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Euler Lagrange Equations
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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.
#functionalanalysis
#functional
#calculus
#calculusofvariations
#calculusofvariation
#multivariablecalculus
#multivariable
#partial_differentiation
#partialderivatives
#partialdifferentiation
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.
#functionalanalysis
#functional
#calculus
#calculusofvariations
#calculusofvariation
#multivariablecalculus
#multivariable
#partial_differentiation
#partialderivatives
#partialdifferentiation
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