ABSTRACT
Bkx k , where the constants Bk can be found from the corresponding system
of algebraic equations.
14. ∫ ∞
1 y(t)y(xt) dt = Ax-λ, λ > 0, 1 ≤ x < ∞.
This is a special case of equation 7.2.3 with f (t) = 1, a = 1, and b =∞. 1◦. Solutions:
y1(x) = Bx-λ, y2(x) = –Bx-λ, λ > 12 ; y3(x) = B
[(2λ – 3)x – 2λ + 2]x-λ, y4(x) = –B[(2λ – 3)x – 2λ + 2]x-λ, λ > 32 ; where B =
√ A(2λ – 1).
