 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2019/ii/paper-2/8e/d/solution

Codex  0 Created 2026-09-24 Updated 2026-10-03

\frac{df}{d t} = \sum_{i} (\frac{\partial f}{\partial q _{i}} \overset{q}{˙}_{i} + \frac{\partial f}{\partial p _{i}} \overset{p}{˙}_{i}) + \frac{\partial f}{\partial t} = \sum_{i} (\frac{\partial f}{\partial q _{i}} \frac{\partial H}{\partial p _{i}} - \frac{\partial f}{\partial p _{i}} \frac{\partial H}{\partial q _{i}}) + \frac{\partial f}{\partial t} .

{f, H}

\frac{df}{d t} = {f, H} + \frac{\partial f}{\partial t} .

 New to topics? Read the docs here!