2 graphing a first order differential equation – Casio CLASSPAD 330 3.04 User Manual

Page 808

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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.

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.

Example: To input y’ = y

2

x and draw its slope field

S ClassPad Operation

(1) On the application menu, tap

.

• This starts up the Differential Equation Graph application and activates the differential
equation editor ([DiffEq] tab).

(2) Tap [Type] - [1st (Slope Field)] or the  toolbar button.

(3)

Press

the

. key to display the soft keyboard.

(4)

Input

y’ = y

2

x.

8YA 7U

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