(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hi everyone.

I am trying to prove the superposition principle for linear homogeneous equations, which states that if u(t) and w(t) are solutions to y' + p(t)y = 0, then u(t) + w(t) and k(u(t)) are also solutions for any constant k.

3. The attempt at a solution

I substituted (u + w) in for y, but how does that help me?

Thanks in advance for the help!

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# Homework Help: Proving the superposition principle

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