matlab primer 6th edition phần 7 docx

The higher order symbolic differential operators ', ', … can be used to solve higher order equations.. Over 50 special functions of classical applied mathematics are available in the Sym

The result D is a solution in the variable [, and E is a solution in \ To solve an equation whose right-hand side

is not , use a quoted string Some examples are:

YSD;

YSD;

This solves for the variable D:

and this solves the same equation for E:

The function VROYH can also compute the solutions of systems of general algebraic equations To solve, for example, the nonlinear system below, it is convenient to first express the equations as strings

The solutions are then computed by:

>;<=@ VROYH666

If you alter 6 to:

then the solution computed by:

>;<=@ VROYH666

will be given in terms of square roots

The VROYH function can take quoted strings or symbolic expressions as input arguments, but you cannot mix the two types of inputs

14.10 Solving differential equations

The function GVROYH attempts to solve ordinary

differential equations The symbolic differential operator

is ', so that:

differential equation y’ = x2 y The solution to an initial

value problem can be computed by adding a second symbolic expression giving the initial condition

Notice that in both examples above, the final input argument, , is the independent variable of the differential equation If no independent variable is supplied to GVROYH, then it is assumed to be W The higher order symbolic differential operators ', ', … can be used to solve higher order equations Explore the following:

< VLPSOH<

Systems of differential equations can also be solved For example,

The solutions are then computed with:

>[\]@ GVROYH(((

SUHWW\[

SUHWW\\

SUHWW\]

You can explore further details with KHOSGVROYH

14.11 Further Maple access

The following features are not available in the Student Version of MATLAB

Over 50 special functions of classical applied

mathematics are available in the Symbolic Math Toolbox Enter KHOSPIXQOLVW to see a list of them These functions can be accessed with the function PIXQ, for which you are referred to KHOSPIXQ for further details The PDSOH function allows you to use expressions and programming constructs in Maple’s native language, which gives you full access to Maple’s functionality See KHOSPDSOH, or PKHOSWRSLF, which displays Maple’s help text for the specified topic The Extended Symbolic Math Toolbox provides access to a number of Maple’s specialized libraries of procedures It also provides for use of Maple programming features

15 Help topics

There are many MATLAB functions and features that cannot be included in this Primer Listed in the following tables are some of the MATLAB functions and operators, grouped by subject area.6 You can browse through these lists and use the online help facility, or consult the online

documents MATLAB Functions: Volumes 1 through 3 for

more detailed information on the functions, operators, and special characters

Typing KHOS at the MATLAB command prompt will provide a listing of the major MATLAB directories, similar to the following table Typing KHOSWRSLF, where WRSLF is an entry in the left column of the table, will display a description of the topic For example, KHOSJHQHUDO will display on your Command window a plain text version of Section 15.1 Typing KHOSRSV will display Section 15.2, starting on page 99, and so on Each topic is discussed in a single subsection The page number for each subsection is also listed in the following table

6

Source: MATLAB 6.1 KHOS command, Release R12.1

Help topics page

15.1 General

KHOSJHQHUDO

General information

KHOSEURZVHU Bring up the help browser

GRF Complete online help, displayed in the help browser (KHOSGHVNin Version

6.0)

window

browser

page

version information

Managing the workspace

memory

Managing commands and functions

(P-file)

Managing the search path

scope

Controlling the Command window

window

Operating system commands

(continued on next page)

Operating system commands (continued)

result

MATLAB

Debugging M-files

Profiling M-files

Locate dependent functions of an M-file

M-file

15.2 Operators and special characters

KHOSRSV

Arithmetic operators (help arith, help slash)

Relational operators (help relop)

Logical operators

Special characters

FWUDQVSRVH Complex conjugate transpose

^`

^` VXEVLQGH[ Subscript index

Bitwise operators

Set operators

15.3 Programming language constructs

KHOSODQJ

Control flow

VZLWFK, WU\ and LI statements

times

of times

loop (continued on next page)

Control flow (continued)

FRQWLQXH Pass control to the next iteration of IRU

or ZKLOH loop

expression

Evaluation and execution

expression

capture

overloaded method

Scripts, functions, and variables

SHUVLVWHQW Define persistent variable

defined

(continued on next page)

Scripts, functions, and variables (cont.)

Argument handling

YDUDUJRXW Variable length output argument list

Message display

Interactive input

XLFRQWURO Create user interface control

15.4 Elementary matrices and matrix manipulation

KHOSHOPDW

Elementary matrices

response

matrix

Basic array information

Matrix manipulation

matrix

Special variables and constants

Specialized matrices

problem

15.5 Elementary math functions

KHOSHOIXQ

Trigonometric

(continued on next page)

Trigonometric (continued)

Exponential

floating-point number

number

Complex

imaginary parts

pairs

There are many MATLAB functions and features that cannot be included in this Primer Listed in the following tables are some of the MATLAB functions and operators, grouped...

documents MATLAB Functions: Volumes through for

more detailed information on the functions, operators, and special characters

Typing KHOS at the MATLAB command prompt... workspace

memory