My Math Forum  

Go Back   My Math Forum > College Math Forum > Differential Equations

Differential Equations Ordinary and Partial Differential Equations Math Forum


Thanks Tree2Thanks
  • 1 Post By Country Boy
  • 1 Post By v8archie
Reply
 
LinkBack Thread Tools Display Modes
November 27th, 2017, 07:52 AM   #1
Newbie
 
Joined: Apr 2014
From: Canada

Posts: 4
Thanks: 0

Singular solution

How to show that $\displaystyle t=0$ is a solution of $\displaystyle 2t^2e^{-x}\,dt+x\sqrt{t}\,dx=0$? I do not know how to calculate $\displaystyle dt$ when $\displaystyle t=0$. Thanks.

Last edited by eulid; November 27th, 2017 at 08:18 AM.
eulid is offline  
 
November 27th, 2017, 09:51 AM   #2
Math Team
 
Joined: Jan 2015
From: Alabama

Posts: 2,874
Thanks: 766

The way you have phrased this is a little confusing. A first order equation like this can be thought of as an equation describing x as a function of t or as an equation describing t as a function of x. The best I can do in interpreting your question is that you want to show that t, as a function of x, is the constant function t= 0 no matter what x is. In that case, since t is a constant, the derivative is 0: dt/dx= 0 so dt= 0 while dx can be anything. Set t= 0 and dt= 0 and show that the equation is satisfied for all x.
Thanks from eulid
Country Boy is offline  
November 27th, 2017, 11:17 AM   #3
Math Team
 
Joined: Dec 2013
From: Colombia

Posts: 7,090
Thanks: 2360

Math Focus: Mainly analysis and algebra
You don't even need $\mathrm dt$ or $\frac {\mathrm dt}{\mathrm dx}$ for this. $t=0$ is sufficient.
Thanks from eulid
v8archie is offline  
Reply

  My Math Forum > College Math Forum > Differential Equations

Tags
singular, solution



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Singular Solution levanduong123200 Differential Equations 0 August 31st, 2014 12:31 PM
Singular Value Decomposition SLUO Applied Math 1 September 8th, 2013 03:08 AM
Series solution near regular singular point triplekite Calculus 0 October 29th, 2012 03:12 PM
Series Solution About a Regular Singular Point mr_dude32 Calculus 1 December 10th, 2008 08:16 PM
Series Solution About a Regular Singular Point mr_dude32 Linear Algebra 1 December 10th, 2008 01:15 PM





Copyright © 2017 My Math Forum. All rights reserved.