Consider a specific problem where a physical system's dynamic behavior is governed by a first$-$order differential equation. Present the mathematical differential equations of the problem with the relevant conditions. Solve the problem using the $4$ th order Adams$-$Bashforth Predictor Method and refine the solution with the $4$ th order Adams$-$Moulton Corrector method. Frame the problem in a way that the initial values for the Adams$-$Bashforth mathods are required and should be computed using the Euler method. Finally, explain the relevance of your result$-$in real$-$life. Your solution may include but not limited to

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