi type of graph:
Slope field
Solution curve(s) of a 1st-order
differential equation
Solution curve(s) of an Nth-order
differential equation
f ( x ) type function graph
To graph the lope field and olution curve by dropping a 1 t-order
differential equation and matrix into the Differential Equation Graph
window
Example: To drag the 1st-order differential equation y ' = exp( x ) + x
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 ) + x
2
[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.
14-7-7
Drop thi type of expre
Differential Equation Graph window:
1st-order differential equation in the form of y' = f ( x , y )
Matrix of initial conditions in the following form:
[[ x
, y ( x
)][ x
, y ( x
)], .... [ x
1
1
2
2
• 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).
1) Nth-order differential equation such as y'' + y' + y =
sin( x ), followed by
2) Matrix of initial conditions in the following form:
[[ x
, y 1( x
)],[ x
, y 1( x
)], .... [ x
1
1
2
2
y 2( x
)],[ x
, y 1( x
), y 2( x
1
2
2
Function in the form y = f ( x )
.
20060301
ion or value into the
, y ( x
)]]
n
n
, y 1( x
)]] or [[ x
, y 1( x
n
n
1
)], .... [ x
, y 1( x
), y 2( x
)]]
2
n
n
n
and then the initial
2
),
1
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