Casio CLASSPAD330PLUS Manual De Usuario
20060301
14-2-1
Graphing a First Order Differential Equation
14-2 Graphing a First Order Differential Equation
This section explains how to input a first order differential equation and draw a slope field,
and how to graph the solution curve(s) of a first order differential equation based on given
initial conditions.
and how to graph the solution curve(s) of a first order differential equation based on given
initial conditions.
Inputting a First Order Differential Equation and Drawing a Slope Field
A slope field is the family of solutions of a single, first order differential equation of the form
y’= f (x, y). It is a grid of solution lines where each line has the slope y’ for a given grid value of
x and y. It is often referred to as a “slope field” or “direction field” because only the direction
of the field at any given point in known, not the magnitude.
y’= f (x, y). It is a grid of solution lines where each line has the slope y’ for a given grid value of
x and y. It is often referred to as a “slope field” or “direction field” because only the direction
of the field at any given point in known, not the magnitude.
Example: To input y’ = y
2
− x and draw its slope field
u ClassPad Operation
(1) On the application menu, tap
.
• This starts up the Differential Equation Graph application and activates the differential
equation editor ([DiffEq] tab).
equation editor ([DiffEq] tab).
(2) Tap [Type] - [1st (Slope Field)] or the
A toolbar button.
(3)
Press
the
k key to display the soft keyboard.
(4)
Input
y’ = y
2
− x.
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