Problem #2: Referring to the same integral functional
I(u)
in the problem above, the associated Euler Lagrange equation can be written in the form
-h_(1)(x)u^('')(x)-h_(2)(x)u^(')(x)=(1-(h_(3)(x)u(x))^(2))h_(4)(x)u(x).
Find the function
h_(2)(x)
.

Question

Problem #2: Referring to the same integral functional

I(u)

in the problem above, the associated Euler Lagrange equation can be written in the form

-h_(1)(x)u^('')(x)-h_(2)(x)u^(')(x)=(1-(h_(3)(x)u(x))^(2))h_(4)(x)u(x).

Find the function

h_(2)(x)

.

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