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Euler Lagrange Equations

Integrals and Second Order Linear Differential Equations This is a Variational Problem Here we solve an Integral with a Second Order Differential Equation . We find y(x) is the sum of the complimentary solution and the particular solutions . These equations involve solving by finding the coefficients of a quadratic as well as solving the auxiliary equation. We use the sinh(lambda(x-a))+sinh(lambda(x-b)) equals a quadratic for our general solution.    • Find Stationary point of a Functional usin...      • Differential Equations: Eigenvalues and Ei...      • 2nd Order Differential Equation y''=cos(x)...      • Minimise Kinetic Energy on an Arc using Pa...      • Using Eulers First integral in Multivariab...   #functionalanalysis #functional #calculus #calculusofvariations #calculusofvariation #multivariablecalculus #multivariable #partial_differentiation #partialderivatives #partialdifferentiation #sumchief #somesums