Question: This is a differential equation problem. Please prove this question. Problem 6: Consider equation y' = a($)y, with 0(x) continuous and Tperiodic (i.e., 1(3 +

This is a differential equation problem. Please prove this question.

Problem 6: Consider equation y' = a($)y, with 0(x) continuous and Tperiodic (i.e., 1(3 + T) = a($) for all as). Prove that the solution is Tperiodic if and only if I; a(:1:) d3 = O

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