Linear ODEs with periodic solutions

Suppose we have a differential equation of the form x” + b(t) x‘ + c(t) x = f(t) where the functions b and c are periodic with the same period T. When does the equation above have a solution with period T? It turns out [1] the equation above will have a T-periodic solution for […] The post Linear ODEs with periodic solutions first appeared on John D. Cook....

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