Can we remove the arbitrary function? • Physics Forums

flower321 · 2016-10-29T06:09:47+00:00

x(dA/dt) + (dx/dt)A + y(dA/dZ) + (dy/dZ) A = 0 can we remove the arbitrary function A from the equation? i.e. x(d/dt) + (dx/dt) + y(d/dZ) + (dy/dZ) = 0 is it true?

Thread 'How does time derivative commute from one variable to another?'

I'm reviewing Meirovitch's "Methods of Analytical Dynamics," and I don't understand the commutation of the derivative from r to dr: $$ \mathbf{F} \cdot d\mathbf{r} = m \ddot{\mathbf{r}} \cdot d\mathbf{r} = m\mathbf{\dot{r}} \cdot d\mathbf{\dot{r}} $$

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I Can we remove the arbitrary function?

Thread 'How does time derivative commute from one variable to another?'

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