My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum

LinkBack Thread Tools Display Modes
March 20th, 2012, 11:56 PM   #1
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?
cacophonyjm is offline  
March 21st, 2012, 05:32 AM   #2
Senior Member
MarkFL's Avatar
Joined: Jul 2010
From: St. Augustine, FL., U.S.A.'s oldest city

Posts: 12,211
Thanks: 521

Math Focus: Calculus/ODEs
Re: Differentiation trouble


To differentiate, use the power and chain rules:


Separate variables and integrate:

The solution is given implicitly by:


Separate variables and integrate:


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.
MarkFL is offline  

  My Math Forum > College Math Forum > Calculus

differentiation, trouble

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
trouble in Differentiation Zynoakib Calculus 1 November 18th, 2013 01:23 PM
Differentiation trouble (fixed) cacophonyjm Calculus 1 March 21st, 2012 09:25 AM
Having trouble converting units/trouble understanding Adrian Algebra 4 February 5th, 2012 01:00 PM
Exponent differentiation trouble Fridtjof Calculus 6 October 24th, 2011 05:37 PM
having trouble jordanshaw Calculus 8 October 13th, 2010 04:29 PM

Copyright © 2019 My Math Forum. All rights reserved.