A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
find the general solution of the following differential equation: dy/dx + y/x = y^3
anonymous
 5 years ago
find the general solution of the following differential equation: dy/dx + y/x = y^3

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0e is going to be raised by this

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0can you please solve it step by step because im really bad at math

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0in the end you are just going to end up with x, so multiply both sides of the equation by this

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0e^\[\int\limits_{}\] 1/x

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0x(dy/dx)+y is just (xy)(dy/dx)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0from here you can separate and put your y's with dy and x's with dx

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0this will give you (dy/y^2)=dx, just integrate now

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0god bless you.. but i really suck at math and i have two exams tomorrow so i cant study for them both

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i truly appreciate your help, but if any one of you guys could do the whole thing, you would save my life

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0This is a bernoulli's equation. You have to make the substitution v=y^(2). v' will then equal=2y^(3)dy/dx. Sub in dy/dx from the original equation. Things will cancel only leaving you with v and x. Solve this new equation as a linear 1st order and then sub back in your v's with y's.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the final answer should be y=1/(x+c)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0or play with the constants and you should get y=1/(x+c)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I don't think that's the solution mathtio, I'm not quite sure what you're doing

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0can you please solve the problem step by step because im so tired and i still have so much to study I HONESTLY APPRECIATE YOUR HELP SO MUCH GUYS :) thank you

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0mathtio is tryign to solve this as a linear first order, but you can't because the right side is in terms of y and not x

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you are right. I forgot about the exponent in the y.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0attention to detail.....spaceknight should be able to help you better than i can.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sorry for the confusion.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0its ok thank you for trying.. its much appreciated

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0this thing is not linear

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0instead of waiting for every step you can at least try doing it, the problem is pretty straight forward once you get started on it

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes but my problem is that i dont get it at all.. I have always had problem with math.. i wish i could understand math half as well as you can.. if i knew how to solve it i wouldnt be asking for help :S

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0@spaceknight, am afraid you cannot get rid of y even if you sub with v.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yes you can. The y's can all be substituted nicely with v's. And, what part of my solution don't you understand? You can't just look at a problem and say you don't get it. If you don't even understand the very basics on how to start, even if I posted step by step solutions you wouldn't get it

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i just need a solution, thats all.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0If you want the solution, you can use wolframalpha y^2=1/(Cx^22x)
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.