A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
How do I solve the differential equation x^2+(x^3+8)y'=0
anonymous
 5 years ago
How do I solve the differential equation x^2+(x^3+8)y'=0

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Can I divide each term by 1/dy to separate?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0This is in the form m+ny'=0

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0do the partial with respect to y for the m and then do the partial with respect to x in the n portion

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Start by isolating y' .. then integrate both sides

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if they are equal then it is exact

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0But to isolate y' I would need to divide each term by y' correct?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0wait...is this cal 1 or differential equations and linear algebra

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Calc II differential equations

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0http://1337.is/~gaulzi/tex2png/view.php?png=201103312034348813.png would look like this isolated

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Well you can try implicit differentiation.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0take the derivative of the first term with respect to x

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0kristin wouldn't it be x^2?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sorry yes, thats correct, minor typo :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ok no problem. Thanks

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I can toss up for you the answer if you want :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0y' is dy/dx correct? If i were to rewrite it

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ok so if I were to solve y'+y=10 would I just replace y' with dy/dx and then move it all around?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I'm trying to figure out the steps

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it can be done by the separable variables method

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0after some modification you can get dy=x^2/(x^3+8) dx just integrate both sides

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0http://1337.is/~gaulzi/tex2png/view.php?png=201103312042017465.png these are the two answers you can get.. depends if you like to use ln or log

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I know the answer I'm trying to figure out the steps, could you show me the steps kristin? Plz.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0did you integrate like she said?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I know I need to integrate each piece, I just need to know how to get each piece by itself

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you should get: integral( 1/3(1/u) dx

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0just take u=x^3+8 > du=3x^2dx substitute in the integral you will get \[y=1/3\int\limits_{}^{}(1/u)du=1/3\ln \left u \right\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0now just substitute for u=x^3+8 \[y=1/3\ln \left x^3+8 \right+c\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Oh right I got that. Thanks
Ask your own question
Sign UpFind more explanations on OpenStudy
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.