Find the Euler-Lagrange equations for the following functional, assuming that y(x) is fixed at the boundaries...

 

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Find the Euler-Lagrange equations for the following functional, assuming that y(x) is fixed at the boundaries and g(x) and p(x) are sufficiently smooth that all the necessary operations are kosher: J[y] = √ [p(x) (Vy • Vy) + q(x)y(x)²] dx. Find the Euler-Lagrange equations for the following functional, assuming that y(x) is fixed at the boundaries and g(x) and p(x) are sufficiently smooth that all the necessary operations are kosher: J[y] = √ [p(x) (Vy • Vy) + q(x)y(x)²] dx.

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Solution Solution let Euler Lagrange Equations for the following functional assuming that ... View the full answer