Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
RolyPoly
Group Title
Differential equation
Did I make any mistakes here?
\[\frac{dx}{dt}  x^3 = x\]\[\frac{dx}{dt} = x^3 + x\]\[\frac{dx}{x^3+x} = dt\]\[(\frac{1}{x} \frac{x}{x^2+1})dx = dt\]\[\ln x  tan^{1}x = t + c\]
 one year ago
 one year ago
RolyPoly Group Title
Differential equation Did I make any mistakes here? \[\frac{dx}{dt}  x^3 = x\]\[\frac{dx}{dt} = x^3 + x\]\[\frac{dx}{x^3+x} = dt\]\[(\frac{1}{x} \frac{x}{x^2+1})dx = dt\]\[\ln x  tan^{1}x = t + c\]
 one year ago
 one year ago

This Question is Closed

zepdrix Group TitleBest ResponseYou've already chosen the best response.1
\[\frac{ dx }{ x^3+1 }=dt\] Hmm why isn't it equal to this? :o Maybe I'm missing something.\[\frac{ dx }{ x^3+x }=dt\]
 one year ago

RolyPoly Group TitleBest ResponseYou've already chosen the best response.0
Sorry, it was a typo!
 one year ago

zepdrix Group TitleBest ResponseYou've already chosen the best response.1
Ah ok i thought so :) imma check the fraction decomp a sec
 one year ago

zepdrix Group TitleBest ResponseYou've already chosen the best response.1
\[\int\limits_{}^{}\frac{ 1 }{ x^2+1 }dx=\tan^{1}x\] \[\int\limits_{}^{}\frac{ x }{ x^2+1 }dx \neq \tan^{1}x\] Woops! That's just another natural log I think! :o
 one year ago

RolyPoly Group TitleBest ResponseYou've already chosen the best response.0
Oops! The problem is the partial fraction!!
 one year ago

zepdrix Group TitleBest ResponseYou've already chosen the best response.1
It is? Hmm I got the same thing you did...
 one year ago

RolyPoly Group TitleBest ResponseYou've already chosen the best response.0
Not here. But in my notebook :S
 one year ago

RolyPoly Group TitleBest ResponseYou've already chosen the best response.0
\[\int\limits_{}^{}\frac{ x }{ x^2+1 }dx = \frac{1}{2}\ln x^2+1 +C\]
 one year ago

zepdrix Group TitleBest ResponseYou've already chosen the best response.1
yay team c:
 one year ago

RolyPoly Group TitleBest ResponseYou've already chosen the best response.0
Thanks :)
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.