Question: Given the equation 4yu???????? + 2(1-y)u????? - u??- 2y(2u? - u?)/(1+ y) = 0. Find the solution u(x, y) which satisfies u(x,0) = g(x) and

Given the equation 4y²u???????? + 2(1-y²)u????? - u??- 2y(2u? - u?)/(1+

Given the equation 4y²u???????? + 2(1-y²)u????? - u??- 2y(2u? - u?)/(1+ y²) = 0. Find the solution u(x, y) which satisfies u(x,0) = g(x) and u?(x,0) = f(x), where f, g ? C²(R) are arbitrary functions.

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