LAP

Type:

Function

Description:

Performs a Laplace transform on an expression with respect to the current default variable.

Access:

Calculus, !ÖDIFFERENTIAL EQNS

Input:

An expression.

Output:

The Laplace transform of the expression.

Flags:

Exact mode must be set (flag –105 clear).

 

Numeric mode must not be set (flag –3 clear).

 

Radians mode must be set (flag –17 set).

Example:

Find the Laplace transform of ex.

Command:

LAP(EXP(X))

Result:

1/(X-1)

See also:

ILAP, LAPL

LAPL

Type:

Command

Description:

Returns the Laplacian of a function with respect to a list of variables.

Access:

!ÖDERIV & INTEG L

Input:

Level 2/Argument 1:An expression.

 

Level 1/Argument 2: A vector of variables.

Output:

The Laplacian of the expression with respect to the variables.

Flags:

Exact mode must be set (flag –105 clear).

 

Numeric mode must not be set (flag –3 clear).

 

Radians mode must be set (flag –17 set).

Example: Find, and simplify, the Laplacian of the following expression:

 

ex cos(zy)

 

 

 

 

Command:

LAPL(EXP(X)*COS(Z*Y),[X,Y,Z])

 

 

 

 

EXPAND(ANS(1))

 

 

 

 

Result:

-((Y^2+Z^2-1)*EXP(X)*COS(Z*Y))

 

 

 

See also:

LAP, ILAP

 

 

 

 

LAST

Command

 

 

 

 

Type:

 

 

 

 

Description:

Returns copies of the arguments of the most recently executed command.

 

LAST is provided for compatibility with the HP 28S. LAST is the same as LASTARG.

Access:

None. Must be typed in.

 

 

 

 

Flags:

Last Arguments (–55)

 

 

 

 

Input/Output:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Level 1

Level n

7

Level 1

 

 

 

 

 

 

 

 

 

 

→

objn

…

obj1

 

 

 

 

 

 

 

 

See also:

ANS, LASTARG

 

 

 

 

 

 

 

 

 

 

 

Full Command and Function Reference 3-127