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...Issn www ajsp net calculus of variations and the euler lagrange equation researcher tahani hassan ahmed alballa sudan university science technology arab journal for scientific publishing abstract in this paper we review some typical problems that are easy to model although perhaps not so solve also discuss basics concepts particular consider applications will provide us with mathematical language necessary formulating lagrangian mechanics keywords functional variational problem formalism introduction is art find optimal solutions describe their essential properties daily life one has regularly decide such questions as which solution a best or worst object property highest lowest degree what strategy reach goal example might ask shortest way from point another quickest connection two points certain situation isoperimetric already considered antiquity question kind here task among all closed curves given length enclosing maximal area appeal optimum consists fact usually they formulate un...