1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Differential equations question

  1. Jan 27, 2009 #1
    1. The problem statement, all variables and given/known data
    Let y = y1(t) be a solution of
    y' + p(t)y = 0, (i)

    and let y = y2(t) be a solution of
    y' + p(t)y = g(t). (ii)

    Show that y = y1(t) + y2(t) is also a solution of Eq. (ii)

    2. Relevant equations

    3. The attempt at a solution
    I'm not really sure how to start this one. Do I try to solve both (i) and (ii) first?
  2. jcsd
  3. Jan 27, 2009 #2


    User Avatar
    Science Advisor
    Homework Helper

    No. Just substitute y=y1(t)+y2(t) into the second equation and use the first one to simplify it.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook