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## Homework Statement

Let y = y

_{1}(t) be a solution of

y' + p(t)y = 0, (i)

and let y = y

_{2}(t) be a solution of

y' + p(t)y = g(t). (ii)

Show that y = y

_{1}(t) + y

_{2}(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?