Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

hary

  • one year ago

du(x)/dx- tan(x)u(x)=-2sinx find u(x) inhomogeneous differential equation

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

    \[u'-(\tan x)u=-2\sin x\\ (\cos x)u'-(\sin x)u=-2\sin x\cos x\] What can you say about the LHS?

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

    I saw you were stuck on this one earlier hary, what was the book answer again?

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

    u=cosx +C/cosx this was the book answer

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

    Ah ok good. You must've made a small mistake near the end then. Because your integrating factor looked good.

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

    hmm im guessing the same too..but couldnt figure out where

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

    \[\large u \cos x=-2 \int\limits \sin x \cos x dx\] \[\large m=\cos x\]\[\large -dm=\sin x dx\] Applying this substitution gives us,\[\large u \cos x=2 \int\limits m dm\] \[\large u \cos x=m^2+C\] \[\large u \cos x=\cos^2x+C\]

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

    owh god thats brilliant...did a blunder at my RHS integration

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

    lol, what a mistake. Time for me to go to sleep I think

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

    heh :D

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

    @zepdix thanks alot!!!! was cracking my head on this for quite long...pheww thats a relief... thankx again...

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

    @myko thankx to you too...been a great help

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

    :)

  13. 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.