Here's the question you clicked on:
henpen
'Any linear differential equation \[p(D)x=0\] MUST have the solutions in the form \[x=Ae^{pt}\]or \[x=At^ne^{pt}\]' why is this? How is it proved?
I understand that it's A solution, but why the ONLY type of solution?
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How do you prove that it's just them?