Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

roanna

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!

  • one year ago
  • one year ago

  • This Question is Closed
  1. Plutog55
    Best Response
    You've already chosen the best response.
    Medals 0

    Dang that's a long one...

    • one year ago
  2. roanna
    Best Response
    You've already chosen the best response.
    Medals 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.

    • one year ago
  3. Algebraic!
    Best Response
    You've already chosen the best response.
    Medals 0

    I think you either wrote it incorrectly or you're not being asked to solve it...?

    • one year ago
  4. roanna
    Best Response
    You've already chosen the best response.
    Medals 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.

    • one year ago
  5. Algebraic!
    Best Response
    You've already chosen the best response.
    Medals 0

    cool. no analytic solutions as far as I can tell, so ...

    • one year ago
  6. roanna
    Best Response
    You've already chosen the best response.
    Medals 0

    @Algebraic! Why do you think that?

    • one year ago
  7. sirm3d
    Best Response
    You've already chosen the best response.
    Medals 0

    is this not a quadratic equation in \[y \prime \]? that you should solve the quadratic equation first, then the resulting differential equations?

    • one year ago
  8. ekim2012
    Best Response
    You've already chosen the best response.
    Medals 0

    that y next to the 9 on the first term looks weird

    • one year ago
  9. roanna
    Best Response
    You've already chosen the best response.
    Medals 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.

    • one year ago
  10. roanna
    Best Response
    You've already chosen the best response.
    Medals 0

    Should I put here an example of solving similar equation?

    • one year ago
  11. across
    Best Response
    You've already chosen the best response.
    Medals 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.

    • one year ago
  12. mahmit2012
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1351986536371:dw|

    • one year ago
  13. mahmit2012
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1351986790555:dw|

    • one year ago
  14. mahmit2012
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1351987002927:dw|

    • one year ago
  15. mahmit2012
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1351987163211:dw|

    • one year ago
  16. mahmit2012
    Best Response
    You've already chosen the best response.
    Medals 1

    |dw:1351987461053:dw|

    • one year ago
  17. mahmit2012
    Best Response
    You've already chosen the best response.
    Medals 1

    @Algebraic! take a look.

    • one year ago
  18. roanna
    Best Response
    You've already chosen the best response.
    Medals 0

    @mahmit2012!!! That is amazing!!! I'm going to figure it out! Thanx a lot!!!

    • one year ago
    • Attachments:

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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.