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Results tagged with multivariable-calculus
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user 700617
Use this tag for questions about differential and integral calculus with more than one independent variable. Some related tags are (differential-geometry), (real-analysis), and (differential-equations).
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Help with Isoperimetric\integral constraint
Book
From the Book: A First Course in the Calculus of Variations
Section 5.3
Page of book: 118/pdf page: 129
link: here
Question
They have use the equation: $y(x) +\epsilon_1\eta_1(x)+\epsilon_2\eta_2 …
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Help with use of Fundamental Lemma of Calculus of Variations in deriving eluer lagrange equa...
I am having problem with understanding the potential of $y(x)$ being dependent on $\eta(x)$ when using the Fundamental Lemma of Calculus of Variations we deriving the formula for euler lagrange equati …
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Help with Isoperimetric\integral constraint
For no constraints we have the curve: $y(x,\epsilon) =y(x,0) + \epsilon\eta(x)$
but this does not work for when we have a constraint eg: the length of the curve must = $l$ which is a integral constr …
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Help with Deriving the Euler-Lagrange equation(Possible misunderstanding Leibniz integral rule)
I have been working on the euler lagrange equations for physics, and they very briefly discussed the build up of it. I want to know more about it so I started to use wiki for help but I am stuck on th …
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Help with Deriving the Euler-Lagrange equation
I have a problem with the last step on the proof: wiki
\begin{equation}
\int_a^b\left[\frac{\partial L}{\partial f} - \frac{d}{dx}\frac{\partial L}{\partial f'}\right]\eta(x) dx =0
\end{equation} wher …
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