Expand the given function in a Fourier-Bessel series, using Bessel functions of the same order as in the indicated boundary condition. F(x) = x², 0 < x < 5, J₁(5a) = 0 [Hint: ³ = • t.] f(x) = 25-4 © f(x) = © J₂(5α) 4a² 30² (5a) ³o (a; x), where the a; are defined by J'o (5x) = 0. on 1=2 F(x) = 25-5 J₂(5α) a Jo² (5x) (ax), where the a, are defined by J'o(5a) = 0. J₁(5α) 5.Σ, αΐ3 (5) i=2 J₂(5α) F(x) = 25a² (5a) i=2 J₁(5α) (ax), where the a, are defined by J'o(5a) = 0. Jo(ax), where the a; are defined by J'o(5a) = 0. © f(x) = 25 - 410 (5) ³o(ax), where the a; are defined by J'o(5x) = 0. eBook