Let (left(B_{t}ight)_{t geqslant 0}) be a (mathrm{BM}^{1}). Find an SDE which has (X_{t}=t B_{t}, t geqslant 0),

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Let \(\left(B_{t}ight)_{t \geqslant 0}\) be a \(\mathrm{BM}^{1}\). Find an SDE which has \(X_{t}=t B_{t}, t \geqslant 0\), as unique solution.

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