# The optimization problem

Please, help me solve this problem: $$\int_{0}^{T_0}(xy'-yx')dt \to sup,$$ $(\frac{x'}{a})^2+(\frac{y'}{b})^2 \le1,~$ $x(0)=x(T_0),~$ $y(0)=y(T_0)$

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Is the constraint $(x'/a)^2+(y'/b)^2 \le 1$ pointwise? –  Mercy Dec 17 '12 at 22:20
Yes, I think so. –  user31497 Dec 17 '12 at 22:38