Solution
= Solution
$N(2T)/N(0)=\exp[-\int_0^{2T}\beta(\theta(t))dt]$. Evaluation gives the implicit equation
$$
\boxed{\beta_{\max}\left[T-\frac{e^{-\alpha T}(1-e^{-\alpha T})}{\alpha}\right]=\log100.}
$$
= Solution
$N(2T)/N(0)=\exp[-\int_0^{2T}\beta(\theta(t))dt]$. Evaluation gives the implicit equation
$$
\boxed{\beta_{\max}\left[T-\frac{e^{-\alpha T}(1-e^{-\alpha T})}{\alpha}\right]=\log100.}
$$