March 20th, 2012, 11:56 PM  #1 
Member Joined: Feb 2012 Posts: 44 Thanks: 0  Differentiation trouble
I am having trouble with these: y = 1/(3 + x^2)<denominator is under square root. dy/dx: x/(y(x)^3) y(x)^2 + x^4y'(x)^2 = 1 <the second y is prime y''(x) + 2y'(x) + 5y(x) = 0 < The first y is 2 prime and the second y is prime I have a final on monday and am trying to understand these the best I can P.S. Does anybody know of a site that can teach me how to express these equations on the computer to make them look authentic to the original? 
March 21st, 2012, 05:32 AM  #2 
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: Differentiation trouble
1.) To differentiate, use the power and chain rules: 2.) Separate variables and integrate: The solution is given implicitly by: 3.) Separate variables and integrate: 4.) This is a second order homogeneous equation whose associated auxiliary equation has the roots: Hence, the general solution is given by: Do a search here and on the web for LaTeX to see how to write math expressions. 

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