
Differential Equations Ordinary and Partial Differential Equations Math Forum 
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October 30th, 2012, 06:11 PM  #11 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: My First Differential Equation
I truly feel that [color=#008000]skipjack[/color] meant absolutely no disrespect. Now, you may feel his use the the phrase "elementary algebra" implies you do not understand the basics, or are on a junior high school level with algebra. In this context, what I believe was being referred to is all of that which is considered algebra before one begins to study such things as abstract algebra, rings, groups, homeomorphisms, Galois theory, etc. All of the math I have ever studied falls into the elementary category. It's not meant as a derogatory term, but simply a descriptive classification. We are all rooting for you and wish to see you succeed! 
October 30th, 2012, 07:56 PM  #12 
Senior Member Joined: Aug 2012 From: South Carolina Posts: 866 Thanks: 0  Re: My First Differential Equation
I hope so. I would love to join the force one day Luke! 
October 30th, 2012, 08:01 PM  #13 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: My First Differential Equation
My Calc prof. was a huge Star Wars fan! 
October 30th, 2012, 08:59 PM  #14 
Senior Member Joined: Aug 2012 From: South Carolina Posts: 866 Thanks: 0  Re: My First Differential Equation
big diff tween wars and trek im wars myself my guess is most of the engineers are trekkies 
October 30th, 2012, 09:50 PM  #15 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: My First Differential Equation
Wars is a type III civilization while Trek is a type II. I prefer Trek.

October 30th, 2012, 09:52 PM  #16 
Senior Member Joined: Aug 2012 From: South Carolina Posts: 866 Thanks: 0  Re: My First Differential Equation
Yes, I thought you did. 
November 3rd, 2012, 01:14 AM  #17 
Global Moderator Joined: Dec 2006 Posts: 20,926 Thanks: 2205 
Just to illustrate how much algebra can be involved, suppose you needed to solve dy/dx = 8/(x  1)³  9/(x + 1)² + 4. That's easy: y = 4/(x  1)² + 9/(x + 1) + 4x + C, where C is a constant. That answer is obtained using the same integration rules as used for the problem posted originally. However, had the same equation been given with the fractions combined: dy/dx = (4x^5  4x^4  17x³ + 43x²  7x + 13)/(x^5  x^4  2x³ + 2x² + x  1), there's some awkward algebra to be done initially to convert its righthand side into the form of simple fractions that are easy to integrate before you can start to do the integration. It wouldn't be that tough in an exam, but that doesn't mean that you shouldn't be aware of the method needed. It's quite common for examination candidates to find they can't get the initial algebra done correctly (and reasonably quickly) even when it's much easier than that. 
November 3rd, 2012, 05:29 PM  #18 
Senior Member Joined: Aug 2012 From: South Carolina Posts: 866 Thanks: 0  Re: My First Differential Equation
Yes ..our Instructor said that most of the 1st Sem Calc students make mistakes on the Albebra I am trying to find time to use some Algebra books and Trig books here at home to self study and work back through the books ps..hope u r doing well Skip 
November 3rd, 2012, 05:48 PM  #19  
Math Team Joined: Jul 2011 From: North America, 42nd parallel Posts: 3,372 Thanks: 233  Re: My First Differential Equation Quote:
Professor kaku says we are a type zero cilivisation, How to do that with roman numerals? ?  

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