A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

I can't seem to figure out this question.. Find the value of k for which the constant function x(t)=k is a solution of the differential equation 2t^4 dx/dt+8x+8=0. Now I thought I would solve for x(t)=... in terms of t and then say K=... However, the question says "Variable 't' is not defined in this context" so I am kind of lost. FYI I got x(t)=e^(4t^(-3)/3)-1 by variable separable

  • This Question is Closed
  1. asnaseer
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    if \(x(t)=k\) is a solution to:\[\frac{dx}{dt}+8x+8=0\]then we know:\[\frac{dx}{dt}=0\quad\text{(since differential of a constant is zero)}\]therefore:\[0+8k+8=0\]and you should be able to solve this to find k.

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

    It isn't dx/dt + 8x + 8, but 2t^4*dx/dt + 8x + 8

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    oh I see... It will give the same thing.. Facepalm :) Thanks ^^

  4. asnaseer
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yup :-)

  5. asnaseer
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yw

  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.