Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
roanna
Group Title
Please, solve this differential equation
9*y*(y')^2 + 4*(x^3)*y'  4*(x^2)*y = 0
PS I'm a foreigner, so I might you ask more questions during the problrm solving!
Thanx a lot!
 2 years ago
 2 years ago
roanna Group Title
Please, solve this differential equation 9*y*(y')^2 + 4*(x^3)*y'  4*(x^2)*y = 0 PS I'm a foreigner, so I might you ask more questions during the problrm solving! Thanx a lot!
 2 years ago
 2 years ago

This Question is Closed

Plutog55 Group TitleBest ResponseYou've already chosen the best response.0
Dang that's a long one...
 2 years ago

roanna Group TitleBest ResponseYou've already chosen the best response.0
I know. And I could not solve it. I suppose, that there must be a parameter. But which one? Should I put y' = p or y' = px ??? I've already done both but I hadn'd any result.
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.0
I think you either wrote it incorrectly or you're not being asked to solve it...?
 2 years ago

roanna Group TitleBest ResponseYou've already chosen the best response.0
@Algebraic! I DID wrote this equation correctly (I checked it 3 times). And I didn't understand, do you have doubts about my homework? You may trust me, I really have to solve this for my Math classes.
 2 years ago

Algebraic! Group TitleBest ResponseYou've already chosen the best response.0
cool. no analytic solutions as far as I can tell, so ...
 2 years ago

roanna Group TitleBest ResponseYou've already chosen the best response.0
@Algebraic! Why do you think that?
 2 years ago

sirm3d Group TitleBest ResponseYou've already chosen the best response.0
is this not a quadratic equation in \[y \prime \]? that you should solve the quadratic equation first, then the resulting differential equations?
 2 years ago

ekim2012 Group TitleBest ResponseYou've already chosen the best response.0
that y next to the 9 on the first term looks weird
 2 years ago

roanna Group TitleBest ResponseYou've already chosen the best response.0
This is special differential Equation. What I know is that (y') should replace with p(x) or p(x)*x and then dy = pdx or dy=pdx+xdp 1) accordingly. And I solved this equation with both replacements and as a result a had really huge equations. I thought, I had done something wrong that is why I asked you for help. But I have just understood that you had not even seen such equations.
 2 years ago

roanna Group TitleBest ResponseYou've already chosen the best response.0
Should I put here an example of solving similar equation?
 2 years ago

across Group TitleBest ResponseYou've already chosen the best response.0
Observe how\[y(x)=\frac13ix^2\]is a solution of this ODE:\[\begin{align} 9y(y')^2&=\frac43ix^4,\tag{1}\\ 4x^3y'&=\frac83ix^4,\tag{2}\\ 4x^2y&=\frac43ix^4,\tag{3} \end{align}\]\((1)+(2)(3)=0\). This is also true for its conjugate.
 2 years ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.1
dw:1351986536371:dw
 2 years ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.1
dw:1351986790555:dw
 2 years ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.1
dw:1351987002927:dw
 2 years ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.1
dw:1351987163211:dw
 2 years ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.1
dw:1351987461053:dw
 2 years ago

mahmit2012 Group TitleBest ResponseYou've already chosen the best response.1
@Algebraic! take a look.
 2 years ago

roanna Group TitleBest ResponseYou've already chosen the best response.0
@mahmit2012!!! That is amazing!!! I'm going to figure it out! Thanx a lot!!!
 2 years 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.