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In: Advanced Math

1. [9 marks] Consider the boundary-value problem, y′′ +2εy1/2 = 0, y(0) = 1,y(1) = 3/2....

1. [9 marks] Consider the boundary-value problem,
y′′ +2εy1/2 = 0, y(0) = 1,y(1) = 3/2.
Letting y = y0 + εy1 + ε2y2 + . . . , find y0 and y1 and hence y with error O(ε2).

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