For y E 04kt, b], consider a functional of the form I) Jig]: f powwow. First integrals: Use the differential equation for extremals as derived in class, in this higher-order case known as an Euler-Poisson equation, d d2 Fy EFL\" + @Fy\" = 0, SHOW THAT if F013, 3;, y', y\" ) does not depend explicitly on 1'3, then the system has the rst