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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.
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