Denote by G(s) the Laplace transform of a function g(y). Given that R(s) > 0, i.e. the real part of the complex variable s is strictly positive. Using the Laplace transform method, solve for y≥ 0 the following differential equation: subject to g = 0 and daya tang d²g y dy² = 0 at x = 0. + (1 −y) dg dy + 2g = 0, Your answer must contain detailed explanation, calculation as well as logical argumentation leading to the result.

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