Question: 1. Consider the boundary value problem ey - xy - y = 1, y(0) = y(1) = 1. Find a leading-order outer approximation. Show

1. Consider the boundary value problem ey" - xy - y =

1. Consider the boundary value problem ey" - xy - y = 1, y(0) = y(1) = 1. Find a leading-order outer approximation. Show that there exist boundary layers at both r = 0 and 2 = 1, and find leading-order inner approximations for each boundary layer. Sketch the outer and inner solutions. 2. Consider the nonlinear problem (x + y)y + y = 1, Find the solution up to ord(1) for -

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