User Manual

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) = 3x’ + 2x = e
–t