anonymous
  • anonymous
consider the linear diff. eq. u' = p(t)u + q(t). is it true that the sum of two solutions is again a solution? is a constant time a solution again a solution? what if q(t) = 0? show that if u1 is a solution to u' = p(t)u and u2 is a solution to u' = p(t)u + q(t), then u1 + u2 is a solution to u' = p(t)u + q(t).
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
i'm pretty sure this has to do with a simple e^x deal but am not exactly sure how to prove it.

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