EDB — 1SH

[1SH] Prerequisites:[1SF]↺↻.Given \(𝜃∈ℂ\) and \(k∈ℕ\), define \(p(x)=(x-𝜃)^ k\), show that \(p(D)f=0\) if and only if \(f(x)=e^{𝜃 x}r(x) \) with \(r\) polynomial of degree at most \(k-1\).