I need to find the maximum value of(adsbygoogle = window.adsbygoogle || []).push({});

[tex]A[y(x)]= \int_{0}^{1}y^2 dx [/tex]

with boundary conditions y(0)=y(1)=0 and

[tex]\int_{0}^{1}(\frac{dy}{dx})^2=1[/tex]

Do I have to use the Euler lagrange equations? I thought that found the minimum value??

Any hints on the steps to take would be appreciated.

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# Calculus of variations question

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