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

gerryliyana Group Title

How to find Solution to differential equation (x - 4) y^{4} dx - x^{3} (y^{2} - 3 ) dy = 0

  • 2 years ago
  • 2 years ago

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

    How to find Solution to not exact differential equation \[(x - 4) y^{4} dx - x^{3} (y^{2} - 3 ) dy = 0\]

    • 2 years ago
  2. henpen Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Isn't \[\int\limits \frac{x-4}{x^3}dx=\int\limits \frac{y^2-3}{y^4}dy\] enough?

    • 2 years ago
  3. henpen Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    It's probably not, I'm still pants at DE

    • 2 years ago
  4. henpen Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Anyway: don't ask me HOW to integrate that (use Wolfram integrator if you just want the answer), it's probably some counter-intuitive trig substitution.

    • 2 years ago
  5. gerryliyana Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    i got \[- \frac{ 1 }{ x } + \frac{ 2 }{ x^{2} }-\frac{ 1 }{ y } + \frac{ 1 }{ y^{3} } = C\] am i right?

    • 2 years ago
  6. henpen Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    http://integrals.wolfram.com/index.jsp?expr=%28x-4%29%2Fx%5E3&random=false http://integrals.wolfram.com/index.jsp?expr=%28x%5E2-3%29%2Fx%5E4&random=false So your signs are wrong for either the x or y terms but it's fine other than that.

    • 2 years ago
  7. niksva Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @gerryliyana in this type of differntial eqution, we use separation of variable technique as we can see from this differential equation, variables can be separated easily

    • 2 years ago
  8. niksva Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @ gerryliyana i m getting -1/x + 2/x^2 + 1/ y^2 - 1 /y^3 = C where C is constant

    • 2 years ago
  9. niksva Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @gerryliyana right????

    • 2 years ago
  10. gerryliyana Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    ok @niksva but i got -1/x + 2/x^2 + 1/ y - 1 /y^3 = C where C is constant

    • 2 years ago
  11. niksva Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    omg my mistake it is 1/y

    • 2 years ago
  12. gerryliyana Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    no problem :)

    • 2 years 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.