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Where – Casio CLASSPAD 330 3.04 User Manual

Page 169

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20060301

ClassPad supports transform of the following functions.
sin(

x

), cos(

x

), sinh(

x

), cosh(

x

),

x

n

,

x

, e

x

, heaviside(

x

), delta(

x

), delta(

x

,

n

)

ClassPad does not support transform of the following functions.
tan(

x

), sin

– 1

(

x

), cos

– 1

(

x

), tan

– 1

(

x

), tanh(

x

), sinh

– 1

(

x

), cosh

– 1

(

x

), tanh

– 1

(

x

), log(

x

), ln(

x

), 1/

x

,

abs(

x

), gamma(

x

)

Laplace Transform of a Differential Equation

The laplace command can be used to solve ordinary differential equations. ClassPad does
not support System of Differential Equations for laplace.

Syntax: laplace(diff eq,

x

,

y

,

t

)

diff eq -- differential equation to solve

x

-- independent variable in the diff eq

y

-- dependent variable in the diff eq

t

-- parameter of the transform

Lp means F(s)=L[f(

t

)] in the result of transform for a differential equation.

An example using Laplace to solve a differential equation:

S fourier, invFourier

Function: “fourier” is the command for the Fourier Transform, and “invFourier” is the
command for the inverse Fourier Transform.

Syntax: fourier(f(x),x,w,n)

invFourier(f(w),w,x,n)

f(x) -- expression

x -- variable with respect to which the expression is transformed with

w -- parameter of the transform

n -- 0 to 4, indicating Fourier parameter to use (optional)

ClassPad supports transform of the following functions.
sin(

t

), cos(

t

), log(

t

), ln(

t

), abs(

t

), signum(

t

), heaviside(

t

), delta(

t

), delta(

t

,

n

), e

ti

ClassPad does not support transform of the following functions.
tan(

t

), sin

– 1

(

t

), cos

– 1

(

t

), tan

– 1

(

t

), sinh(

t

), cosh(

t

), tanh(

t

), sinh

– 1

(

t

), cosh

– 1

(

t

), tanh

– 1

(

t

),

gamma(

t

),

t

, e

t

2-8-9

Using the Action Menu

where

x

(0) = 3

x’

+ 2

x

=

e

t