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1-u-u-t-u-v-t-1-v-v-t-v-u-t-t-uv-




Question Number 1804 by 123456 last updated on 03/Oct/15
(1−u)(∂u/∂t)=u(∂v/∂t)  (1−v)(∂v/∂t)=v(∂u/∂t)  (∂/∂t)(uv)=?
$$\left(\mathrm{1}−{u}\right)\frac{\partial{u}}{\partial{t}}={u}\frac{\partial{v}}{\partial{t}} \\ $$$$\left(\mathrm{1}−{v}\right)\frac{\partial{v}}{\partial{t}}={v}\frac{\partial{u}}{\partial{t}} \\ $$$$\frac{\partial}{\partial{t}}\left({uv}\right)=? \\ $$

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