Algebrator by Softmath - the leading Mathematics Software Application on the Market today! Algebra Software Tutoring Program provides exceptional supplemental teaching and reduces homework time

Home
News
Why Algebrator?
Iron-clad Guarantee
Testimonials and Reviews
Compare to Others
Order
Who we are
FAQs
Algebra Resource Links
Privacy Policy
Free tutoring with purchase!

Click here for a demo of Algebrator by SoftMath--reduce your Algebra homework to no time at all!
 

Softmath
1150 N Loop 1604 W
Ste. 108-453
San Antonio, TX 78248
USA

Phone: (512) 788-5675
Fax:    
(512) 519-1805

 
BBB Reliability Program -- Algebrator by SoftMath: reduce your homework time today!

Read the review of Algebrator Software in the Family Review Center today!

Bookmark and Share
 
 

SOLVING SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS

fractions formula adding subtracting,  solving quadratic equations by completing the square simplify radical expressions calculator root  fractions formula adding subtracting multiplying  
 Thank you for visiting our site! You landed on this page because you entered a search term similar to this: solving second order nonlinear differential equations, here's the result:


Differential Equations
  with Mathematica

Differential Equations
  with Maple



Differential Equations with MATLAB, 2nd Edition

Table of Contents

Preface iii 1 Introduction 1
1.1 Guiding Philosophy 1
1.2 Student's Guide 3
1.3 Instructor's Guide 4
1.4 A Word About Software Versions 6
2 Getting Started with MATLAB 7
2.1 Platforms and Versions 7
2.2 Installation 8
2.3 Starting MATLAB 8
2.4 Typing in the Command Window 9
2.5 Online Help 9
2.6 MATLAB Windows 11
2.7 Ending a Session 12
3 Doing Mathematics with MATLAB 13 4 Using M-files and M-books 31
4.1 The MATLAB Desktop 31
4.2 M-files 34
4.3 Loops 38
4.4 Presenting Your Results 38
4.5 Debugging Your M-files 45
Problem Set A: Practice with MATLAB 47 5 Solutions of Differential Equations 51
5.1 Finding Symbolic Solutions 51
5.2 Existence and Uniqueness 54
5.3 Stability of Differential Equations 55
5.4 Different Types of Symbolic Solutions 59
6 A Qualitative Approach to Differential Equations 65
6.1 Direction Field for a First Order Linear Equation 65
6.2 Direction Field for a Non-Linear Equation 68
6.3 Autonomous Equations 69
Problem Set B: First Order Equations 75 7 Numerical Methods 87
7.1 Numerical Solutions Using MATLAB 88
7.2 Some Numerical Methods 91
7.3 Controlling the Error in ode45 98
7.4 Reliability of Numerical Methods 99
8 Features of MATLAB 103
8.1 Data Classes 103
8.2 Functions and Expressions 106
8.3 More about M-files 107
8.4 Matrices 109
8.5 Graphics 111
8.6 Features of MATLAB 's Numerical ODE Solvers 114
8.7 Troubleshooting 119
9 Using Simulink 121
9.1 Constructing and Running a Simulink Model 121
9.2 Output to the Workspace and How Simulink Works 127
Problem Set C: Numerical Solutions 131 10 Solving and Analyzing Second Order Linear Equations 139
10.1 Second Order Equations with MATLAB 141
10.2 Second Order Equations with Simulink 145
10.3 Comparison Methods 147
10.4 A Geometric Method 150
Problem Set D: Second Order Equations 157 11 Series Solutions 171
11.1 Series Solutions 172
11.2 Singular Points 174
11.3 Function M-files for Series Solutions 177
11.4 Series Solutions Using maple 180
12 Laplace Transforms 183
12.1 Differential Equations and Laplace Transforms 185
12.2 Discontinuous Functions 188
12.3 Differential Equations with Discontinuous Forcing 190
Problem Set E: Series Solutions and Laplace Transforms 193 13 Higher Order Equations and Systems of First Order Equations 207
13.1 Higher Order Linear Equations 208
13.2 Systems of First Order Equations 209
13.3 Phase Portraits 216
14 Qualitative Theory for Systems of Differential Equations 223 Problem Set F: Systems of Differential Equations 231 Glossary 247 Sample Solutions 259 Index 285

You Type in Your Algebra Problem. Algebrator does the Rest!


 


Algebrator
Download (and optional CD)

Only $39.99

Click to Buy Now:



OR


Goods and services provided by Sofmath (TX, USA).
Sold by 2CheckOut.com Inc. (Ohio, USA).

Attention: We are currently running a special promotional offer for softmath.com visitors -- if you order Algebrator by midnight of November 20th you will pay only $39.99 instead of our regular price of $74.99 -- this is 35.00 in savings ! In order to take advantage of this offer, you need to order by clicking on one of the buttons on the left, not through our regular order page.

If you order now you will also receive 30 minutes of live math tutoring from tutor.com!

You Will Learn Algebra Better - Guaranteed!

Just take a look how incredibly simple Algebrator is:

Step 1 : Enter your homework problem in an easy WYSIWYG (What you see is what you get) algebra editor:

Step 2 : Let Algebrator solve it:

Step 3 : Ask for an explanation for the steps you don't understand:

Algebrator can solve problems in all the following areas:

  • simplification of algebraic expressions (operations with polynomials (simplifying, degree, synthetic division...), exponential expressions, fractions and roots (radicals), absolute values)
  • factoring and expanding expressions
  • finding LCM and GCF
  • operations with complex numbers (simplifying, rationalizing complex denominators...)
  • solving linear, quadratic and many other equations and inequalities (including basic logarithmic and exponential equations)
  • solving a system of two and three linear equations (including Cramer's rule)
  • graphing curves (lines, parabolas, hyperbolas, circles, ellipses, equation and inequality solutions)
  • graphing general functions
  • operations with functions (composition, inverse, range, domain...)
  • simplifying logarithms
  • operations with matrices (adding, subtracting, multiplying, inverse...)
  • basic geometry and trigonometry (similarity, calculating trig functions, right triangle...)
  • arithmetic and other pre-algebra topics (ratios, proportions, measurements...)


Algebrator
Download (and optional CD)

Only $39.99

Click to Buy Now:



OR


Goods and services provided by Sofmath (TX, USA).
Sold by 2CheckOut.com Inc. (Ohio, USA).

 
Order $58.99
 

 

 
 
Demo | Features | Guarantee | Reviews | Comparison | Order | About Us

©Copyright 1998 - 2009 Softmath All rights reserved.