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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: 520 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: 520 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: 520 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: 20,474 Thanks: 2039 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 right-hand 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
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Re: My First Differential Equation

Quote:
 Originally Posted by MarkFL Wars is a type III civilization while Trek is a type II. I prefer Trek.
I also prefer trek. There are 2 beings in this universe nobody can mess with, kirk is one, bugs bunny is the other one.

Professor kaku says we are a type zero cilivisation, How to do that with roman numerals? $\text{I - I} \$ ?

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