Differential equations question

  • Thread starter DWill
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  • #1
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Homework Statement


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)


Homework Equations





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?
 

Answers and Replies

  • #2
Dick
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No. Just substitute y=y1(t)+y2(t) into the second equation and use the first one to simplify it.
 

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