Beth D.

asked • 02/17/24

Need help with differential equations about undetermined coeffiecients

Find the general solution of:

y ′′ + 8y ′ + 17y = cost


I got the complementary solution of y = e^-4t (Acost + Bsint)


I am not sure how to get the particular solution, I made the guess using Acost + Bsint but I'm not sure if that's right or how to progress from there.

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