Smooth non-unique solutions exist for the PDE with f(0,x)=0 and positive M, while uniqueness holds for a large class of M, including a ChatGPT-suggested example.
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Non-uniqueness for a differential equation and a proof by ChatGPT
Smooth non-unique solutions exist for the PDE with f(0,x)=0 and positive M, while uniqueness holds for a large class of M, including a ChatGPT-suggested example.