Casio fx-CP400 User Manual page 63

Syntax:
laplace( ( ), , )
( ): expression ;
: variable with respect to which the expression is
transformed ;
: parameter of the transform
ClassPad supports transform of the following functions.
sin( ), cos( ), sinh( ), cosh( ),
ClassPad does not support transform of the following functions.
tan( ), sin – 1 ( ), cos
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, , , )
diff eq: differential equation to solve ; : independent variable in the diff eq ;
: dependent variable in the diff eq ; : parameter of the transform
Example: To solve a differential equation ' + 2 =
Laplace transform
Lp means ( ) = [ ( )] in the result of transform for a differential equation.
u fourier [Action][Advanced][fourier], invFourier [Action][Advanced][invFourier]
Function: "fourier" is the command for the Fourier Transform, and "invFourier" is the command for the inverse
Fourier Transform.
Syntax: fourier( ( ), , , )
: variable with respect to which the expression is transformed with ; : parameter of the transform ;
: 0 to 4, indicating Fourier parameter to use (optional)
ClassPad supports transform of the following functions.
sin( ), cos( ), log( ), ln( ), abs( ), signum( ), heaviside( ), delta( ), delta( , ),
ClassPad does not support transform of the following functions.
tan( ), sin – 1 ( ), cos – 1 ( ), tan
The Fourier Transform pairs are defined using two arbitrary constants , .
ω
( ) =
The values of and
fourth parameter of fourier and invFourier) as shown below.
, ' ,
, heaviside( ), delta( ), delta( , )
– 1 ( ), tan – 1 ( ), tanh( ), sinh
invFourier( ( ), , , )
– 1 ( ), sinh( ), cosh( ), tanh( ), sinh
⏐ ⏐
∞
∫
( )
π
1–
(2 )
–∞
depend on the scientific discipline, which can be specified by the value of
invLaplace( ( ), , )
( ): expression ;
: variable with respect to which the expression is
transformed ;
: parameter of the transform
– 1 ( ), cosh – 1 ( ), tanh
− where (0) = 3 using the
– 1 ( ), cosh
⏐ ⏐
ω
( ) =
(2
– 1 ( ), log( ), ln( ), 1/ , abs( ), gamma( )
( ), gamma( ), ' ,
– 1 ( ), tanh – 1
∞
∫
ω ω
ω
–
( )
π
1+
) – ∞
Chapter 2: Main Application
(optional
63