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2021 CMC (Non-Math Major) Problem 7

Source: 2021 CMC (Non-Math Major) Problem 7

November 25, 2022
differential equation

Problem Statement

Let f(x)f(x) be a bounded continuous function on [0,+)[0,+\infty). Prove that every solutions of the equation y+14y+13y=f(x)y''+14y'+13y=f(x) are bounded continuous functions on [0,+)[0,+\infty)