Show that the boundary-value problem d dx (p(x)y ) + q(x)y = f (x), 0 x 1, y(0) = , y(1)

Chapter 11, Problem 11.5.6

(choose chapter or problem)

Show that the boundary-value problem d dx (p(x)y ) + q(x)y = f (x), 0 x 1, y(0) = , y(1) = , can be transformed by the change of variable z = y x (1 x) into the form d dx (p(x)z ) + q(x)z = F(x), 0 x 1, z(0) = 0, z(1) = 0.

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