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Claudio Saspinski
Claudio Saspinski
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The equations which involve an integral isare called a functional functional and for extremum of functional, euler lagrangeEuler Lagrange equations are used. For example the functional could be integral√(1-(dy/dx)^2dx$\int \sqrt{(1-(dy/dx)^2}dx$ which is the functional for a length of any curve y, using euler lagrangeEuler Lagrange equations,we we can show that the equation is a straight line which means the extromumextremum for distance is a straight line.

The equations which involve an integral is called a functional and for extremum of functional, euler lagrange equations are used. For example the functional could be integral√(1-(dy/dx)^2dx which is the functional for a length of any curve y, using euler lagrange equations,we can show that the equation is a straight line which means the extromum for distance is straight line.

The equations which involve an integral are called functional and for extremum of functional, Euler Lagrange equations are used. For example the functional could be $\int \sqrt{(1-(dy/dx)^2}dx$ which is the functional for a length of any curve y, using Euler Lagrange equations, we can show that the equation is a straight line which means the extremum for distance is a straight line.

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Souvik purkayastha
Souvik purkayastha
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The equations which involve an integral is called a functional and for extremum of functional, euler lagrange equations are used. For example the functional could be integral√(1-(dy/dx)^2dx which is the functional for a length of any curve y, using euler lagrange equations,we can show that the equation is a straight line which means the extromum for distance is straight line.