Calculate the solution to the following SDE: [d X_{t}=alphaleft(m-X_{t} ight) d t+sigma d B_{t}] with (X_{0}=x). The

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Calculate the solution to the following SDE:

\[d X_{t}=\alpha\left(m-X_{t}\right) d t+\sigma d B_{t}\]

with \(X_{0}=x\). The process satisfying this equation is called the meanreverting Ørnstein-Uhlenbeck process.

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