Results are out! Find what you Get quick advice or join the chat
Hey! Sign in to get help with your study questionsNew here? Join for free to post

Matrix method for solving linear systems help!

Announcements Posted on
  1. Offline

    By considering a particular solution of the form (a,b) + (c,d)t, find the general solution to the following, satisfying initial conditions x(0)=1,y(0)=1.
    dx/dt = 17x - 54y + 53 + 125t , dy/dt = 9x - 28y + 30 + 65t

    I found the complemetary function to be Ae^(-10*t)*(2,1) + B*e^(-t)*(3,1).
    However, i don't know how to find the particular solution....

    Note: (a,b) and so on represent column vectors.
  2. Offline

    Yo, well they've told you what to try right? (x,y) = (a,b) + (c,d)t, so (1,1) = (a,b) + (c,d) * 0 for a start.
    (x,y) = (1,1) + (c,d)t.

    I've not done the question but next you'll want to differentiate (x,y) wrt. t and you get (dx/dt, dy/dt), compare this to what you're given and so on.


Submit reply


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?
  2. this can't be left blank
    this email is already registered. Forgotten your password?
  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 to join now Processing…

Updated: June 9, 2012
New on TSR

Your TSR exam season toolkit

Everything you need to know about study help on TSR

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