Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

John_henderson

  • 2 years ago

1. Given that X=x(t) and y=Y(t) are two functions of time, t and they are related by the following equations. dx/dt - x +y=e^t x-dy/dt=0 by eliminatiing x=x(t) and its derivative show that : d^2y/dt^2- dy/dt+y = e^t 2. Use laplace transform to solve the resulting differential eqaution : d^2y/dt^2 - dy/dt +y = e^t conditions y(0)=1 and dy/dt=1 and t=0 3. Hence find an explicit form of x=x(t)

  • This Question is Closed
  1. John_henderson
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    im i supposed to diffrentiate the first part?

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

    i dont have a clue how to start this ?

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

    How can eliminate x(t)?

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

    Any idea how?

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

    First derive the second equation wrt time: dx/dt - d^2y/dt^2=0 Rewrite as: dx/dt = d^2y/dt^2 <---- 1 Now rewrite the second equation: x = dy/dt <----2 Now look at the first equation: dx/dt - x +y=e^t Sub in 1 and 2: d^2y/dt^2 - dy/dt + y = e^t which gives the desired result.

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

    I've never done differential equations or laplace transformations, so I can't help on the second and third one, sorry

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

    oh right i see, i think i can do question 2, but not sure about 3?

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

    If you give me the answer to the second one, I can try and figure out 3.

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

    let me work on ...

  10. mahmit2012
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1354568179841:dw|

  11. mahmit2012
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1354568287483:dw|

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

    Where did you get xcos from?

  13. mahmit2012
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1354568458794:dw|

  14. mahmit2012
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1354568607205:dw|

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

    right so for part 3 you meant to solve in terms of x !

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

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.