Final answer:
The question lacks a clear context and does not provide enough information to solve for the function y as a function of x or to determine y'''(4). It seems to pertain to solving differential equations or finding derivatives in mathematics.
Step-by-step explanation:
The question seems to be about finding a function y in terms of x, where y''' refers to the third derivative of y with respect to x. In mathematics, differential equations involve finding a function that satisfies a given relationship involving derivatives. The provided information includes several mathematical expressions and equations, but they do not clearly indicate a coherent process or method to find the required function y as a function of x. If the value of y'''(4) is needed, we will require the function y or at least its first, second, and third derivatives to evaluate at x = 4. The value 4.1 x 10-8 appears to be a solution to a quadratic equation and could be a specific evaluation point or parameter in the context of an undefined example.