Content deleted Content added
Starlighsky (talk | contribs) →History: Added image and caption |
Starlighsky (talk | contribs) |
||
Line 88:
==Example==
A standard example{{Citation needed|reason=this example seems like a poor one as it is not even presented as a dynamical system|date=July 2023}} is finding the real-valued function ''y''(''x'') on the interval [''a'', ''b''], such that ''y''(''a'') = ''c'' and ''y''(''b'') = ''d'', for which the
:<math> \text{s} = \int_{a}^{b} \sqrt{\mathrm{d}x^2+\mathrm{d}y^2} = \int_{a}^{b} \sqrt{1+y'^2}\,\mathrm{d}x,</math>
the integrand function being <math display="inline"> L(x,y, y') = \sqrt{1+y'^2} </math>.
| |||