Hey there Sign in to join this conversationNew here? Join for free

Linear difference equation (order two)

Announcements Posted on
    • Thread Starter
    • 2 followers
    Offline

    ReputationRep:


    So far i have found a complementary solution

    how do i find the particular solution

    so that i can get the general solution which = particular + complementary solution


    thanks
    • 13 followers
    Offline

    ReputationRep:
    Finding the PI is basically guesswork.

    For a first guess, a constant multiple of the RHS is usually a good guess. So here you would guess that the PI is a constant.
    • Thread Starter
    • 2 followers
    Offline

    ReputationRep:
    (Original post by DFranklin)
    Finding the PI is basically guesswork.

    For a first guess, a constant multiple of the RHS is usually a good guess. So here you would guess that the PI is a constant.
    hmm still confused...
    i dont think i quite understand what the particular solution is in this case
    • 13 followers
    Offline

    ReputationRep:
    (Original post by The Mr Z)
    This isn't a differential equation, it's a series equation.
    As the OP says, this is an second order linear difference equation. They are solved using analogous methods to differential equations. And so...

    There aren't complementary/particular solutions to be found.
    Not true.
    • 13 followers
    Offline

    ReputationRep:
    (Original post by Milan.)
    hmm still confused...
    i dont think i quite understand what the particular solution is in this case
    If y_x = A (for all n), what is y_{x+2} - y_{x+1} + \frac{1}{2} y_x? So if this is to equal 40, what must A be?

Reply

Submit reply

Register

Thanks for posting! You just need to create an account in order to submit the post
  1. this can't be left blank
    that username has been taken, please choose another Forgotten your password?

    this is what you'll be called on TSR

  2. this can't be left blank
    this email is already registered. Forgotten your password?

    never shared and never spammed

  3. this can't be left blank

    6 characters or longer with both numbers and letters is safer

  4. this can't be left empty
    your full birthday is required
  1. By joining you agree to our Ts and Cs, privacy policy and site rules

  2. Slide the button to the right to create your account

    Slide to join now Processing…

Updated: April 5, 2012
New on TSR

Talk about SQA results day

Join the chat ahead of grades coming out on Tuesday

Article updates
Reputation gems:
You get these gems as you gain rep from other members for making good contributions and giving helpful advice.