Casio classpad 330 3.04 Manual De Usuario

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14-3-1
Graphing a Second Order Differential Equation
14-3  Graphing a Second Order Differential 
Equation
This section explains how to input a second order differential equation and draw a slope 
field, and how to graph the solution curve(s) for a second order differential equation based 
on given initial conditions.
With this application, a second order differential equation is input in the form of a set of two 
first order differential equations. 
Drawing the Phase Plane of a Second Order Differential Equation
A phase plane is the family of solutions of either a second order differential equation or two 
first order differential equations of the form x dx/dt (x,y) and y dy/dt g(x,y). A single 
second order differential equation can also be graphed, but it must be written as two first 
order differential equations.
Example: To input {x’ = xy’ = −y} and draw its phase plane
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] - [2nd (Phase Plane)] or the  toolbar button. 
 
(3) Use the differential equation editor to input x’ = xy’ = −y.
 
 
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