Show that the boundary-value problem
− d / dx (p(x)y') + q(x)y = f (x), a ≤ x ≤ b, y(a) = α, y(b) = β,
can be transformed into the form
− d / dw (p(w)z') + q(w)z = F(w), 0≤ w ≤ 1, z(0) = 0, z(1) = 0,
by a method similar to that given in Exercise 6.