Graphing A First Order Differential Equation; Inputting A First Order Differential Equation And Drawing A Slope Field - Casio ClassPad 330 User Manual

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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.

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

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).

(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

Graphing a First Order Differential Equation

− x and draw its slope field