A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

aivantettet26

  • one year ago

Show that the family of circles (x+1)^2+(y-3)^2 = c^2 can be interpreted as two families of solution of the differential equations dy/dx = -(x-1)/y-3

  • This Question is Closed
  1. aivantettet26
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\frac{ dy }{ dx } = \frac{ -(x+1) }{ y-3 }\]

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

    The proof is as follows. I hope u know Chain Rule and that differentiation is a linear function. Sorry for the picture being a bit hazy.

    1 Attachment
  3. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you can also solve the DE, it is clearly separable. in fact, that might be much easier as you can complete the square

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

    yeah... that's an option too... but arranging it into the standard form for a circle would be tedious @IrishBoy123

  5. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    your choice :p

  6. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.